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101
์•„์‹œ์•„
3
์ง์ ‘ ์ƒ์„ฑ
์ด 8์ผ ๋™์•ˆ ์•„์‹œ์•„ 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋Œ€๊ตฌ์—์„œ 4์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์ƒํ•˜์ด์—์„œ 3์ผ์„ ๋ณด๋‚ด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ๊ตํ† ์—์„œ๋„ 3์ผ์„ ๋ณด๋‚ด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. 7์ผ์ฐจ์— ๊ตํ† ์—์„œ ๊ฐ€๋ถ€ํ‚ค๋ฅผ ๋ณผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋Œ€๊ตฌ์™€ ๊ตํ† , ์ƒํ•˜์ด์™€ ๋Œ€๊ตฌ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 8์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์ƒํ•˜์ด ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์ƒํ•˜์ด์—์„œ ๋Œ€๊ตฌ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ๋Œ€๊ตฌ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋Œ€๊ตฌ์—์„œ ๊ตํ† ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ๊ตํ†  ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in Asia for a total of 8 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 4 days in Daegu. You'll spend 3 days in Shanghai. You'll also spend 3 days in Kyoto. On day 7, you'll see Kabuki in Kyoto. Here are the cities that have direct flights: Daegu and Kyoto, Shanghai and Daegu. Plan a trip to visit these three cities in 8 days using direct flights.
Days 1-3: Visit Shanghai for 3 days. Day 3: Fly from Shanghai to Daegu. Days 3-6: Visit Daegu for 4 days. Day 6: Fly from Daegu to Kyoto. Days 6-8: Visit Kyoto for 3 days.
๋ณ€์ˆ˜ ์ •์˜: D: ๋Œ€๊ตฌ, S: ์ƒํ•˜์ด, K: ๊ตํ†  a_D: ๋Œ€๊ตฌ ๋„์ฐฉ์ผ, d_D: ๋Œ€๊ตฌ ์ถœ๋ฐœ์ผ a_S: ์ƒํ•˜์ด ๋„์ฐฉ์ผ, d_S: ์ƒํ•˜์ด ์ถœ๋ฐœ์ผ a_K: ๊ตํ†  ๋„์ฐฉ์ผ, d_K: ๊ตํ†  ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_D - a_D + 1 = 4 d_S - a_S + 1 = 3 d_K - a_K + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_D, d_S, d_K) - min(a_D, a_S, a_K) + 1 = 8 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_K โ‰ค 7 โ‰ค d_K ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (D โ†” K), (S โ†” D) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์ƒํ•˜์ด ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์ƒํ•˜์ด์—์„œ ๋Œ€๊ตฌ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ๋Œ€๊ตฌ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋Œ€๊ตฌ์—์„œ ๊ตํ† ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ๊ตํ†  ๋ฐฉ๋ฌธ.
102
์•„์‹œ์•„
3
์ง์ ‘ ์ƒ์„ฑ
์ด 9์ผ ๋™์•ˆ ์•„์‹œ์•„ 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 4์ผ์„ ์ž์นด๋ฅดํƒ€์—์„œ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 2-3์ผ์— ์ž์นด๋ฅดํƒ€์—์„œ ์—ด๋ฆฌ๋Š” ์ˆ˜์˜ ๊ฒฝ๊ธฐ์— ์ฐธ๊ฐ€ํ•ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. 2์ผ ๋™์•ˆ ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ์—์„œ ๋จธ๋ฌผ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์‹ฑ๊ฐ€ํฌ๋ฅด์—์„œ๋Š” 5์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์‹ฑ๊ฐ€ํฌ๋ฅด์™€ ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ, ์ž์นด๋ฅดํƒ€์™€ ์‹ฑ๊ฐ€ํฌ๋ฅด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 9์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์ž์นด๋ฅดํƒ€ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์ž์นด๋ฅดํƒ€์—์„œ ์‹ฑ๊ฐ€ํฌ๋ฅด๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ์‹ฑ๊ฐ€ํฌ๋ฅด ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์‹ฑ๊ฐ€ํฌ๋ฅด์—์„œ ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ๋กœ ๋น„ํ–‰. 8-9์ผ์ฐจ: 2์ผ๊ฐ„ ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in Asia for a total of 9 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to spend 4 days in Jakarta. On days 2-3, you need to participate in a swimming competition in Jakarta. You want to spend 2 days in Johor Bahru. You will spend 5 days in Singapore. Here are the cities that have direct flights: Singapore and Johor Bahru, Jakarta and Singapore. Plan a trip to visit the three cities in 9 days using direct flights.
Days 1-4: Visit Jakarta for 4 days. Day 4: Fly from Jakarta to Singapore. Days 4-8: Visit Singapore for 5 days. Day 8: Fly from Singapore to Johor Bahru. Days 8-9: Visit Johor Bahru for 2 days.
๋ณ€์ˆ˜ ์ •์˜: J: ์ž์นด๋ฅดํƒ€, H: ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ, S: ์‹ฑ๊ฐ€ํฌ๋ฅด a_J: ์ž์นด๋ฅดํƒ€ ๋„์ฐฉ์ผ, d_J: ์ž์นด๋ฅดํƒ€ ์ถœ๋ฐœ์ผ a_H: ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ ๋„์ฐฉ์ผ, d_H: ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ ์ถœ๋ฐœ์ผ a_S: ์‹ฑ๊ฐ€ํฌ๋ฅด ๋„์ฐฉ์ผ, d_S: ์‹ฑ๊ฐ€ํฌ๋ฅด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_J - a_J + 1 = 4 d_H - a_H + 1 = 2 d_S - a_S + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_J, d_H, d_S) - min(a_J, a_H, a_S) + 1 = 9 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: {2, 3} โІ [a_J, d_J] ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (S โ†” H), (J โ†” S) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์ž์นด๋ฅดํƒ€ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์ž์นด๋ฅดํƒ€์—์„œ ์‹ฑ๊ฐ€ํฌ๋ฅด๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ์‹ฑ๊ฐ€ํฌ๋ฅด ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์‹ฑ๊ฐ€ํฌ๋ฅด์—์„œ ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ๋กœ ๋น„ํ–‰. 8-9์ผ์ฐจ: 2์ผ๊ฐ„ ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ ๋ฐฉ๋ฌธ.
103
์•„์‹œ์•„
3
์ง์ ‘ ์ƒ์„ฑ
์ด 12์ผ ๋™์•ˆ ์•„์‹œ์•„ 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์‹œ์•”๋ ˆ์•„ํ”„์—์„œ 5์ผ์„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ํ˜ธ์น˜๋ฏผ์„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ๊ณผ 7์ผ ์‚ฌ์ด์— ํ˜ธ์น˜๋ฏผ์—์„œ ๊ฐ€์กฑ๊ณผ ํ•จ๊ป˜ ์—ฌํ–‰์„ ํ•˜๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. ๋งŒ๋‹ฌ๋ ˆ์ด์—์„œ 2์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํ˜ธ์น˜๋ฏผ๊ณผ ๋งŒ๋‹ฌ๋ ˆ์ด, ์‹œ์•”๋ ˆ์•„ํ”„์™€ ํ˜ธ์น˜๋ฏผ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 12์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ๋งŒ๋‹ฌ๋ ˆ์ด ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ๋งŒ๋‹ฌ๋ ˆ์ด์—์„œ ํ˜ธ์น˜๋ฏผ์œผ๋กœ ๋น„ํ–‰. 2-8์ผ์ฐจ: 7์ผ๊ฐ„ ํ˜ธ์น˜๋ฏผ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํ˜ธ์น˜๋ฏผ์—์„œ ์‹œ์•”๋ ˆ์•„ํ”„๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ์‹œ์•”๋ ˆ์•„ํ”„ ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in Asia for a total of 12 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to spend 5 days in Siem Reap. You will be visiting Ho Chi Minh City for 7 days. You will be traveling with your family in Ho Chi Minh City between days 3 and 7. You will be spending 2 days in Mandalay. Here are the cities that have direct flights: Ho Chi Minh City and Mandalay, Siamreap and Ho Chi Minh City. Plan your trip to visit the three cities in 12 days using direct flights.
Day 1-2: Visit Mandalay for 2 days. Day 2: Fly from Mandalay to Ho Chi Minh City. Days 2-8: Visit Ho Chi Minh City for 7 days. Day 8: Fly from Ho Chi Minh City to Siem Reap. Days 8-12: Visit Siam Reap for 5 days.
๋ณ€์ˆ˜ ์ •์˜: S: ์‹œ์•”๋ ˆ์•„ํ”„, H: ํ˜ธ์น˜๋ฏผ, M: ๋งŒ๋‹ฌ๋ ˆ์ด a_S: ์‹œ์•”๋ ˆ์•„ํ”„ ๋„์ฐฉ์ผ, d_S: ์‹œ์•”๋ ˆ์•„ํ”„ ์ถœ๋ฐœ์ผ a_H: ํ˜ธ์น˜๋ฏผ ๋„์ฐฉ์ผ, d_H: ํ˜ธ์น˜๋ฏผ ์ถœ๋ฐœ์ผ a_M: ๋งŒ๋‹ฌ๋ ˆ์ด ๋„์ฐฉ์ผ, d_M: ๋งŒ๋‹ฌ๋ ˆ์ด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_S - a_S + 1 = 5 d_H - a_H + 1 = 7 d_M - a_M + 1 = 2 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_S, d_H, d_M) - min(a_S, a_H, a_M) + 1 = 12 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [3, 7] โˆฉ [a_H, d_H] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (H โ†” M), (S โ†” H) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ๋งŒ๋‹ฌ๋ ˆ์ด ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ๋งŒ๋‹ฌ๋ ˆ์ด์—์„œ ํ˜ธ์น˜๋ฏผ์œผ๋กœ ๋น„ํ–‰. 2-8์ผ์ฐจ: 7์ผ๊ฐ„ ํ˜ธ์น˜๋ฏผ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํ˜ธ์น˜๋ฏผ์—์„œ ์‹œ์•”๋ ˆ์•„ํ”„๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ์‹œ์•”๋ ˆ์•„ํ”„ ๋ฐฉ๋ฌธ.
104
์•„์‹œ์•„
3
์ง์ ‘ ์ƒ์„ฑ
์ด 10์ผ ๋™์•ˆ ์•„์‹œ์•„ 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ์น˜์•™๋งˆ์ด๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ๋ณด๋ผ์นด์ด์— ์žˆ์„ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๋ฒต๊ฐˆ๋ฃจ๋ฃจ์—์„œ ์—ฌํ–‰์„ ํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ๋ฒต๊ฐˆ๋ฃจ๋ฃจ์— ์žˆ๋Š” ์นด๋ ˆ ๋ง›์ง‘์„ 8์ผ์ฐจ์— ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์น˜์•™๋งˆ์ด์™€ ๋ณด๋ผ์นด์ด, ๋ฒต๊ฐˆ๋ฃจ๋ฃจ์™€ ์น˜์•™๋งˆ์ด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 10์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋ณด๋ผ์นด์ด ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ณด๋ผ์นด์ด์—์„œ ์น˜์•™๋งˆ์ด๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ์น˜์•™๋งˆ์ด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์น˜์•™๋งˆ์ด์—์„œ ๋ฒต๊ฐˆ๋ฃจ๋ฃจ๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฒต๊ฐˆ๋ฃจ๋ฃจ ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in Asia for a total of 10 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll be in Chiang Mai for 3 days. You'll be in Boracay for 5 days. You want to travel to Bengaluru for 4 days. You have a reservation for a curry restaurant in Bengaluru on day 8. Here are the cities that have direct flights: Chiang Mai and Boracay, Bengaluru and Chiang Mai. Plan a trip to visit the three cities in 10 days using direct flights.
Days 1-5: Visit Boracay for 5 days. Day 5: Fly from Boracay to Chiang Mai. Days 5-7: Visit Chiang Mai for 3 days. Day 7: Fly from Chiang Mai to Bengaluru. Days 7-10: Visit Bengaluru for 4 days.
๋ณ€์ˆ˜ ์ •์˜: C: ์น˜์•™๋งˆ์ด, B: ๋ณด๋ผ์นด์ด, G: ๋ฒต๊ฐˆ๋ฃจ๋ฃจ a_C: ์น˜์•™๋งˆ์ด ๋„์ฐฉ์ผ, d_C: ์น˜์•™๋งˆ์ด ์ถœ๋ฐœ์ผ a_B: ๋ณด๋ผ์นด์ด ๋„์ฐฉ์ผ, d_B: ๋ณด๋ผ์นด์ด ์ถœ๋ฐœ์ผ a_G: ๋ฒต๊ฐˆ๋ฃจ๋ฃจ ๋„์ฐฉ์ผ, d_G: ๋ฒต๊ฐˆ๋ฃจ๋ฃจ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_C - a_C + 1 = 3 d_B - a_B + 1 = 5 d_G - a_G + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_C, d_B, d_G) - min(a_C, a_B, a_G) + 1 = 10 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_G โ‰ค 8 โ‰ค d_G ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (C โ†” B), (G โ†” C) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋ณด๋ผ์นด์ด ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ณด๋ผ์นด์ด์—์„œ ์น˜์•™๋งˆ์ด๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ์น˜์•™๋งˆ์ด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์น˜์•™๋งˆ์ด์—์„œ ๋ฒต๊ฐˆ๋ฃจ๋ฃจ๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฒต๊ฐˆ๋ฃจ๋ฃจ ๋ฐฉ๋ฌธ.
105
์•„์‹œ์•„
4
์ง์ ‘ ์ƒ์„ฑ
์ด 9์ผ ๋™์•ˆ ์•„์‹œ์•„ 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ฐ”์ฟ ์—์„œ 3์ผ์„ ๋ณด๋‚ด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ ์นด๋ถˆ์—์„œ ์—ฌํ–‰์„ ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 2์ผ๊ฐ„ ๋ผ์™ˆํ•€๋””์— ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์•„์‹œ๊ฐ€๋ฐ”ํŠธ์—์„œ 4์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ž๊ฐ€ ๊ฐ€์žฅ ์ ์€ ๋„์‹œ๋ฅผ ๋งˆ์ง€๋ง‰์— ๋“ค๋ฅด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์นด๋ถˆ๊ณผ ์•„์‹œ๊ฐ€๋ฐ”ํŠธ, ๋ผ์™ˆํ•€๋””์™€ ์นด๋ถˆ, ๋ฐ”์ฟ ์™€ ์•„์‹œ๊ฐ€๋ฐ”ํŠธ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 9์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฐ”์ฟ  ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋ฐ”์ฟ ์—์„œ ์•„์‹œ๊ฐ€๋ฐ”ํŠธ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ์•„์‹œ๊ฐ€๋ฐ”ํŠธ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์•„์‹œ๊ฐ€๋ฐ”ํŠธ์—์„œ ์นด๋ถˆ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ์นด๋ถˆ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์นด๋ถˆ์—์„œ ๋ผ์™ˆํ•€๋””๋กœ ๋น„ํ–‰. 8-9์ผ์ฐจ: 2์ผ๊ฐ„ ๋ผ์™ˆํ•€๋”” ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in Asia for a total of 9 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 3 days in Baku. You'll travel to Kabul for 3 days. You'll be in Rawalpindi for 2 days. You will spend 4 days in Ashgabat. You want to stop in the city with the least number of days at the end. Here are the cities that have direct flights: Kabul and Ashgabat, Rawalpindi and Kabul, Baku and Ashgabat. Plan a trip to visit four cities in nine days using direct flights.
Days 1-3: Visit Baku for 3 days. Day 3: Fly from Baku to Ashgabat. Days 3-6: Visit Ashgabat for 4 days. Day 6: Fly from Ashgabat to Kabul. Days 6-8: Visit Kabul for 3 days. Day 8: Fly from Kabul to Rawalpindi. Days 8-9: Visit Rawalpindi for 2 days.
๋ณ€์ˆ˜ ์ •์˜: B: ๋ฐ”์ฟ , K: ์นด๋ถˆ, R: ๋ผ์™ˆํ•€๋””, A: ์•„์‹œ๊ฐ€๋ฐ”ํŠธ a_B: ๋ฐ”์ฟ  ๋„์ฐฉ์ผ, d_B: ๋ฐ”์ฟ  ์ถœ๋ฐœ์ผ a_K: ์นด๋ถˆ ๋„์ฐฉ์ผ, d_K: ์นด๋ถˆ ์ถœ๋ฐœ์ผ a_R: ๋ผ์™ˆํ•€๋”” ๋„์ฐฉ์ผ, d_R: ๋ผ์™ˆํ•€๋”” ์ถœ๋ฐœ์ผ a_A: ์•„์‹œ๊ฐ€๋ฐ”ํŠธ ๋„์ฐฉ์ผ, d_A: ์•„์‹œ๊ฐ€๋ฐ”ํŠธ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_B - a_B + 1 = 3 d_K - a_K + 1 = 3 d_R - a_R + 1 = 2 d_A - a_A + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_B, d_K, d_R, d_A) - min(a_B, a_K, a_R, a_A) + 1 = 9 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: max(a_R, d_R) = 9 ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (K โ†” A), (R โ†” K), (B โ†” A) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฐ”์ฟ  ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋ฐ”์ฟ ์—์„œ ์•„์‹œ๊ฐ€๋ฐ”ํŠธ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ์•„์‹œ๊ฐ€๋ฐ”ํŠธ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์•„์‹œ๊ฐ€๋ฐ”ํŠธ์—์„œ ์นด๋ถˆ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ์นด๋ถˆ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์นด๋ถˆ์—์„œ ๋ผ์™ˆํ•€๋””๋กœ ๋น„ํ–‰. 8-9์ผ์ฐจ: 2์ผ๊ฐ„ ๋ผ์™ˆํ•€๋”” ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 15์ผ ๋™์•ˆ ์•„์‹œ์•„ 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ๋ฆฌ์•ผ๋“œ์—์„œ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ๊ณผ 10์ผ ์‚ฌ์ด์— ๋ฆฌ์•ผ๋“œ์—์„œ ๋น„์ฆˆ๋‹ˆ์Šค ๋ฏธํŒ…์ด ์žˆ์Šต๋‹ˆ๋‹ค. 5์ผ์„ ๋„ํ•˜์—์„œ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ๋ฌด์Šค์นดํŠธ์—์„œ ๋จธ๋ฌด๋ฅด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ ์•„๋ด์— ์žˆ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋งˆ์Šค์นดํŠธ์™€ ์•„๋ด, ๋ฆฌ์•ผ๋“œ์™€ ๋„ํ•˜, ๋ฆฌ์•ผ๋“œ์™€ ์•„๋ด, ์•„๋ด๊ณผ ๋„ํ•˜. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 15์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋„ํ•˜ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋„ํ•˜์—์„œ ๋ฆฌ์•ผ๋“œ๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ: 6์ผ๊ฐ„ ๋ฆฌ์•ผ๋“œ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ฆฌ์•ผ๋“œ์—์„œ ์•„๋ด์œผ๋กœ ๋น„ํ–‰. 10-12์ผ์ฐจ: 3์ผ๊ฐ„ ์•„๋ด ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ์•„๋ด์—์„œ ๋ฌด์Šค์นดํŠธ๋กœ ๋น„ํ–‰. 12-15์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฌด์Šค์นดํŠธ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in Asia for a total of 15 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll be in Riyadh for 6 days. You have a business meeting in Riyadh between the 5th and 10th. You want to spend 5 days in Doha. You want to stay in Muscat for 4 days. You want to be in Aden for 3 days. Here are the cities that have direct flights: Muscat and Aden, Riyadh and Doha, Riyadh and Aden, Aden and Doha. Plan a trip to visit the four cities in 15 days using direct flights.
Days 1-5: Visit Doha for 5 days. Day 5: Fly from Doha to Riyadh. Days 5-10: Visit Riyadh for 6 days. Day 10: Fly from Riyadh to Aden. Days 10-12: Visit Aden for 3 days. Day 12: Fly from Aden to Muscat. Days 12-15: Visit Muscat for 4 days.
๋ณ€์ˆ˜ ์ •์˜: R: ๋ฆฌ์•ผ๋“œ, D: ๋„ํ•˜, M: ๋ฌด์Šค์นดํŠธ, A: ์•„๋ด a_R: ๋ฆฌ์•ผ๋“œ ๋„์ฐฉ์ผ, d_R: ๋ฆฌ์•ผ๋“œ ์ถœ๋ฐœ์ผ a_D: ๋„ํ•˜ ๋„์ฐฉ์ผ, d_D: ๋„ํ•˜ ์ถœ๋ฐœ์ผ a_M: ๋ฌด์Šค์นดํŠธ ๋„์ฐฉ์ผ, d_M: ๋ฌด์Šค์นดํŠธ ์ถœ๋ฐœ์ผ a_A: ์•„๋ด ๋„์ฐฉ์ผ, d_A: ์•„๋ด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_R - a_R + 1 = 6 d_D - a_D + 1 = 5 d_M - a_M + 1 = 4 d_A - a_A + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_R, d_D, d_M, d_A) - min(a_R, a_D, a_M, a_A) + 1 = 15 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [5, 10] โˆฉ [a_R, d_R] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (M โ†” A), (R โ†” D), (R โ†” A), (A โ†” D) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋„ํ•˜ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋„ํ•˜์—์„œ ๋ฆฌ์•ผ๋“œ๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ: 6์ผ๊ฐ„ ๋ฆฌ์•ผ๋“œ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ฆฌ์•ผ๋“œ์—์„œ ์•„๋ด์œผ๋กœ ๋น„ํ–‰. 10-12์ผ์ฐจ: 3์ผ๊ฐ„ ์•„๋ด ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ์•„๋ด์—์„œ ๋ฌด์Šค์นดํŠธ๋กœ ๋น„ํ–‰. 12-15์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฌด์Šค์นดํŠธ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 13์ผ ๋™์•ˆ ์•„์‹œ์•„ 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ์นดํŠธ๋งŒ๋‘๋ฅผ ๋ฐฉ๋ฌธํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ํŒ€๋ถ€์—์„œ ๋จธ๋ฌผ๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์ฝ•์Šค๋ฐ”์ž๋ฅด์—์„œ๋Š” 3์ผ์„ ๋ณด๋‚ด๋ ค ํ•ฉ๋‹ˆ๋‹ค. ๋น„์—”ํ‹ฐ์•ˆ์—์„œ 4์ผ๊ฐ„ ํœด์‹์„ ์ทจํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ๋น„์—”ํ‹ฐ์•ˆ์— ์žˆ๋Š” ๋ฆฌ์กฐํŠธ๋ฅผ 10-13์ผ์ฐจ์— ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์นดํŠธ๋งŒ๋‘์™€ ํŒ€๋ถ€, ์ฝ•์Šค๋ฐ”์ž๋ฅด์™€ ๋น„์—”ํ‹ฐ์•ˆ, ํŒ€๋ถ€์™€ ์ฝ•์Šค๋ฐ”์ž๋ฅด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 13์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์นดํŠธ๋งŒ๋‘ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์นดํŠธ๋งŒ๋‘์—์„œ ํŒ€๋ถ€๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ํŒ€๋ถ€ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํŒ€๋ถ€์—์„œ ์ฝ•์Šค๋ฐ”์ž๋ฅด๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ์ฝ•์Šค๋ฐ”์ž๋ฅด ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์ฝ•์Šค๋ฐ”์ž๋ฅด์—์„œ ๋น„์—”ํ‹ฐ์•ˆ์œผ๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ๋น„์—”ํ‹ฐ์•ˆ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in Asia for a total of 13 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You plan to visit Kathmandu for 4 days. You plan to spend 5 days in Thimphu. You'll spend 3 days in Cox's Bazar. You want to relax in Vientiane for 4 days. You have a resort in Vientiane booked for days 10-13. Here are the cities that have direct flights: Kathmandu and Thimphu, Cox's Bazar and Vientiane, Thimphu and Cox's Bazar. Plan your trip to visit four cities in 13 days with direct flights.
Days 1-4: Visit Kathmandu for 4 days. Day 4: Fly from Kathmandu to Thimphu. Days 4-8: Visit Thimphu for 5 days. Day 8: Fly from Thimphu to Cox's Bazar. Days 8-10: Visit Cox's Bazar for 3 days. Day 10: Fly from Cox's Bazar to Vientiane. Days 10-13: Visit Vientiane for 4 days.
๋ณ€์ˆ˜ ์ •์˜: K: ์นดํŠธ๋งŒ๋‘, T: ํŒ€๋ถ€, C: ์ฝ•์Šค๋ฐ”์ž๋ฅด, V: ๋น„์—”ํ‹ฐ์•ˆ a_K: ์นดํŠธ๋งŒ๋‘ ๋„์ฐฉ์ผ, d_K: ์นดํŠธ๋งŒ๋‘ ์ถœ๋ฐœ์ผ a_T: ํŒ€๋ถ€ ๋„์ฐฉ์ผ, d_T: ํŒ€๋ถ€ ์ถœ๋ฐœ์ผ a_C: ์ฝ•์Šค๋ฐ”์ž๋ฅด ๋„์ฐฉ์ผ, d_C: ์ฝ•์Šค๋ฐ”์ž๋ฅด ์ถœ๋ฐœ์ผ a_V: ๋น„์—”ํ‹ฐ์•ˆ ๋„์ฐฉ์ผ, d_V: ๋น„์—”ํ‹ฐ์•ˆ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_K - a_K + 1 = 4 d_T - a_T + 1 = 5 d_C - a_C + 1 = 3 d_V - a_V + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_K, d_T, d_C, d_V) - min(a_K, a_T, a_C, a_V) + 1 = 13 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [10, 13] โІ [a_V, d_V] ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (K โ†” T), (C โ†” V), (T โ†” C) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์นดํŠธ๋งŒ๋‘ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์นดํŠธ๋งŒ๋‘์—์„œ ํŒ€๋ถ€๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ํŒ€๋ถ€ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํŒ€๋ถ€์—์„œ ์ฝ•์Šค๋ฐ”์ž๋ฅด๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ์ฝ•์Šค๋ฐ”์ž๋ฅด ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์ฝ•์Šค๋ฐ”์ž๋ฅด์—์„œ ๋น„์—”ํ‹ฐ์•ˆ์œผ๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ๋น„์—”ํ‹ฐ์•ˆ ๋ฐฉ๋ฌธ.
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4
์ง์ ‘ ์ƒ์„ฑ
์ด 16์ผ ๋™์•ˆ ์•„์‹œ์•„ 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์ œ๋‹ค์—์„œ 3์ผ์„ ๋ณด๋‚ด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. 5์ผ ๋™์•ˆ ์ถฉ์นญ์—์„œ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ๊ณผ 7์ผ ์‚ฌ์ด์—๋Š” ์ถฉ์นญ์— ์žˆ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์šธ๋ž€๋ฐ”ํ† ๋ฅด์—์„œ 4์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ์„œ์šธ์—์„œ ์—ฌํ–‰์„ ํ•˜๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์šธ๋ž€๋ฐ”ํ† ๋ฅด์™€ ์ œ๋‹ค, ์šธ๋ž€๋ฐ”ํ† ๋ฅด์™€ ์ถฉ์นญ, ์ œ๋‹ค์™€ ์ถฉ์นญ, ์„œ์šธ๊ณผ ์šธ๋ž€๋ฐ”ํ† ๋ฅด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 16์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์ œ๋‹ค ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์ œ๋‹ค์—์„œ ์ถฉ์นญ์œผ๋กœ ๋น„ํ–‰. 3-7์ผ์ฐจ: 5์ผ๊ฐ„ ์ถฉ์นญ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์ถฉ์นญ์—์„œ ์šธ๋ž€๋ฐ”ํ† ๋ฅด๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ์šธ๋ž€๋ฐ”ํ† ๋ฅด ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์šธ๋ž€๋ฐ”ํ† ๋ฅด์—์„œ ์„œ์šธ๋กœ ๋น„ํ–‰. 10-16์ผ์ฐจ: 7์ผ๊ฐ„ ์„œ์šธ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in Asia for a total of 16 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 3 days in Jeddah. You'll be in Chongqing for 5 days. You'd like to be in Chongqing between days 3 and 7. You're going to spend 4 days in Ulaanbaatar. You want to spend 7 days in Seoul. Here are the cities that have direct flights: Ulaanbaatar and Jeddah, Ulaanbaatar and Chongqing, Jeddah and Chongqing, Seoul and Ulaanbaatar. Plan a trip to visit four cities in 16 days using direct flights.
Days 1-3: Visit Jeddah for 3 days. Day 3: Fly from Jeddah to Chongqing. Days 3-7: Visit Chongqing for 5 days. Day 7: Fly from Chongqing to Ulaanbaatar. Days 7-10: Visit Ulaanbaatar for 4 days. Day 10: Fly from Ulaanbaatar to Seoul. Days 10-16: Visit Seoul for 7 days.
๋ณ€์ˆ˜ ์ •์˜: J: ์ œ๋‹ค, C: ์ถฉ์นญ, U: ์šธ๋ž€๋ฐ”ํ† ๋ฅด, S: ์„œ์šธ a_J: ์ œ๋‹ค ๋„์ฐฉ์ผ, d_J: ์ œ๋‹ค ์ถœ๋ฐœ์ผ a_C: ์ถฉ์นญ ๋„์ฐฉ์ผ, d_C: ์ถฉ์นญ ์ถœ๋ฐœ์ผ a_U: ์šธ๋ž€๋ฐ”ํ† ๋ฅด ๋„์ฐฉ์ผ, d_U: ์šธ๋ž€๋ฐ”ํ† ๋ฅด ์ถœ๋ฐœ์ผ a_S: ์„œ์šธ ๋„์ฐฉ์ผ, d_S: ์„œ์šธ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_J - a_J + 1 = 3 d_C - a_C + 1 = 5 d_U - a_U + 1 = 4 d_S - a_S + 1 = 7 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_J, d_C, d_U, d_S) - min(a_J, a_C, a_U, a_S) + 1 = 16 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [3, 7] โˆฉ [a_C, d_C] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (U โ†” J), (U โ†” C), (J โ†” C), (S โ†” U) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์ œ๋‹ค ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์ œ๋‹ค์—์„œ ์ถฉ์นญ์œผ๋กœ ๋น„ํ–‰. 3-7์ผ์ฐจ: 5์ผ๊ฐ„ ์ถฉ์นญ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์ถฉ์นญ์—์„œ ์šธ๋ž€๋ฐ”ํ† ๋ฅด๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ์šธ๋ž€๋ฐ”ํ† ๋ฅด ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์šธ๋ž€๋ฐ”ํ† ๋ฅด์—์„œ ์„œ์šธ๋กœ ๋น„ํ–‰. 10-16์ผ์ฐจ: 7์ผ๊ฐ„ ์„œ์šธ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 17์ผ ๋™์•ˆ ์•„์‹œ์•„ 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์‚ฌ๋งˆ๋ฅด์นธํŠธ์™€ ์•Œ๋งˆํ‹ฐ๋ฅผ ๊ฐ๊ฐ 4์ผ๊ฐ„ ๋ฐฉ๋ฌธํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ํƒˆ๋ผ์Šค์™€ ๋‘์ƒจ๋ฒ ๋ฅผ ๊ฐ๊ฐ 3์ผ ๋™์•ˆ ๋ฐฉ๋ฌธํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ํ•˜์–ผ๋นˆ์—์„œ 7์ผ์„ ๋จธ๋ฌด๋ฅผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ํ•˜์–ผ๋นˆ์ด ์ฒซ๋ฒˆ์งธ ์—ฌ์ •์ง€์—ฌ์•ผ ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์‚ฌ๋งˆ๋ฅด์นธํŠธ์™€ ์•Œ๋งˆํ‹ฐ, ํƒˆ๋ผ์Šค์™€ ์‚ฌ๋งˆ๋ฅด์นธํŠธ, ๋‘์ƒจ๋ฒ ์™€ ํƒˆ๋ผ์Šค, ํ•˜์–ผ๋นˆ๊ณผ ๋‘์ƒจ๋ฒ . ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 17์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ: 7์ผ๊ฐ„ ํ•˜์–ผ๋นˆ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ํ•˜์–ผ๋นˆ์—์„œ ๋‘์ƒจ๋ฒ ๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ๋‘์ƒจ๋ฒ  ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋‘์ƒจ๋ฒ ์—์„œ ํƒˆ๋ผ์Šค๋กœ ๋น„ํ–‰. 9-11์ผ์ฐจ: 3์ผ๊ฐ„ ํƒˆ๋ผ์Šค ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ํƒˆ๋ผ์Šค์—์„œ ์‚ฌ๋งˆ๋ฅด์นธํŠธ ๋น„ํ–‰. 11-14์ผ์ฐจ: 4์ผ๊ฐ„ ์‚ฌ๋งˆ๋ฅด์นธํŠธ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ์‚ฌ๋งˆ๋ฅด์นธํŠธ์—์„œ ์•Œ๋งˆํ‹ฐ๋กœ ๋น„ํ–‰. 14-17์ผ์ฐจ: 4์ผ๊ฐ„ ์•Œ๋งˆํ‹ฐ ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in Asia for a total of 17 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to visit Samarkand and Almaty for 4 days each. You want to visit Tallinn and Dushanbe for 3 days each. You'll spend 7 days in Harbin. Harbin should be your first stop on your itinerary. Here are the cities that have direct flights: Samarkand and Almaty, Tallas and Samarkand, Dushanbe and Tallas, Harbin and Dushanbe. Plan a trip to visit five cities in 17 days using direct flights.
Days 1-7: Visit Harbin for 7 days. Day 7: Fly from Harbin to Dushanbe. Days 7-9: Visit Dushanbe for 3 days. Day 9: Fly from Dushanbe to Tallas. Days 9-11: Visit Tallas for 3 days. Day 11: Fly from Tallas to Samarkand. Days 11-14: Visit Samarkand for 4 days. Day 14: Fly from Samarkand to Almaty. Days 14-17: Visit Almaty for 4 days.
๋ณ€์ˆ˜ ์ •์˜: S: ์‚ฌ๋งˆ๋ฅด์นธํŠธ, A: ์•Œ๋งˆํ‹ฐ, T: ํƒˆ๋ผ์Šค, D: ๋‘์ƒจ๋ฒ , H: ํ•˜์–ผ๋นˆ a_S: ์‚ฌ๋งˆ๋ฅด์นธํŠธ ๋„์ฐฉ์ผ, d_S: ์‚ฌ๋งˆ๋ฅด์นธํŠธ ์ถœ๋ฐœ์ผ a_A: ์•Œ๋งˆํ‹ฐ ๋„์ฐฉ์ผ, d_A: ์•Œ๋งˆํ‹ฐ ์ถœ๋ฐœ์ผ a_T: ํƒˆ๋ผ์Šค ๋„์ฐฉ์ผ, d_T: ํƒˆ๋ผ์Šค ์ถœ๋ฐœ์ผ a_D: ๋‘์ƒจ๋ฒ  ๋„์ฐฉ์ผ, d_D: ๋‘์ƒจ๋ฒ  ์ถœ๋ฐœ์ผ a_H: ํ•˜์–ผ๋นˆ ๋„์ฐฉ์ผ, d_H: ํ•˜์–ผ๋นˆ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_S - a_S + 1 = 4 d_A - a_A + 1 = 4 d_T - a_T + 1 = 3 d_D - a_D + 1 = 3 d_H - a_H + 1 = 7 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_S, d_A, d_T, d_D, d_H) - min(a_S, a_A, a_T, a_D, a_H) + 1 = 17 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_H = 1 ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (S โ†” A), (T โ†” S), (D โ†” T), (H โ†” D) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ: 7์ผ๊ฐ„ ํ•˜์–ผ๋นˆ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ํ•˜์–ผ๋นˆ์—์„œ ๋‘์ƒจ๋ฒ ๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ๋‘์ƒจ๋ฒ  ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋‘์ƒจ๋ฒ ์—์„œ ํƒˆ๋ผ์Šค๋กœ ๋น„ํ–‰. 9-11์ผ์ฐจ: 3์ผ๊ฐ„ ํƒˆ๋ผ์Šค ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ํƒˆ๋ผ์Šค์—์„œ ์‚ฌ๋งˆ๋ฅด์นธํŠธ ๋น„ํ–‰. 11-14์ผ์ฐจ: 4์ผ๊ฐ„ ์‚ฌ๋งˆ๋ฅด์นธํŠธ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ์‚ฌ๋งˆ๋ฅด์นธํŠธ์—์„œ ์•Œ๋งˆํ‹ฐ๋กœ ๋น„ํ–‰. 14-17์ผ์ฐจ: 4์ผ๊ฐ„ ์•Œ๋งˆํ‹ฐ ๋ฐฉ๋ฌธ.
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์ด 21์ผ ๋™์•ˆ ์•„์‹œ์•„ 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ฐ•ํƒ€ํ‘ธ๋ฅด๋ฅผ 3์ผ ๋™์•ˆ ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์Šค๋ฆฌ์ž์•ผ์™€๋ฅด๋ฐ๋„คํ‘ธ๋ผ์ฝ”ํ…Œ์—์„œ 4์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ์‹œ์—๋ˆ„์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์‹œ์—๋ˆ„์—์„œ ํ˜ธํ•‘ํˆฌ์–ด๋ฅผ 16์ผ๊ณผ 20์ผ ์‚ฌ์ด์— ์ฆ๊ธฐ๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ๋‰ด๋ธ๋ฆฌ์—์„œ 5์ผ์„ ๋จธ๋ฌผ ๊ฒƒ์ž…์ž…๋‹ˆ๋‹ค. 8์ผ๊ณผ 11์ผ ์‚ฌ์ด์— ๋‰ด๋ธ๋ฆฌ ์—ฌํ–‰์„ ์œ„ํ•œ ๊ฐ€์ด๋“œ๋ฅผ ์„ญ์™ธํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ๋‘๋ฐ”์ด๋ฅผ 6์ผ ๋™์•ˆ ๋ฐฉ๋ฌธํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์Šค๋ฆฌ์ž์•ผ์™€๋ฅด๋ฐ๋„คํ‘ธ๋ผ์ฝ”ํ…Œ์™€ ์‹œ์—๋ˆ„, ์Šค๋ฆฌ์ž์•ผ์™€๋ฅด๋ฐ๋„คํ‘ธ๋ผ์ฝ”ํ…Œ์™€ ๋‰ด๋ธ๋ฆฌ, ๋ฐ•ํƒ€ํ‘ธ๋ฅด์™€ ๋‰ด๋ธ๋ฆฌ, ๋ฐ•ํƒ€ํ‘ธ๋ฅด์™€ ์‹œ์—๋ˆ„, ๋ฐ•ํƒ€ํ‘ธ๋ฅด์™€ ๋‘๋ฐ”์ด, ๋‘๋ฐ”์ด์™€ ์Šค๋ฆฌ์ž์•ผ์™€๋ฅด๋ฐ๋„คํ‘ธ๋ผ์ฝ”ํ…Œ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 21์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ๋‘๋ฐ”์ด ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋‘๋ฐ”์ด์—์„œ ๋ฐ•ํƒ€ํ‘ธ๋ฅด๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฐ•ํƒ€ํ‘ธ๋ฅด ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ฐ•ํƒ€ํ‘ธ๋ฅด์—์„œ ๋‰ด๋ธ๋ฆฌ๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ๋‰ด๋ธ๋ฆฌ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋‰ด๋ธ๋ฆฌ์—์„œ ์Šค๋ฆฌ์ž์•ผ์™€๋ฅด๋ฐ๋„คํ‘ธ๋ผ์ฝ”ํ…Œ๋กœ ๋น„ํ–‰. 12-15์ผ์ฐจ: 4์ผ๊ฐ„ ์Šค๋ฆฌ์ž์•ผ์™€๋ฅด๋ฐ๋„คํ‘ธ๋ผ์ฝ”ํ…Œ ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ์Šค๋ฆฌ์ž์•ผ์™€๋ฅด๋ฐ๋„คํ‘ธ๋ผ์ฝ”ํ…Œ์—์„œ ์‹œ์—๋ˆ„๋กœ ๋น„ํ–‰. 15-21์ผ์ฐจ: 7์ผ๊ฐ„ ์‹œ์—๋ˆ„ ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in Asia for a total of 21 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to visit Bhaktapur for 3 days. You'll spend 4 days in Sri Jayawardenepura Kotte. You'll be in Addu city for 7 days. You'll do a hopping tour in Addu city between the 16th and 20th. You'll spend 5 days in New Delhi. You've booked a guide for a tour of New Delhi between the 8th and 11th. You'll be visiting Dubai for 6 days. Here are the cities that have direct flights: Sri Jayawardenepura Kotte and Addu city, Sri Jayawardenepura Kotte and New Delhi, Bhaktapur and New Delhi, Bhaktapur and Addu city, Bhaktapur and Dubai, Dubai and Sri Jayawardenepura Kotte. Plan a trip to visit five cities in 21 days with direct flights.
Days 1-6: Visit Dubai for 6 days. Day 6: Fly from Dubai to Bhaktapur. Days 6-8: Visit Bhaktapur for 3 days. Day 8: Fly from Bhaktapur to New Delhi. Days 8-12: Visit New Delhi for 5 days. Day 12: Fly from New Delhi to Sri Jayawardenepura Kotte. Days 12-15: Visit Sri Jayawardenepura for 4 days. Day 15: Fly from Sri Jayawardenepura Kotte to Addu city. Days 15-21: Visit Addu city for 7 days.
๋ณ€์ˆ˜ ์ •์˜: B: ๋ฐ•ํƒ€ํ‘ธ๋ฅด, S: ์Šค๋ฆฌ์ž์•ผ์™€๋ฅด๋ฐ๋„คํ‘ธ๋ผ์ฝ”ํ…Œ, X: ์‹œ์—๋ˆ„, N: ๋‰ด๋ธ๋ฆฌ, D: ๋‘๋ฐ”์ด a_B: ๋ฐ•ํƒ€ํ‘ธ๋ฅด ๋„์ฐฉ์ผ, d_B: ๋ฐ•ํƒ€ํ‘ธ๋ฅด ์ถœ๋ฐœ์ผ a_S: ์Šค๋ฆฌ์ž์•ผ์™€๋ฅด๋ฐ๋„คํ‘ธ๋ผ์ฝ”ํ…Œ ๋„์ฐฉ์ผ, d_S: ์Šค๋ฆฌ์ž์•ผ์™€๋ฅด๋ฐ๋„คํ‘ธ๋ผ์ฝ”ํ…Œ ์ถœ๋ฐœ์ผ a_X: ์‹œ์—๋ˆ„ ๋„์ฐฉ์ผ, d_X: ์‹œ์—๋ˆ„ ์ถœ๋ฐœ์ผ a_N: ๋‰ด๋ธ๋ฆฌ ๋„์ฐฉ์ผ, d_N: ๋‰ด๋ธ๋ฆฌ ์ถœ๋ฐœ์ผ a_D: ๋‘๋ฐ”์ด ๋„์ฐฉ์ผ, d_D: ๋‘๋ฐ”์ด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_B - a_B + 1 = 3 d_S - a_S + 1 = 4 d_X - a_X + 1 = 7 d_N - a_N + 1 = 5 d_D - a_D + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_B, d_S, d_X, d_N, d_D) - min(a_B, a_S, a_X, a_N, a_D) + 1 = 21 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [16, 20] โˆฉ [a_X, d_X] โ‰  โˆ… [8, 11] โˆฉ [a_N, d_N] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (S โ†” X), (S โ†” N), (B โ†” N), (B โ†” X), (B โ†” D), (D โ†” S) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ๋‘๋ฐ”์ด ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋‘๋ฐ”์ด์—์„œ ๋ฐ•ํƒ€ํ‘ธ๋ฅด๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฐ•ํƒ€ํ‘ธ๋ฅด ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ฐ•ํƒ€ํ‘ธ๋ฅด์—์„œ ๋‰ด๋ธ๋ฆฌ๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ๋‰ด๋ธ๋ฆฌ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋‰ด๋ธ๋ฆฌ์—์„œ ์Šค๋ฆฌ์ž์•ผ์™€๋ฅด๋ฐ๋„คํ‘ธ๋ผ์ฝ”ํ…Œ๋กœ ๋น„ํ–‰. 12-15์ผ์ฐจ: 4์ผ๊ฐ„ ์Šค๋ฆฌ์ž์•ผ์™€๋ฅด๋ฐ๋„คํ‘ธ๋ผ์ฝ”ํ…Œ ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ์Šค๋ฆฌ์ž์•ผ์™€๋ฅด๋ฐ๋„คํ‘ธ๋ผ์ฝ”ํ…Œ์—์„œ ์‹œ์—๋ˆ„๋กœ ๋น„ํ–‰. 15-21์ผ์ฐจ: 7์ผ๊ฐ„ ์‹œ์—๋ˆ„ ๋ฐฉ๋ฌธ.
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์ด 19์ผ ๋™์•ˆ ์•„์‹œ์•„ 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ๋‹ค๋‚ญ์—์„œ ํœด์–‘์„ ์ฆ๊ธธ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 12์ผ๊ณผ 14์ผ ์‚ฌ์ด์— ๋‹ค๋‚ญ์—์„œ ๋จธ๋ฌด๋ฅผ 5์„ฑ๊ธ‰ ํ˜ธํ…”์„ ์˜ˆ์•ฝํ•˜์˜€์Šต๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ๋ฐœ๋ฆฌ์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ๊ณผ 7์ผ ์‚ฌ์ด์— ๋ฐœ๋ฆฌ์—์„œ ํ•™ํšŒ๊ฐ€ ์žˆ์Šต๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ๋ฐฉ์ฝ•์„ ๋ฐฉ๋ฌธํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๋งˆ๋‹๋ผ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์‹ฑ๊ฐ€ํฌ๋ฅด์—์„œ 5์ผ์„ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋‹ค๋‚ญ๊ณผ ๋งˆ๋‹๋ผ, ๋ฐฉ์ฝ•๊ณผ ๋‹ค๋‚ญ, ๋ฐฉ์ฝ•๊ณผ ๋ฐœ๋ฆฌ, ๋ฐœ๋ฆฌ์™€ ์‹ฑ๊ฐ€ํฌ๋ฅด, ๋งˆ๋‹๋ผ์™€ ์‹ฑ๊ฐ€ํฌ๋ฅด, ๋งˆ๋‹๋ผ์™€ ๋ฐœ๋ฆฌ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 19์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ์‹ฑ๊ฐ€ํฌ๋ฅด ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์‹ฑ๊ฐ€ํฌ๋ฅด์—์„œ ๋ฐœ๋ฆฌ๋กœ ๋น„ํ–‰. 5-9์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฐœ๋ฆฌ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋ฐœ๋ฆฌ์—์„œ ๋งˆ๋‹๋ผ๋กœ ๋น„ํ–‰. 9-12์ผ์ฐจ: 4์ผ๊ฐ„ ๋งˆ๋‹๋ผ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋งˆ๋‹๋ผ์—์„œ ๋‹ค๋‚ญ์œผ๋กœ ๋น„ํ–‰. 12-14์ผ์ฐจ: 3์ผ๊ฐ„ ๋‹ค๋‚ญ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ๋‹ค๋‚ญ์—์„œ ๋ฐฉ์ฝ•์œผ๋กœ ๋น„ํ–‰. 14-19์ผ์ฐจ: 6์ผ๊ฐ„ ๋ฐฉ์ฝ• ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in Asia for a total of 19 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will be in Danang for 3 days for a vacation. You have booked a 5-star hotel to stay in Danang between the 12th and 14th. You will be in Bali for 5 days. You have a conference in Bali between the 5th and 7th. You will be in Bangkok for 6 days. You will be visiting Manila for 4 days. You will be spending 5 days in Singapore. Here are the cities that have direct flights: Danang and Manila, Bangkok and Danang, Bangkok and Bali, Bali and Singapore, Manila and Singapore, Manila and Bali. Plan a trip to visit five cities in 19 days using direct flights.
Days 1-5: Visit Singapore for 5 days. Day 5: Fly from Singapore to Bali. Days 5-9: Visit Bali for 5 days. Day 9: Fly from Bali to Manila. Days 9-12: Visit Manila for 4 days. Day 12: Fly from Manila to Danang. Days 12-14: Visit Danang for 3 days. Day 14: Fly from Danang to Bangkok. Days 14-19: Visit Bangkok for 6 days.
๋ณ€์ˆ˜ ์ •์˜: D: ๋‹ค๋‚ญ, B: ๋ฐœ๋ฆฌ, T: ๋ฐฉ์ฝ•, M: ๋งˆ๋‹๋ผ, S: ์‹ฑ๊ฐ€ํฌ๋ฅด a_D: ๋‹ค๋‚ญ ๋„์ฐฉ์ผ, d_D: ๋‹ค๋‚ญ ์ถœ๋ฐœ์ผ a_B: ๋ฐœ๋ฆฌ ๋„์ฐฉ์ผ, d_B: ๋ฐœ๋ฆฌ ์ถœ๋ฐœ์ผ a_T: ๋ฐฉ์ฝ• ๋„์ฐฉ์ผ, d_T: ๋ฐฉ์ฝ• ์ถœ๋ฐœ์ผ a_M: ๋งˆ๋‹๋ผ ๋„์ฐฉ์ผ, d_M: ๋งˆ๋‹๋ผ ์ถœ๋ฐœ์ผ a_S: ์‹ฑ๊ฐ€ํฌ๋ฅด ๋„์ฐฉ์ผ, d_S: ์‹ฑ๊ฐ€ํฌ๋ฅด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_D - a_D + 1 = 3 d_B - a_B + 1 = 5 d_T - a_T + 1 = 6 d_M - a_M + 1 = 4 d_S - a_S + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_D, d_B, d_T, d_M, d_S) - min(a_D, a_B, a_T, a_M, a_S) + 1 = 19 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [12, 14] โˆฉ [a_D, d_D] โ‰  โˆ… [5, 7] โˆฉ [a_B, d_B] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (D โ†” M), (T โ†” D), (T โ†” B), (B โ†” S), (M โ†” S), (M โ†” B) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ์‹ฑ๊ฐ€ํฌ๋ฅด ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์‹ฑ๊ฐ€ํฌ๋ฅด์—์„œ ๋ฐœ๋ฆฌ๋กœ ๋น„ํ–‰. 5-9์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฐœ๋ฆฌ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋ฐœ๋ฆฌ์—์„œ ๋งˆ๋‹๋ผ๋กœ ๋น„ํ–‰. 9-12์ผ์ฐจ: 4์ผ๊ฐ„ ๋งˆ๋‹๋ผ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋งˆ๋‹๋ผ์—์„œ ๋‹ค๋‚ญ์œผ๋กœ ๋น„ํ–‰. 12-14์ผ์ฐจ: 3์ผ๊ฐ„ ๋‹ค๋‚ญ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ๋‹ค๋‚ญ์—์„œ ๋ฐฉ์ฝ•์œผ๋กœ ๋น„ํ–‰. 14-19์ผ์ฐจ: 6์ผ๊ฐ„ ๋ฐฉ์ฝ• ๋ฐฉ๋ฌธ.
112
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5
์ง์ ‘ ์ƒ์„ฑ
์ด 13์ผ ๋™์•ˆ ์•„์‹œ์•„ 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ํ‰์–‘์—์„œ 3์ผ์„ ๋ณด๋‚ด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. 4์ผ๊ณผ 6์ผ ์‚ฌ์ด์—๋Š” ํ‰์–‘์—์„œ ํŒจํ‚ค์ง€ ํˆฌ์–ด๋ฅผ ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์ธ์ฒœ์—์„œ 4์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ํŠธ๋ผ์‹œ๊ฐ•์—์„œ 3์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 11์ผ๊ณผ 12์ผ์ฐจ์— ํŠธ๋ผ์‹œ๊ฐ•์—์„œ ์ง‘์ง“๊ธฐ ๋ด‰์‚ฌ๋ฅผ ํ•˜๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. ๋‹ค๋ž€์—์„œ 2์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ ๋™์•ˆ ์‚ฌ์ฒœ์„ ๋ฐฉ๋ฌธํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํŠธ๋ผ์‹œ๊ฐ•๊ณผ ๋‹ค๋ž€, ์‚ฌ์ฒœ๊ณผ ํŠธ๋ผ์‹œ๊ฐ•, ํ‰์–‘๊ณผ ๋‹ค๋ž€, ํ‰์–‘๊ณผ ์ธ์ฒœ, ์ธ์ฒœ๊ณผ ํŠธ๋ผ์‹œ๊ฐ•, ์ธ์ฒœ๊ณผ ์‚ฌ์ฒœ, ์‚ฌ์ฒœ๊ณผ ํ‰์–‘. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 13์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์ธ์ฒœ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์ธ์ฒœ์—์„œ ํ‰์–‘์œผ๋กœ ๋น„ํ–‰. 4-6์ผ์ฐจ: 3์ผ๊ฐ„ ํ‰์–‘ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ํ‰์–‘์—์„œ ์‚ฌ์ฒœ์œผ๋กœ ๋น„ํ–‰. 6-10์ผ์ฐจ: 5์ผ๊ฐ„ ์‚ฌ์ฒœ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์‚ฌ์ฒœ์—์„œ ํŠธ๋ผ์‹œ๊ฐ•์œผ๋กœ ๋น„ํ–‰. 10-12์ผ์ฐจ: 3์ผ๊ฐ„ ํŠธ๋ผ์‹œ๊ฐ• ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ํŠธ๋ผ์‹œ๊ฐ•์—์„œ ๋‹ค๋ž€์œผ๋กœ ๋น„ํ–‰. 12-13์ผ์ฐจ: 2์ผ๊ฐ„ ๋‹ค๋ž€ ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in Asia for a total of 13 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 3 days in Pyongyang. Between days 4 and 6, You'll take a package tour in Pyongyang. You'll spend 4 days in Incheon. You're going to spend 3 days in Trashigang. On days 11 and 12 of your trip, you have planned to volunteer for a house-building project in Trashigang. You're going to spend 2 days in Dhahran. You're going to visit Sichuan for 5 days. Here are the cities that have direct flights: Trashigang and Dhahran, Sichuan and Trashigang, Pyongyang and Dhahran, Pyongyang and Incheon, Incheon and Trashigang, Incheon and Sichuan, Sichuan and Pyongyang. Plan a trip to visit five cities in 13 days with direct flights.
Days 1-4: Visit Incheon for 4 days. Day 4: Fly from Incheon to Pyongyang. Days 4-6: Visit Pyongyang for 3 days. Day 6: Fly from Pyongyang to Sichuan. Days 6-10: Visit Sichuan for 5 days. Day 10: Fly from Sichuan to Trashigang. Days 10-12: Visit Trashigang for 3 days. Day 12: Fly from Trashigang to Dhahran. Days 12-13: Visit Dhahran for 2 days.
๋ณ€์ˆ˜ ์ •์˜: P: ํ‰์–‘, I: ์ธ์ฒœ, T: ํŠธ๋ผ์‹œ๊ฐ•, D: ๋‹ค๋ž€, S: ์‚ฌ์ฒœ a_P: ํ‰์–‘ ๋„์ฐฉ์ผ, d_P: ํ‰์–‘ ์ถœ๋ฐœ์ผ a_I: ์ธ์ฒœ ๋„์ฐฉ์ผ, d_I: ์ธ์ฒœ ์ถœ๋ฐœ์ผ a_T: ํŠธ๋ผ์‹œ๊ฐ• ๋„์ฐฉ์ผ, d_T: ํŠธ๋ผ์‹œ๊ฐ• ์ถœ๋ฐœ์ผ a_D: ๋‹ค๋ž€ ๋„์ฐฉ์ผ, d_D: ๋‹ค๋ž€ ์ถœ๋ฐœ์ผ a_S: ์‚ฌ์ฒœ ๋„์ฐฉ์ผ, d_S: ์‚ฌ์ฒœ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_P - a_P + 1 = 3 d_I - a_I + 1 = 4 d_T - a_T + 1 = 3 d_D - a_D + 1 = 2 d_S - a_S + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_P, d_I, d_T, d_D, d_S) - min(a_P, a_I, a_T, a_D, a_S) + 1 = 13 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [4, 6] โˆฉ [a_P, d_P] โ‰  โˆ… {11, 12} โІ [a_T, d_T] ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (T โ†” D), (S โ†” T), (P โ†” D), (P โ†” I), (I โ†” T), (I โ†” S), (S โ†” P) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์ธ์ฒœ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์ธ์ฒœ์—์„œ ํ‰์–‘์œผ๋กœ ๋น„ํ–‰. 4-6์ผ์ฐจ: 3์ผ๊ฐ„ ํ‰์–‘ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ํ‰์–‘์—์„œ ์‚ฌ์ฒœ์œผ๋กœ ๋น„ํ–‰. 6-10์ผ์ฐจ: 5์ผ๊ฐ„ ์‚ฌ์ฒœ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์‚ฌ์ฒœ์—์„œ ํŠธ๋ผ์‹œ๊ฐ•์œผ๋กœ ๋น„ํ–‰. 10-12์ผ์ฐจ: 3์ผ๊ฐ„ ํŠธ๋ผ์‹œ๊ฐ• ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ํŠธ๋ผ์‹œ๊ฐ•์—์„œ ๋‹ค๋ž€์œผ๋กœ ๋น„ํ–‰. 12-13์ผ์ฐจ: 2์ผ๊ฐ„ ๋‹ค๋ž€ ๋ฐฉ๋ฌธ.
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์ด 21์ผ ๋™์•ˆ ์•„์‹œ์•„ 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ํ†ˆ์ง„์„ ๋ฐฉ๋ฌธํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 11์ผ๊ณผ 14์ผ ์‚ฌ์ด์— ํ†ˆ์ง„์—์„œ ๊ฐ€์กฑ ์—ฌํ–‰์„ ํ•˜๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. ๋Œ€์ „์—์„œ 3์ผ์„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 7์ผ๊ณผ 9์ผ ์‚ฌ์ด์— ๋Œ€์ „์—์„œ ์นœ๊ตฌ ๋”ธ ๋Œ์ž”์น˜์— ์ฐธ์„ํ•˜๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. ํ‰์–‘์—์„œ๋„ 3์ผ์„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ๋น„์—”ํ‹ฐ์•ˆ์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์—ฌํ–‰ 19์ผ์ฐจ์— ๋น„์—”ํ‹ฐ์•ˆ์—์„œ ์—ด๋ฆฌ๋Š” ์นœ๊ตฌ ์ƒ์ผ ํŒŒํ‹ฐ์— ์ฐธ์„ํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์–‘๊ณค์—์„œ 5์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ํ›„์ฟ ์˜ค์นด์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋น„์—”ํ‹ฐ์•ˆ๊ณผ ์–‘๊ณค, ๋น„์—”ํ‹ฐ์•ˆ๊ณผ ํ†ˆ์ง„, ๋น„์—”ํ‹ฐ์•ˆ๊ณผ ๋Œ€์ „, ๋Œ€์ „๊ณผ ํ›„์ฟ ์˜ค์นด, ํ‰์–‘๊ณผ ๋Œ€์ „, ํ†ˆ์ง„๊ณผ ํ‰์–‘, ์–‘๊ณค๊ณผ ํ†ˆ์ง„, ํ›„์ฟ ์˜ค์นด์™€ ํ‰์–‘, ํ›„์ฟ ์˜ค์นด์™€ ์–‘๊ณค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 21์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ: 7์ผ๊ฐ„ ํ›„์ฟ ์˜ค์นด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ํ›„์ฟ ์˜ค์นด์—์„œ ๋Œ€์ „์œผ๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ๋Œ€์ „ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋Œ€์ „์—์„œ ํ‰์–‘์œผ๋กœ ๋น„ํ–‰. 9-11์ผ์ฐจ: 3์ผ๊ฐ„ ํ‰์–‘ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ํ‰์–‘์—์„œ ํ†ˆ์ง„์œผ๋กœ ๋น„ํ–‰. 11-14์ผ์ฐจ: 4์ผ๊ฐ„ ํ†ˆ์ง„ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ํ†ˆ์ง„์—์„œ ์–‘๊ณค์œผ๋กœ ๋น„ํ–‰. 14-18์ผ์ฐจ: 5์ผ๊ฐ„ ์–‘๊ณค ๋ฐฉ๋ฌธ. 18์ผ์ฐจ: ์–‘๊ณค์—์„œ ๋น„์—”ํ‹ฐ์•ˆ์œผ๋กœ ๋น„ํ–‰. 18-21์ผ์ฐจ: 4์ผ๊ฐ„ ๋น„์—”ํ‹ฐ์•ˆ ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in Asia for a total of 21 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You're planning to visit Tianjin for 4 days. Between the 11th and 14th, you're traveling with your family in Tianjin. You'd like to spend 3 days in Daejeon. You're attending a friend's daughter's birthday party in Daejeon between the 7th and 9th. You'd like to spend 3 days in Pyongyang. You'll be in Vientiane for 4 days. You're attending a friend's birthday party in Vientiane on day 19 of your trip. You want to spend 5 days in Yangon. You will spend 7 days in Fukuoka. Here are the cities that have direct flights: Vientiane and Yangon, Vientiane and Tianjin, Vientiane and Daejeon, Daejeon and Fukuoka, Pyongyang and Daejeon, Tianjin and Pyongyang, Yangon and Tianjin, Fukuoka and Pyongyang, Fukuoka and Yangon. Plan your trip to visit six cities in 21 days with direct flights.
Days 1-7: Visit Fukuoka for 7 days. Day 7: Fly from Fukuoka to Daejeon. Days 7-9: Visit Daejeon for 3 days. Day 9: Fly from Daejeon to Pyongyang. Days 9-11: Visit Pyongyang for 3 days. Day 11: Fly from Pyongyang to Tianjin. Days 11-14: Visit Tianjin for 4 days. Day 14: Fly from Tianjin to Yangon. Days 14-18: Visit Yangon for 5 days. Day 18: Fly from Yangon to Vientiane. Days 18-21: Visit Vientiane for 4 days.
๋ณ€์ˆ˜ ์ •์˜: T: ํ†ˆ์ง„, D: ๋Œ€์ „, P: ํ‰์–‘, V: ๋น„์—”ํ‹ฐ์•ˆ, Y: ์–‘๊ณค, F: ํ›„์ฟ ์˜ค์นด a_T: ํ†ˆ์ง„ ๋„์ฐฉ์ผ, d_T: ํ†ˆ์ง„ ์ถœ๋ฐœ์ผ a_D: ๋Œ€์ „ ๋„์ฐฉ์ผ, d_D: ๋Œ€์ „ ์ถœ๋ฐœ์ผ a_P: ํ‰์–‘ ๋„์ฐฉ์ผ, d_P: ํ‰์–‘ ์ถœ๋ฐœ์ผ a_V: ๋น„์—”ํ‹ฐ์•ˆ ๋„์ฐฉ์ผ, d_V: ๋น„์—”ํ‹ฐ์•ˆ ์ถœ๋ฐœ์ผ a_Y: ์–‘๊ณค ๋„์ฐฉ์ผ, d_Y: ์–‘๊ณค ์ถœ๋ฐœ์ผ a_F: ํ›„์ฟ ์˜ค์นด ๋„์ฐฉ์ผ, d_F: ํ›„์ฟ ์˜ค์นด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_T - a_T + 1 = 4 d_D - a_D + 1 = 3 d_P - a_P + 1 = 3 d_V - a_V + 1 = 4 d_Y - a_Y + 1 = 5 d_F - a_F + 1 = 7 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_T, d_D, d_P, d_V, d_Y, d_F) - min(a_T, a_D, a_P, a_V, a_Y, a_F) + 1 = 21 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [11, 14] โˆฉ [a_T, d_T] โ‰  โˆ… [7, 9] โˆฉ [a_D, d_D] โ‰  โˆ… a_V โ‰ค 19 โ‰ค d_V ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (V โ†” Y), (V โ†” T), (V โ†” D), (D โ†” F), (P โ†” D), (T โ†” P), (Y โ†” T), (F โ†” P), (F โ†” Y) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ: 7์ผ๊ฐ„ ํ›„์ฟ ์˜ค์นด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ํ›„์ฟ ์˜ค์นด์—์„œ ๋Œ€์ „์œผ๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ๋Œ€์ „ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋Œ€์ „์—์„œ ํ‰์–‘์œผ๋กœ ๋น„ํ–‰. 9-11์ผ์ฐจ: 3์ผ๊ฐ„ ํ‰์–‘ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ํ‰์–‘์—์„œ ํ†ˆ์ง„์œผ๋กœ ๋น„ํ–‰. 11-14์ผ์ฐจ: 4์ผ๊ฐ„ ํ†ˆ์ง„ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ํ†ˆ์ง„์—์„œ ์–‘๊ณค์œผ๋กœ ๋น„ํ–‰. 14-18์ผ์ฐจ: 5์ผ๊ฐ„ ์–‘๊ณค ๋ฐฉ๋ฌธ. 18์ผ์ฐจ: ์–‘๊ณค์—์„œ ๋น„์—”ํ‹ฐ์•ˆ์œผ๋กœ ๋น„ํ–‰. 18-21์ผ์ฐจ: 4์ผ๊ฐ„ ๋น„์—”ํ‹ฐ์•ˆ ๋ฐฉ๋ฌธ.
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์ด 19์ผ ๋™์•ˆ ์•„์‹œ์•„ 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์ฟ ์•Œ๋ผ๋ฃธํ‘ธ๋ฅด์—์„œ 3์ผ์„ ๋จธ๋ฌด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ๋งˆ๋‹๋ผ์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์‹ฑ๊ฐ€ํฌ๋ฅด์—์„œ 6์ผ์„ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์—ฌํ–‰ 8์ผ์ฐจ๋ถ€ํ„ฐ ์‹ฑ๊ฐ€ํฌ๋ฅด์—์„œ ๋จธ๋ฌด๋ ค๊ณ  ํ˜ธํ…”์„ ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„์— 2์ผ ๋™์•ˆ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ์„ ๋”œ๋ฆฌ์—์„œ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 1์ผ๊ณผ 5์ผ ์‚ฌ์ด์— ๋”œ๋ฆฌ์—์„œ ํ•ด์™ธ ๋ด‰์‚ฌ๋ฅผ ํ•˜๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. ์ž์นด๋ฅดํƒ€์—์„œ 4์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๋จธ๋ฌด๋Š” ์ผ์ž๊ฐ€ ๊ฐ€์žฅ ์ ์€ ๋„์‹œ๋ฅผ 5๋ฒˆ์งธ ์—ฌ์ •์ง€๋กœ ์‚ผ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„๊ณผ ์ฟ ์•Œ๋ผ๋ฃธํ‘ธ๋ฅด, ๋งˆ๋‹๋ผ์™€ ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„, ์ž์นด๋ฅดํƒ€์™€ ๋”œ๋ฆฌ, ์ž์นด๋ฅดํƒ€์™€ ๋งˆ๋‹๋ผ, ์ž์นด๋ฅดํƒ€์™€ ์‹ฑ๊ฐ€ํฌ๋ฅด, ๋”œ๋ฆฌ์™€ ์‹ฑ๊ฐ€ํฌ๋ฅด, ๋”œ๋ฆฌ์™€ ์ฟ ์•Œ๋ผ๋ฃธํ‘ธ๋ฅด, ์‹ฑ๊ฐ€ํฌ๋ฅด์™€ ์ฟ ์•Œ๋ผ๋ฃธํ‘ธ๋ฅด, ์‹ฑ๊ฐ€ํฌ๋ฅด์™€ ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 19์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋”œ๋ฆฌ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋”œ๋ฆฌ์—์„œ ์ž์นด๋ฅดํƒ€๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ์ž์นด๋ฅดํƒ€ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์ž์นด๋ฅดํƒ€์—์„œ ์‹ฑ๊ฐ€ํฌ๋ฅด๋กœ ๋น„ํ–‰. 8-13์ผ์ฐจ: 6์ผ๊ฐ„ ์‹ฑ๊ฐ€ํฌ๋ฅด ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ์‹ฑ๊ฐ€ํฌ๋ฅด์—์„œ ์ฟ ์•Œ๋ผ๋ฃธํ‘ธ๋ฅด๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ์ฟ ์•Œ๋ผ๋ฃธํ‘ธ๋ฅด ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ์ฟ ์•Œ๋ผ๋ฃธํ‘ธ๋ฅด์—์„œ ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„์œผ๋กœ ๋น„ํ–‰. 15-16์ผ์ฐจ: 2์ผ๊ฐ„ ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„์—์„œ ๋งˆ๋‹๋ผ๋กœ ๋น„ํ–‰. 16-19์ผ์ฐจ: 4์ผ๊ฐ„ ๋งˆ๋‹๋ผ ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in Asia for a total of 19 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 3 days in Kuala Lumpur. You'll spend 4 days in Manila. You'll spend 6 days in Singapore. You've booked a hotel to stay in Singapore starting on day 8 of your trip. You'll visit Bandar Seri Begawan for 2 days. You'll spend 5 days in Dili. You've decided to do some international service in Dili between days 1 and 5. You'll spend 4 days in Jakarta. You want to make the city with the least number of days as your 5th itinerary. Here are the cities that have direct flights: Bandar Seri Begawan and Kuala Lumpur, Manila and Bandar Seri Begawan, Jakarta and Dili, Jakarta and Manila, Jakarta and Singapore, Dili and Singapore, Dili and Kuala Lumpur, Singapore and Kuala Lumpur, Singapore and Bandar Seri Begawan. Plan your trip to visit six cities in 19 days with direct flights.
Days 1-5: Visit Dili for 5 days. Day 5: Fly from Dili to Jakarta. Days 5-8: Visit Jakarta for 4 days. Day 8: Fly from Jakarta to Singapore. Days 8-13: Visit Singapore for 6 days. Day 13: Fly from Singapore to Kuala Lumpur. Days 13-15: Visit Kuala Lumpur for 3 days. Day 15: Fly from Kuala Lumpur to Bandar Seri Begawan. Days 15-16: Visit Bandar Seri Begawan for 2 days. Day 16: Fly from Bandar Seri Begawan to Manila. Days 16-19: Visit Manila for 4 days.
๋ณ€์ˆ˜ ์ •์˜: K: ์ฟ ์•Œ๋ผ๋ฃธํ‘ธ๋ฅด, M: ๋งˆ๋‹๋ผ, S: ์‹ฑ๊ฐ€ํฌ๋ฅด, B: ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„, D: ๋”œ๋ฆฌ, J: ์ž์นด๋ฅดํƒ€ a_K: ์ฟ ์•Œ๋ผ๋ฃธํ‘ธ๋ฅด ๋„์ฐฉ์ผ, d_K: ์ฟ ์•Œ๋ผ๋ฃธํ‘ธ๋ฅด ์ถœ๋ฐœ์ผ a_M: ๋งˆ๋‹๋ผ ๋„์ฐฉ์ผ, d_M: ๋งˆ๋‹๋ผ ์ถœ๋ฐœ์ผ a_S: ์‹ฑ๊ฐ€ํฌ๋ฅด ๋„์ฐฉ์ผ, d_S: ์‹ฑ๊ฐ€ํฌ๋ฅด ์ถœ๋ฐœ์ผ a_B: ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„ ๋„์ฐฉ์ผ, d_B: ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„ ์ถœ๋ฐœ์ผ a_D: ๋”œ๋ฆฌ ๋„์ฐฉ์ผ, d_D: ๋”œ๋ฆฌ ์ถœ๋ฐœ์ผ a_J: ์ž์นด๋ฅดํƒ€ ๋„์ฐฉ์ผ, d_J: ์ž์นด๋ฅดํƒ€ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_K - a_K + 1 = 3 d_M - a_M + 1 = 4 d_S - a_S + 1 = 6 d_B - a_B + 1 = 2 d_D - a_D + 1 = 5 d_J - a_J + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_K, d_M, d_S, d_B, d_D, d_J) - min(a_K, a_M, a_S, a_B, a_D, a_J) + 1 = 19 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_S = 8 [1, 5] โˆฉ [a_D, d_D] โ‰  โˆ… a_B > min(a_K, a_M, a_S, a_D, a_J) + 3 ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (B โ†” K), (M โ†” B), (J โ†” D), (J โ†” M), (J โ†” S), (D โ†” S), (D โ†” K), (S โ†” K), (S โ†” B) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋”œ๋ฆฌ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋”œ๋ฆฌ์—์„œ ์ž์นด๋ฅดํƒ€๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ์ž์นด๋ฅดํƒ€ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์ž์นด๋ฅดํƒ€์—์„œ ์‹ฑ๊ฐ€ํฌ๋ฅด๋กœ ๋น„ํ–‰. 8-13์ผ์ฐจ: 6์ผ๊ฐ„ ์‹ฑ๊ฐ€ํฌ๋ฅด ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ์‹ฑ๊ฐ€ํฌ๋ฅด์—์„œ ์ฟ ์•Œ๋ผ๋ฃธํ‘ธ๋ฅด๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ์ฟ ์•Œ๋ผ๋ฃธํ‘ธ๋ฅด ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ์ฟ ์•Œ๋ผ๋ฃธํ‘ธ๋ฅด์—์„œ ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„์œผ๋กœ ๋น„ํ–‰. 15-16์ผ์ฐจ: 2์ผ๊ฐ„ ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„์—์„œ ๋งˆ๋‹๋ผ๋กœ ๋น„ํ–‰. 16-19์ผ์ฐจ: 4์ผ๊ฐ„ ๋งˆ๋‹๋ผ ๋ฐฉ๋ฌธ.
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6
์ง์ ‘ ์ƒ์„ฑ
์ด 22์ผ ๋™์•ˆ ์•„์‹œ์•„ 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 7์ผ์„ ํ…Œํ—ค๋ž€์—์„œ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ํ…Œํ—ค๋ž€์„ ๊ฐ€์žฅ ๋งˆ์ง€๋ง‰์— ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 2์ผ๊ฐ„ ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ์— ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ ๋™์•ˆ ๋„ํ•˜์—์„œ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๋„ํ•˜์—์„œ ๋จธ๋ฌผ ๋•Œ ํ•„์š”ํ•œ ์ฐจ๋ฅผ 11์ผ๊ณผ 15์ผ ์‚ฌ์ด์— ๋นŒ๋ ค๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ๋ฐ”๋ผ๋‚˜์‹œ์—์„œ 5์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 3์ผ๊ณผ 6์ผ ์‚ฌ์ด์— ๋ฐ”๋ผ๋‚˜์‹œ์—์„œ ์‚ฌ์—… ๋ฏธํŒ…์ด ์žˆ์Šต๋‹ˆ๋‹ค. 4์ผ์„ ์•„๋ถ€๋‹ค๋น„์—์„œ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 8์ผ๊ณผ 10์ผ ์‚ฌ์ด์— ์•„๋ถ€๋‹ค๋น„์— ์žˆ๋Š” ์นœ๊ตฌ์˜ ์ง‘์—์„œ ๋จธ๋ฌผ๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ์ฝœ๋กฌ๋ณด์— ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฐ”๋ผ๋‚˜์‹œ์™€ ์ฝœ๋กฌ๋ณด, ๋ฐ”๋ผ๋‚˜์‹œ์™€ ํ…Œํ—ค๋ž€, ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ์™€ ๋ฐ”๋ผ๋‚˜์‹œ, ์•„๋ถ€๋‹ค๋น„์™€ ์ฝœ๋กฌ๋ณด, ์•„๋ถ€๋‹ค๋น„์™€ ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ, ๋„ํ•˜์™€ ์•„๋ถ€๋‹ค๋น„, ๋„ํ•˜์™€ ๋ฐ”๋ผ๋‚˜์‹œ, ํ…Œํ—ค๋ž€๊ณผ ๋„ํ•˜, ์ฝœ๋กฌ๋ณด์™€ ์•„๋ถ€๋‹ค๋น„, ์ฝœ๋กฌ๋ณด์™€ ๋„ํ•˜. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 22์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ์—์„œ ๋ฐ”๋ผ๋‚˜์‹œ๋กœ ๋น„ํ–‰. 2-6์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฐ”๋ผ๋‚˜์‹œ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋ฐ”๋ผ๋‚˜์‹œ์—์„œ ์ฝœ๋กฌ๋ณด๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ์ฝœ๋กฌ๋ณด ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์ฝœ๋กฌ๋ณด์—์„œ ์•„๋ถ€๋‹ค๋น„๋กœ ๋น„ํ–‰. 8-11์ผ์ฐจ: 4์ผ๊ฐ„ ์•„๋ถ€๋‹ค๋น„ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ์•„๋ถ€๋‹ค๋น„์—์„œ ๋„ํ•˜๋กœ ๋น„ํ–‰. 11-16์ผ์ฐจ: 6์ผ๊ฐ„ ๋„ํ•˜ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ๋„ํ•˜์—์„œ ํ…Œํ—ค๋ž€์œผ๋กœ ๋น„ํ–‰. 16-22์ผ์ฐจ: 7์ผ๊ฐ„ ํ…Œํ—ค๋ž€ ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in Asia for a total of 22 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to spend 7 days in Tehran. You want to make Tehran the last city you visit. You will be visiting Islamabad for 2 days. You will be staying in Doha for 6 days. You have rented a car for your stay in Doha between the 11th and 15th. You want to spend 5 days in Varanasi. You have a business meeting in Varanasi between the 3rd and 6th. You plan to spend 4 days in Abu Dhabi. You're staying at a friend's house in Abu Dhabi between the 8th and 10th. You'll be in Colombo for 3 days. Here are the cities that have direct flights: Varanasi and Colombo, Varanasi and Tehran, Islamabad and Varanasi, Abu Dhabi and Colombo, Abu Dhabi and Islamabad, Doha and Abu Dhabi, Doha and Varanasi, Tehran and Doha, Colombo and Abu Dhabi, Colombo and Doha. Plan a trip to visit six cities in 22 days with nonstop flights.
Day 1-2: Visit Islamabad for 2 days. Day 2: Fly from Islamabad to Varanasi. Days 2-6: Visit Varanasi for 5 days. Day 6: Fly from Varanasi to Colombo. Days 6-8: Visit Colombo for 3 days. Day 8: Fly from Colombo to Abu Dhabi. Days 8-11: Visit Abu Dhabi for 4 days. Day 11: Fly from Abu Dhabi to Doha. Days 11-16: Visit Doha for 6 days. Day 16: Fly from Doha to Tehran. Days 16-22: Visit Tehran for 7 days.
๋ณ€์ˆ˜ ์ •์˜: T: ํ…Œํ—ค๋ž€, I: ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ, D: ๋„ํ•˜, V: ๋ฐ”๋ผ๋‚˜์‹œ, A: ์•„๋ถ€๋‹ค๋น„, C: ์ฝœ๋กฌ๋ณด a_T: ํ…Œํ—ค๋ž€ ๋„์ฐฉ์ผ, d_T: ํ…Œํ—ค๋ž€ ์ถœ๋ฐœ์ผ a_I: ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ ๋„์ฐฉ์ผ, d_I: ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ ์ถœ๋ฐœ์ผ a_D: ๋„ํ•˜ ๋„์ฐฉ์ผ, d_D: ๋„ํ•˜ ์ถœ๋ฐœ์ผ a_V: ๋ฐ”๋ผ๋‚˜์‹œ ๋„์ฐฉ์ผ, d_V: ๋ฐ”๋ผ๋‚˜์‹œ ์ถœ๋ฐœ์ผ a_A: ์•„๋ถ€๋‹ค๋น„ ๋„์ฐฉ์ผ, d_A: ์•„๋ถ€๋‹ค๋น„ ์ถœ๋ฐœ์ผ a_C: ์ฝœ๋กฌ๋ณด ๋„์ฐฉ์ผ, d_C: ์ฝœ๋กฌ๋ณด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_T - a_T + 1 = 7 d_I - a_I + 1 = 2 d_D - a_D + 1 = 6 d_V - a_V + 1 = 5 d_A - a_A + 1 = 4 d_C - a_C + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_T, d_I, d_D, d_V, d_A, d_C) - min(a_T, a_I, a_D, a_V, a_A, a_C) + 1 = 22 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_T > max(d_I, d_D, d_V, d_A, d_C) [11, 15] โˆฉ [a_D, d_D] โ‰  โˆ… [3, 6] โˆฉ [a_V, d_V] โ‰  โˆ… [8, 10] โˆฉ [a_A, d_A] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (V โ†” C), (V โ†” T), (I โ†” V), (A โ†” C), (A โ†” I), (D โ†” A), (D โ†” V), (T โ†” D), (C โ†” A), (C โ†” D) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ์—์„œ ๋ฐ”๋ผ๋‚˜์‹œ๋กœ ๋น„ํ–‰. 2-6์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฐ”๋ผ๋‚˜์‹œ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋ฐ”๋ผ๋‚˜์‹œ์—์„œ ์ฝœ๋กฌ๋ณด๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ์ฝœ๋กฌ๋ณด ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์ฝœ๋กฌ๋ณด์—์„œ ์•„๋ถ€๋‹ค๋น„๋กœ ๋น„ํ–‰. 8-11์ผ์ฐจ: 4์ผ๊ฐ„ ์•„๋ถ€๋‹ค๋น„ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ์•„๋ถ€๋‹ค๋น„์—์„œ ๋„ํ•˜๋กœ ๋น„ํ–‰. 11-16์ผ์ฐจ: 6์ผ๊ฐ„ ๋„ํ•˜ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ๋„ํ•˜์—์„œ ํ…Œํ—ค๋ž€์œผ๋กœ ๋น„ํ–‰. 16-22์ผ์ฐจ: 7์ผ๊ฐ„ ํ…Œํ—ค๋ž€ ๋ฐฉ๋ฌธ.
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์ด 18์ผ ๋™์•ˆ ์•„์‹œ์•„ 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ผ์‹ธ์—์„œ 2์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๊ด‘์ €์šฐ์—์„œ 4์ผ์„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 5์ผ ๋™์•ˆ ํ‘ธ๊พธ์˜ฅ์— ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ํ™์ฝฉ์—์„œ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ์ฐจ์— ํ™์ฝฉ์—์„œ ์—ด๋ฆฌ๋Š” ํ•™ํšŒ์— ์ฐธ์„ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ ๋™์•ˆ ํŒ€๋ถ€์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๋งˆ์นด์˜ค์—์„œ 3์ผ์„ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํ™์ฝฉ๊ณผ ๊ด‘์ €์šฐ, ํŒ€๋ถ€์™€ ๋ผ์‹ธ, ํ‘ธ๊พธ์˜ฅ๊ณผ ๋งˆ์นด์˜ค, ๋งˆ์นด์˜ค์™€ ํ™์ฝฉ, ๋ผ์‹ธ์™€ ํ‘ธ๊พธ์˜ฅ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 18์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๊ด‘์ €์šฐ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๊ด‘์ €์šฐ์—์„œ ํ™์ฝฉ์œผ๋กœ ๋น„ํ–‰. 4-6์ผ์ฐจ: 3์ผ๊ฐ„ ํ™์ฝฉ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ํ™์ฝฉ์—์„œ ๋งˆ์นด์˜ค๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ๋งˆ์นด์˜ค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋งˆ์นด์˜ค์—์„œ ํ‘ธ๊พธ์˜ฅ์œผ๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ํ‘ธ๊พธ์˜ฅ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ํ‘ธ๊พธ์˜ฅ์—์„œ ๋ผ์‹ธ๋กœ ๋น„ํ–‰. 12-13์ผ์ฐจ: 2์ผ๊ฐ„ ๋ผ์‹ธ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋ผ์‹ธ์—์„œ ํŒ€๋ถ€๋กœ ๋น„ํ–‰. 13-18์ผ์ฐจ: 6์ผ๊ฐ„ ํŒ€๋ถ€ ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in Asia for a total of 18 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 2 days in Lhasa. You'd like to spend 4 days in Guangzhou. You'll be in Phu Quoc for 5 days. You'll be in Hong Kong for 3 days. You'll be attending a conference in Hong Kong on day 6. You'll be spending time in Thimphu for 6 days. You will spend 3 days in Macau. Here are the cities that have direct flights: Hong Kong and Guangzhou, Thimphu and Lhasa, Phu Quoc and Macau, Macau and Hong Kong, Lhasa and Phu Quoc. Plan your trip to visit six cities in 18 days using direct flights.
Days 1-4: Visit Guangzhou for 4 days. Day 4: Fly from Guangzhou to Hong Kong. Days 4-6: Visit Hong Kong for 3 days. Day 6: Fly from Hong Kong to Macau. Days 6-8: Visit Macau for 3 days. Day 8: Fly from Macau to Phu Quoc. Days 8-12: Visit Phu Quoc for 5 days. Day 12: Fly from Phu Quoc to Lhasa. Days 12-13: Visit Lhasa for 2 days. Day 13: Fly from Lhasa to Thimphu. Days 13-18: Visit Thimphu for 6 days.
๋ณ€์ˆ˜ ์ •์˜: L: ๋ผ์‹ธ, G: ๊ด‘์ €์šฐ, P: ํ‘ธ๊พธ์˜ฅ, H: ํ™์ฝฉ, T: ํŒ€๋ถ€, M: ๋งˆ์นด์˜ค a_L: ๋ผ์‹ธ ๋„์ฐฉ์ผ, d_L: ๋ผ์‹ธ ์ถœ๋ฐœ์ผ a_G: ๊ด‘์ €์šฐ ๋„์ฐฉ์ผ, d_G: ๊ด‘์ €์šฐ ์ถœ๋ฐœ์ผ a_P: ํ‘ธ๊พธ์˜ฅ ๋„์ฐฉ์ผ, d_P: ํ‘ธ๊พธ์˜ฅ ์ถœ๋ฐœ์ผ a_H: ํ™์ฝฉ ๋„์ฐฉ์ผ, d_H: ํ™์ฝฉ ์ถœ๋ฐœ์ผ a_T: ํŒ€๋ถ€ ๋„์ฐฉ์ผ, d_T: ํŒ€๋ถ€ ์ถœ๋ฐœ์ผ a_M: ๋งˆ์นด์˜ค ๋„์ฐฉ์ผ, d_M: ๋งˆ์นด์˜ค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_L - a_L + 1 = 2 d_G - a_G + 1 = 4 d_P - a_P + 1 = 5 d_H - a_H + 1 = 3 d_T - a_T + 1 = 6 d_M - a_M + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_L, d_G, d_P, d_H, d_T, d_M) - min(a_L, a_G, a_P, a_H, a_T, a_M) + 1 = 18 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_H โ‰ค 6 โ‰ค d_H ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (H โ†” G), (T โ†” L), (P โ†” M), (M โ†” H), (L โ†” P) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๊ด‘์ €์šฐ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๊ด‘์ €์šฐ์—์„œ ํ™์ฝฉ์œผ๋กœ ๋น„ํ–‰. 4-6์ผ์ฐจ: 3์ผ๊ฐ„ ํ™์ฝฉ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ํ™์ฝฉ์—์„œ ๋งˆ์นด์˜ค๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ๋งˆ์นด์˜ค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋งˆ์นด์˜ค์—์„œ ํ‘ธ๊พธ์˜ฅ์œผ๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ํ‘ธ๊พธ์˜ฅ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ํ‘ธ๊พธ์˜ฅ์—์„œ ๋ผ์‹ธ๋กœ ๋น„ํ–‰. 12-13์ผ์ฐจ: 2์ผ๊ฐ„ ๋ผ์‹ธ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋ผ์‹ธ์—์„œ ํŒ€๋ถ€๋กœ ๋น„ํ–‰. 13-18์ผ์ฐจ: 6์ผ๊ฐ„ ํŒ€๋ถ€ ๋ฐฉ๋ฌธ.
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3
์ง์ ‘ ์ƒ์„ฑ
์ด 8์ผ ๋™์•ˆ ์•„์‹œ์•„ 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋„์ฟ„์—์„œ 3์ผ๊ฐ„ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ์—์„œ 6์ผ ์‚ฌ์ด์— ๋ฐฉ์ฝ•์—์„œ ์—ด๋ฆฌ๋Š” ์•ผ์™ธ ์Œ์•… ํŽ˜์Šคํ‹ฐ๋ฒŒ์— ์•„ํ‹ฐ์ŠคํŠธ๋กœ ์ฐธ์—ฌํ•ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. ๋ฒ ์ด์ง•์—์„œ 3์ผ๊ฐ„ ๋จธ๋ฌด๋ฅผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ๋ฐฉ์ฝ•์— ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฒ ์ด์ง•๊ณผ ๋„์ฟ„, ๋ฒ ์ด์ง•๊ณผ ๋ฐฉ์ฝ•. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 8์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋„์ฟ„ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋„์ฟ„์—์„œ ๋ฒ ์ด์ง•์œผ๋กœ ๋น„ํ–‰. 3-5์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฒ ์ด์ง• ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ฒ ์ด์ง•์—์„œ ๋ฐฉ์ฝ•์œผ๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฐฉ์ฝ• ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in Asia for a total of 8 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll be in Tokyo for 3 days. Between the 5th and 6th, you need to participate as an artist in an outdoor music festival in Bangkok. You'll be in Beijing for 3 days. You'll be in Bangkok for 4 days. Here are the cities that have direct flights: Beijing and Tokyo, Beijing and Bangkok. Plan your trip to visit the three cities in 8 days using direct flights.
Days 1-3: Visit Tokyo for 3 days. Day 3: Fly from Tokyo to Beijing. Days 3-5: Visit Beijing for 3 days. Day 5: Fly from Beijing to Bangkok. Days 5-8: Visit Bangkok for 4 days.
๋ณ€์ˆ˜ ์ •์˜: T: ๋„์ฟ„, K: ๋ฐฉ์ฝ•, B: ๋ฒ ์ด์ง• a_T: ๋„์ฟ„ ๋„์ฐฉ์ผ, d_T: ๋„์ฟ„ ์ถœ๋ฐœ์ผ a_K: ๋ฐฉ์ฝ• ๋„์ฐฉ์ผ, d_K: ๋ฐฉ์ฝ• ์ถœ๋ฐœ์ผ a_B: ๋ฒ ์ด์ง• ๋„์ฐฉ์ผ, d_B: ๋ฒ ์ด์ง• ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_T - a_T + 1 = 3 d_K - a_K + 1 = 4 d_B - a_B + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_T, d_K, d_B) - min(a_T, a_K, a_B) + 1 = 8 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [5, 6] โІ [a_K, d_K] ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (B โ†” T), (B โ†” K) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋„์ฟ„ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋„์ฟ„์—์„œ ๋ฒ ์ด์ง•์œผ๋กœ ๋น„ํ–‰. 3-5์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฒ ์ด์ง• ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ฒ ์ด์ง•์—์„œ ๋ฐฉ์ฝ•์œผ๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฐฉ์ฝ• ๋ฐฉ๋ฌธ.
118
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3
์ง์ ‘ ์ƒ์„ฑ
์ด 7์ผ ๋™์•ˆ ์•„์‹œ์•„ 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์›€์นด์Šค๋ฅด์—์„œ 3์ผ๊ฐ„ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ฒ ์ด๋ฃจํŠธ์—์„œ 4์ผ๊ฐ„ ๋จธ๋ฌด๋ฅผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 2์ผ์—์„œ 4์ผ ์‚ฌ์ด์— ๋ฒ ์ด๋ฃจํŠธ ๋„์‹œ ๊ด€๊ด‘ ํˆฌ์–ด๋ฅผ ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. 2์ผ ๋™์•ˆ ์˜ˆ๋ฃจ์‚ด๋ ˜์— ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์˜ˆ๋ฃจ์‚ด๋ ˜๊ณผ ๋ฒ ์ด๋ฃจํŠธ, ์›€์นด์Šค๋ฅด๊ณผ ๋ฒ ์ด๋ฃจํŠธ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 7์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ์˜ˆ๋ฃจ์‚ด๋ ˜ ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ์—๋ฃจ์‚ด๋ ˜์—์„œ ๋ฒ ์ด๋ฃจํŠธ์œผ๋กœ ๋น„ํ–‰. 2-5์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฒ ์ด๋ฃจํŠธ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ฒ ์ด๋ฃจํŠธ์—์„œ ์›€์นด์Šค๋ฅด๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ์›€์นด์Šค๋ฅด ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in Asia for a total of seven days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll be in Umm Qasr for 3 days. You'll be in Beirut for 4 days. You've booked a city sightseeing tour of Beirut between days 2 and 4. You will be in Jerusalem for 2 days. Here are the cities that have direct flights: Jerusalem and Beirut, Umm Qasr and Beirut. Plan a trip to visit all three cities in 7 days using direct flights.
Days 1-2: Visit Jerusalem for 2 days. Day 2: Fly from Jerusalem to Beirut. Days 2-5: Visit Beirut for 4 days. Day 5: Fly from Beirut to Umm Qasr. Days 5-7: Visit Umm Qasr for 3 days.
๋ณ€์ˆ˜ ์ •์˜: U: ์›€์นด์Šค๋ฅด, B: ๋ฒ ์ด๋ฃจํŠธ, J: ์˜ˆ๋ฃจ์‚ด๋ ˜ a_U: ์›€์นด์Šค๋ฅด ๋„์ฐฉ์ผ, d_U: ์›€์นด์Šค๋ฅด ์ถœ๋ฐœ์ผ a_B: ๋ฒ ์ด๋ฃจํŠธ ๋„์ฐฉ์ผ, d_B: ๋ฒ ์ด๋ฃจํŠธ ์ถœ๋ฐœ์ผ a_J: ์˜ˆ๋ฃจ์‚ด๋ ˜ ๋„์ฐฉ์ผ, d_J: ์˜ˆ๋ฃจ์‚ด๋ ˜ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_U - a_U + 1 = 3 d_B - a_B + 1 = 4 d_J - a_J + 1 = 2 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_U, d_B, d_J) - min(a_U, a_B, a_J) + 1 = 7 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [2, 4] โˆฉ [a_B, d_B] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (J โ†” B), (U โ†” B) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ์˜ˆ๋ฃจ์‚ด๋ ˜ ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ์—๋ฃจ์‚ด๋ ˜์—์„œ ๋ฒ ์ด๋ฃจํŠธ์œผ๋กœ ๋น„ํ–‰. 2-5์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฒ ์ด๋ฃจํŠธ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ฒ ์ด๋ฃจํŠธ์—์„œ ์›€์นด์Šค๋ฅด๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ์›€์นด์Šค๋ฅด ๋ฐฉ๋ฌธ.
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์ด 6์ผ ๋™์•ˆ ์•„์‹œ์•„ 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋งˆ์Šˆํ•˜๋“œ์™€ ๋ผํ˜ธ๋ฅด์—์„œ ๊ฐ๊ฐ 2์ผ๊ฐ„ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋‚จ์€ ์ผ์ •์€ ๋ชจ๋‘ ๋ญ„๋ฐ”์ด์—์„œ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 2์ผ์ฐจ์—๋Š” ๋ญ„๋ฐ”์ด์˜ ์œ ๋ช…ํ•œ ์ „ํ†ต ์Œ์‹ ๋ ˆ์Šคํ† ๋ž‘์— ๋ฐฉ๋ฌธํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ผํ˜ธ๋ฅด์™€ ๋งˆ์Šˆํ•˜๋“œ, ๋งˆ์Šˆํ•˜๋“œ์™€ ๋ญ„๋ฐ”์ด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 6์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ญ„๋ฐ”์ด ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ญ„๋ฐ”์ด์—์„œ ๋งˆ์Šˆํ•˜๋“œ๋กœ ๋น„ํ–‰. 4-5์ผ์ฐจ: 2์ผ๊ฐ„ ๋งˆ์Šˆํ•˜๋“œ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋งˆ์Šˆํ•˜๋“œ์—์„œ ๋ผํ˜ธ๋ฅด๋กœ ๋น„ํ–‰. 5-6์ผ์ฐจ: 2์ผ๊ฐ„ ๋ผํ˜ธ๋ฅด ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in Asia for a total of six days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will spend 2 days each in Mashhad and Lahore, and the rest of your time will be spent in Mumbai. On day 2, you would like to visit a famous traditional food restaurant in Mumbai. Here are the cities that have direct flights: Lahore and Mashhad, Mashhad and Mumbai. Plan a trip to visit these three cities in 6 days using direct flights.
Days 1-4: Visit Mumbai for 4 days. Day 4: Fly from Mumbai to Mashhad. Days 4-5: Visit Mashhad for 2 days. Day 5: Fly from Mashhad to Lahore. Days 5-6: Visit Lahore for 2 days.
๋ณ€์ˆ˜ ์ •์˜: M: ๋งˆ์Šˆํ•˜๋“œ, L: ๋ผํ˜ธ๋ฅด, B: ๋ญ„๋ฐ”์ด a_M: ๋งˆ์Šˆํ•˜๋“œ ๋„์ฐฉ์ผ, d_M: ๋งˆ์Šˆํ•˜๋“œ ์ถœ๋ฐœ์ผ a_L: ๋ผํ˜ธ๋ฅด ๋„์ฐฉ์ผ, d_L: ๋ผํ˜ธ๋ฅด ์ถœ๋ฐœ์ผ a_B: ๋ญ„๋ฐ”์ด ๋„์ฐฉ์ผ, d_B: ๋ญ„๋ฐ”์ด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_M - a_M + 1 = 2 d_L - a_L + 1 = 2 d_B - a_B + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_M, d_L, d_B) - min(a_M, a_L, a_B) + 1 = 6 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: 2 โˆˆ [a_B, d_B] ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (L โ†” M), (M โ†” B) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ญ„๋ฐ”์ด ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ญ„๋ฐ”์ด์—์„œ ๋งˆ์Šˆํ•˜๋“œ๋กœ ๋น„ํ–‰. 4-5์ผ์ฐจ: 2์ผ๊ฐ„ ๋งˆ์Šˆํ•˜๋“œ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋งˆ์Šˆํ•˜๋“œ์—์„œ ๋ผํ˜ธ๋ฅด๋กœ ๋น„ํ–‰. 5-6์ผ์ฐจ: 2์ผ๊ฐ„ ๋ผํ˜ธ๋ฅด ๋ฐฉ๋ฌธ.
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์ด 10์ผ ๋™์•ˆ ์•„์‹œ์•„ 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ฐœ๋ฆฌ, ํŽ˜๋‚ญ, ์‹ฑ๊ฐ€ํฌ๋ฅด์—์„œ ๋ชจ๋‘ 4์ผ์”ฉ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 8์ผ์ฐจ์—๋Š” ๋ฐœ๋ฆฌ ์ „ํ†ต ์‹œ์žฅ ์ถ•์ œ์— ์ฐธ์—ฌํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์‹ฑ๊ฐ€ํฌ๋ฅด์™€ ํŽ˜๋‚ญ, ์‹ฑ๊ฐ€ํฌ๋ฅด์™€ ๋ฐœ๋ฆฌ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 10์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ํŽ˜๋‚ญ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํŽ˜๋‚ญ์—์„œ ์‹ฑ๊ฐ€ํฌ๋ฅด๋กœ ๋น„ํ–‰. 4-7์ผ์ฐจ: 4์ผ๊ฐ„ ์‹ฑ๊ฐ€ํฌ๋ฅด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์‹ฑ๊ฐ€ํฌ๋ฅด์—์„œ ๋ฐœ๋ฆฌ๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฐœ๋ฆฌ ๋ฐฉ๋ฌธ.
You plan to visit three cities in Asia for a total of 10 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will spend 4 days each in Bali, Penang, and Singapore. On day 8, you will participate in a traditional market festival in Bali. Here are the cities that have direct flights: Singapore and Penang, Singapore and Bali. Plan a trip to visit all three cities in 10 days using direct flights.
Days 1-4: Visit Penang for 4 days. Day 4: Fly from Penang to Singapore. Days 4-7: Visit Singapore for 4 days. Day 7: Fly from Singapore to Bali. Days 7-10: Visit Bali for 4 days.
๋ณ€์ˆ˜ ์ •์˜: B: ๋ฐœ๋ฆฌ, P: ํŽ˜๋‚ญ, S: ์‹ฑ๊ฐ€ํฌ๋ฅด a_B: ๋ฐœ๋ฆฌ ๋„์ฐฉ์ผ, d_B: ๋ฐœ๋ฆฌ ์ถœ๋ฐœ์ผ a_P: ํŽ˜๋‚ญ ๋„์ฐฉ์ผ, d_P: ํŽ˜๋‚ญ ์ถœ๋ฐœ์ผ a_S: ์‹ฑ๊ฐ€ํฌ๋ฅด ๋„์ฐฉ์ผ, d_S: ์‹ฑ๊ฐ€ํฌ๋ฅด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_B - a_B + 1 = 4 d_P - a_P + 1 = 4 d_S - a_S + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_B, d_P, d_S) - min(a_B, a_P, a_S) + 1 = 10 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_B โ‰ค 8 โ‰ค d_B ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (S โ†” P), (S โ†” B) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ํŽ˜๋‚ญ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํŽ˜๋‚ญ์—์„œ ์‹ฑ๊ฐ€ํฌ๋ฅด๋กœ ๋น„ํ–‰. 4-7์ผ์ฐจ: 4์ผ๊ฐ„ ์‹ฑ๊ฐ€ํฌ๋ฅด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์‹ฑ๊ฐ€ํฌ๋ฅด์—์„œ ๋ฐœ๋ฆฌ๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฐœ๋ฆฌ ๋ฐฉ๋ฌธ.
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์ด 11์ผ ๋™์•ˆ ์•„์‹œ์•„ 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ํ˜ธ์น˜๋ฏผ์—์„œ ๋จธ๋ฌผ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 4-5์ผ์— ํ˜ธ์น˜๋ฏผ์—์„œ ์นœ์ฒ™์ง‘์—์„œ ์ง€๋‚ด๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. ํ‘ธ์ผ“์—์„œ๋Š” 3์ผ์„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 6์ผ์ฐจ์— ํ‘ธ์ผ“์— ์žˆ๋Š” ์•ผ์‹œ์žฅ์— ๊ฐ€๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ๋ฐ”ํƒ๋ฐฉ์—๋„ 4์ผ๊ฐ„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ์€ ์‚ด๋ผ์™„์— ์žˆ์„ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํ˜ธ์น˜๋ฏผ๊ณผ ํ‘ธ์ผ“, ํ˜ธ์น˜๋ฏผ๊ณผ ์‚ด๋ผ์™„, ํ˜ธ์น˜๋ฏผ๊ณผ ๋ฐ”ํƒ๋ฐฉ, ํ‘ธ์ผ“๊ณผ ๋ฐ”ํƒ๋ฐฉ, ์‚ด๋ผ์™„๊ณผ ํ‘ธ์ผ“. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 11์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ด๋ผ์™„ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์‚ด๋ผ์™„์—์„œ ํ˜ธ์น˜๋ฏผ์œผ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ํ˜ธ์น˜๋ฏผ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ํ˜ธ์น˜๋ฏผ์—์„œ ํ‘ธ์ผ“์œผ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ํ‘ธ์ผ“ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํ‘ธ์ผ“์—์„œ ๋ฐ”ํƒ๋ฐฉ์œผ๋กœ ๋น„ํ–‰. 8-11์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฐ”ํƒ๋ฐฉ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in Asia for a total of 11 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to spend 4 days in Ho Chi Minh City, where you will stay with a relative on days 4 and 5. You want to spend 3 days in Phuket. You want to go to the night market in Phuket on day 6. You'll also be in Battambang for 4 days. You'll be in Salavan for 3 days. Here are the cities that have direct flights: Ho Chi Minh City and Phuket, Ho Chi Minh City and Salavan, Ho Chi Minh City and Battambang, Phuket and Battambang, Salavan and Phuket. Plan your trip to visit four cities in 11 days with direct flights.
Days 1-3: Visit Salavan for 3 days. Day 3: Fly from Salavan to Ho Chi Minh City. Days 3-6: Visit Ho Chi Minh City for 4 days. Day 6: Fly from Ho Chi Minh City to Phuket. Days 6-8: Visit Phuket for 3 days. Day 8: Fly from Phuket to Battambang. Days 8-11: Visit Battambang for 4 days.
๋ณ€์ˆ˜ ์ •์˜: H: ํ˜ธ์น˜๋ฏผ, P: ํ‘ธ์ผ“, B: ๋ฐ”ํƒ๋ฐฉ, S: ์‚ด๋ผ์™„ a_H: ํ˜ธ์น˜๋ฏผ ๋„์ฐฉ์ผ, d_H: ํ˜ธ์น˜๋ฏผ ์ถœ๋ฐœ์ผ a_P: ํ‘ธ์ผ“ ๋„์ฐฉ์ผ, d_P: ํ‘ธ์ผ“ ์ถœ๋ฐœ์ผ a_B: ๋ฐ”ํƒ๋ฐฉ ๋„์ฐฉ์ผ, d_B: ๋ฐ”ํƒ๋ฐฉ ์ถœ๋ฐœ์ผ a_S: ์‚ด๋ผ์™„ ๋„์ฐฉ์ผ, d_S: ์‚ด๋ผ์™„ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_H - a_H + 1 = 4 d_P - a_P + 1 = 3 d_B - a_B + 1 = 4 d_S - a_S + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_H, d_P, d_B, d_S) - min(a_H, a_P, a_B, a_S) + 1 = 11 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: {4, 5} โІ [a_H, d_H] a_P โ‰ค 6 โ‰ค d_P ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (H โ†” P), (H โ†” S), (H โ†” B), (P โ†” B), (S โ†” P) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ด๋ผ์™„ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์‚ด๋ผ์™„์—์„œ ํ˜ธ์น˜๋ฏผ์œผ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ํ˜ธ์น˜๋ฏผ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ํ˜ธ์น˜๋ฏผ์—์„œ ํ‘ธ์ผ“์œผ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ํ‘ธ์ผ“ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํ‘ธ์ผ“์—์„œ ๋ฐ”ํƒ๋ฐฉ์œผ๋กœ ๋น„ํ–‰. 8-11์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฐ”ํƒ๋ฐฉ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 10์ผ ๋™์•ˆ ์•„์‹œ์•„ 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์บ”๋””์™€ ๊ด‘์ €์šฐ์—์„œ๋Š” 4์ผ์„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์—ฌํ–‰์˜ ์‹œ์ž‘์€ ์บ”๋”” ์ง€์—ญ์ด์—ˆ์œผ๋ฉด ์ข‹๊ฒ ์Šต๋‹ˆ๋‹ค. ๋น„๋ฅด๊ฐ„์ง€์— 2์ผ๊ฐ„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ์€ ๋ธ๋ฆฌ์— ์žˆ์„ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 8์ผ์ฐจ์—๋Š” ๊ด‘์ €์šฐ์—์„œ ์—ด๋ฆฌ๋Š” ์ „ํ†ต์ˆ  ๋ฐ•๋žŒํšŒ๋ฅผ ๊ตฌ๊ฒฝํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๋ธ๋ฆฌ์—์„œ๋Š” 3์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ธ๋ฆฌ์™€ ๊ด‘์ €์šฐ, ๋ธ๋ฆฌ์™€ ๋น„๋ฅด๊ฐ„์ง€, ์บ”๋””์™€ ๊ด‘์ €์šฐ, ์บ”๋””์™€ ๋น„๋ฅด๊ฐ„์ง€, ๋ธ๋ฆฌ์™€ ์บ”๋””. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 10์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์บ”๋”” ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์บ”๋””์—์„œ ๋น„๋ฅด๊ฐ„์ง€๋กœ ๋น„ํ–‰. 4-5์ผ์ฐจ: 2์ผ๊ฐ„ ๋น„๋ฅด๊ฐ„์ง€ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋น„๋ฅด๊ฐ„์ง€์—์„œ ๋ธ๋ฆฌ๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ๋ธ๋ฆฌ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋ธ๋ฆฌ์—์„œ ๊ด‘์ €์šฐ๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ๊ด‘์ €์šฐ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in Asia for a total of 10 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to spend 4 days in both Kandy and Guangzhou. You would like to start your trip in the Kandy area. You'll visit Birganj for 2 days. For 3 days, You'll be in Delhi. On day 8, you will visit a traditional liquor fair in Guangzhou. You'll spend three days in Delhi. Here are the cities that have direct flights: Delhi and Guangzhou, Delhi and Birganj, Kandy and Guangzhou, Kandy and Birganj, Delhi and Kandy. Plan a trip to visit four cities in 10 days using direct flights.
Days 1-4: Visit Kandy for 4 days. Day 4: Fly from Kandy to Birganj. Days 4-5: Visit Birganj for 2 days. Day 5: Fly from Birganj to Delhi. Days 5-7: Visit Delhi for 3 days. Day 7: Fly from Delhi to Guangzhou. Days 7-10: Visit Guangzhou for 4 days.
๋ณ€์ˆ˜ ์ •์˜: C: ์บ”๋””, G: ๊ด‘์ €์šฐ, B: ๋น„๋ฅด๊ฐ„์ง€, D: ๋ธ๋ฆฌ a_C: ์บ”๋”” ๋„์ฐฉ์ผ, d_C: ์บ”๋”” ์ถœ๋ฐœ์ผ a_G: ๊ด‘์ €์šฐ ๋„์ฐฉ์ผ, d_G: ๊ด‘์ €์šฐ ์ถœ๋ฐœ์ผ a_B: ๋น„๋ฅด๊ฐ„์ง€ ๋„์ฐฉ์ผ, d_B: ๋น„๋ฅด๊ฐ„์ง€ ์ถœ๋ฐœ์ผ a_D: ๋ธ๋ฆฌ ๋„์ฐฉ์ผ, d_D: ๋ธ๋ฆฌ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_C - a_C + 1 = 4 d_G - a_G + 1 = 4 d_B - a_B + 1 = 2 d_D - a_D + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_C, d_G, d_B, d_D) - min(a_C, a_G, a_B, a_D) + 1 = 10 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_C = 1 a_G โ‰ค 8 โ‰ค d_G ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (D โ†” G), (D โ†” B), (C โ†” G), (C โ†” B), (D โ†” C) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์บ”๋”” ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์บ”๋””์—์„œ ๋น„๋ฅด๊ฐ„์ง€๋กœ ๋น„ํ–‰. 4-5์ผ์ฐจ: 2์ผ๊ฐ„ ๋น„๋ฅด๊ฐ„์ง€ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋น„๋ฅด๊ฐ„์ง€์—์„œ ๋ธ๋ฆฌ๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ๋ธ๋ฆฌ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋ธ๋ฆฌ์—์„œ ๊ด‘์ €์šฐ๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ๊ด‘์ €์šฐ ๋ฐฉ๋ฌธ.
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4
์ง์ ‘ ์ƒ์„ฑ
์ด 9์ผ ๋™์•ˆ ์•„์‹œ์•„ 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ํ˜ธ์น˜๋ฏผ์—์„œ 3์ผ์„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์ œ์ฃผ์—๋„ 3์ผ๊ฐ„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 2์ผ ๋™์•ˆ์€ ์˜ค์‚ฌ์นด์— ์žˆ์„ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 3, 4์ผ์ฐจ์—๋Š” ์ƒํ•˜์ด์˜ ๊ตญ์ œ๋ชจํ„ฐ์‡ผ๋ฅผ ์ฐธ๊ด€ํ•  ๊ณ„ํš์ด๋ฉฐ, ์ด 4์ผ๊ฐ„ ๋จธ๋ฌผ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์—ฌ์ •์€ ์ดํ‹€ ๊ฐ„์˜ ์ผ๋ณธ ์—ฌํ–‰์œผ๋กœ ๋งˆ๋ฌด๋ฆฌํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์˜ค์‚ฌ์นด์™€ ์ œ์ฃผ, ์ƒํ•˜์ด์™€ ํ˜ธ์น˜๋ฏผ, ์ƒํ•˜์ด์™€ ์ œ์ฃผ, ์ œ์ฃผ์™€ ํ˜ธ์น˜๋ฏผ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 9์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ํ˜ธ์น˜๋ฏผ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ํ˜ธ์น˜๋ฏผ์—์„œ ์ƒํ•˜์ด๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ์ƒํ•˜์ด ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์ƒํ•˜์ด์—์„œ ์ œ์ฃผ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ์ œ์ฃผ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์ œ์ฃผ์—์„œ ์˜ค์‚ฌ์นด๋กœ ๋น„ํ–‰. 8-9์ผ์ฐจ: 2์ผ๊ฐ„ ์˜ค์‚ฌ์นด ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in Asia for a total of 9 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to spend 3 days in Ho Chi Minh City. You'll also be in Jeju for 3 days. You'll be in Osaka for 2 days. On days 3 and 4, you plan to visit the International Motor Show in Shanghai, and you want to stay there for a total of 4 days. You want to end your trip with a 2-day trip to Japan. Here are the cities that have direct flights: Osaka and Jeju, Shanghai and Ho Chi Minh City, Shanghai and Jeju, Jeju and Ho Chi Minh City. Plan a trip to visit these four cities in 9 days using direct flights.
Days 1-3: Visit Ho Chi Minh City for 3 days. Day 3: Fly from Ho Chi Minh City to Shanghai. Days 3-6: Visit Shanghai for 4 days. Day 6: Fly from Shanghai to Jeju. Days 6-8: Visit Jeju for 3 days. Day 8: Fly from Jeju to Osaka. Days 8-9: Visit Osaka for 2 days.
๋ณ€์ˆ˜ ์ •์˜: H: ํ˜ธ์น˜๋ฏผ, J: ์ œ์ฃผ, O: ์˜ค์‚ฌ์นด, S: ์ƒํ•˜์ด a_H: ํ˜ธ์น˜๋ฏผ ๋„์ฐฉ์ผ, d_H: ํ˜ธ์น˜๋ฏผ ์ถœ๋ฐœ์ผ a_J: ์ œ์ฃผ ๋„์ฐฉ์ผ, d_J: ์ œ์ฃผ ์ถœ๋ฐœ์ผ a_O: ์˜ค์‚ฌ์นด ๋„์ฐฉ์ผ, d_O: ์˜ค์‚ฌ์นด ์ถœ๋ฐœ์ผ a_S: ์ƒํ•˜์ด ๋„์ฐฉ์ผ, d_S: ์ƒํ•˜์ด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_H - a_H + 1 = 3 d_J - a_J + 1 = 3 d_O - a_O + 1 = 2 d_S - a_S + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_H, d_J, d_O, d_S) - min(a_H, a_J, a_O, a_S) + 1 = 9 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: {3, 4} โІ [a_S, d_S] d_O = 10 ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (O โ†” J), (S โ†” H), (S โ†” J), (J โ†” H) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ํ˜ธ์น˜๋ฏผ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ํ˜ธ์น˜๋ฏผ์—์„œ ์ƒํ•˜์ด๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ์ƒํ•˜์ด ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์ƒํ•˜์ด์—์„œ ์ œ์ฃผ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ์ œ์ฃผ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์ œ์ฃผ์—์„œ ์˜ค์‚ฌ์นด๋กœ ๋น„ํ–‰. 8-9์ผ์ฐจ: 2์ผ๊ฐ„ ์˜ค์‚ฌ์นด ๋ฐฉ๋ฌธ.
124
์•„์‹œ์•„
4
์ง์ ‘ ์ƒ์„ฑ
์ด 8์ผ ๋™์•ˆ ์•„์‹œ์•„ 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์‹œ์•ˆ๊ณผ ๋งˆ์นด์˜ค์—์„œ 2์ผ๊ฐ„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ์€ ๋ถ€์‚ฐ์— ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ํ™์ฝฉ์—์„œ๋Š” 4์ผ๊ฐ„ ๋จธ๋ฌผ๋Ÿฌ์•ผ ํ•ฉ๋‹ˆ๋‹ค. 3์ผ์ฐจ์— ํ™์ฝฉ์—์„œ ๋””์ฆˆ๋‹ˆ๋žœ๋“œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. 7์ผ์ฐจ์— ๋ถ€์‚ฐ์—์„œ ์š”ํŠธ ํˆฌ์–ด์— ์ฐธ์—ฌํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ถ€์‚ฐ๊ณผ ์‹œ์•ˆ, ํ™์ฝฉ๊ณผ ๋งˆ์นด์˜ค, ์‹œ์•ˆ๊ณผ ํ™์ฝฉ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 8์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ๋งˆ์นด์˜ค ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ๋งˆ์นด์˜ค์—์„œ ํ™์ฝฉ์œผ๋กœ ๋น„ํ–‰. 2-5์ผ์ฐจ: 4์ผ๊ฐ„ ํ™์ฝฉ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ํ™์ฝฉ์—์„œ ์‹œ์•ˆ์œผ๋กœ ๋น„ํ–‰. 5-6์ผ์ฐจ: 2์ผ๊ฐ„ ์‹œ์•ˆ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์‹œ์•ˆ์—์„œ ๋ถ€์‚ฐ์œผ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ๋ถ€์‚ฐ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in Asia for a total of 8 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to spend 2 days in Xi'an and Macau. You'll stay in Busan for 3 days. You need to spend 4 days in Hong Kong. On day 3, you plan to visit Disneyland in Hong Kong. On day 7, you plan to take a yacht tour in Busan. Here are the cities that have direct flights: Busan and Xi'an, Hong Kong and Macau, Xi'an and Hong Kong. Plan a trip to visit four cities in 8 days using direct flights.
Day 1-2: Visit Macau for 2 days. Day 2: Fly from Macau to Hong Kong. Days 2-5: Visit Hong Kong for 4 days. Day 5: Fly from Hong Kong to Xi'an. Days 5-6: Visit Xi'an for 2 days. Day 6: Fly from Xi'an to Busan. Days 6-8: Visit Busan for 3 days.
๋ณ€์ˆ˜ ์ •์˜: X: ์‹œ์•ˆ, M: ๋งˆ์นด์˜ค, B: ๋ถ€์‚ฐ, H: ํ™์ฝฉ a_X: ์‹œ์•ˆ ๋„์ฐฉ์ผ, d_X: ์‹œ์•ˆ ์ถœ๋ฐœ์ผ a_M: ๋งˆ์นด์˜ค ๋„์ฐฉ์ผ, d_M: ๋งˆ์นด์˜ค ์ถœ๋ฐœ์ผ a_B: ๋ถ€์‚ฐ ๋„์ฐฉ์ผ, d_B: ๋ถ€์‚ฐ ์ถœ๋ฐœ์ผ a_H: ํ™์ฝฉ ๋„์ฐฉ์ผ, d_H: ํ™์ฝฉ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_X - a_X + 1 = 2 d_M - a_M + 1 = 2 d_B - a_B + 1 = 3 d_H - a_H + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_X, d_M, d_B, d_H) - min(a_X, a_M, a_B, a_H) + 1 = 8 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_H โ‰ค 3 โ‰ค d_H a_B โ‰ค 7 โ‰ค d_B ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (B โ†” X), (H โ†” M), (X โ†” H) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ๋งˆ์นด์˜ค ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ๋งˆ์นด์˜ค์—์„œ ํ™์ฝฉ์œผ๋กœ ๋น„ํ–‰. 2-5์ผ์ฐจ: 4์ผ๊ฐ„ ํ™์ฝฉ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ํ™์ฝฉ์—์„œ ์‹œ์•ˆ์œผ๋กœ ๋น„ํ–‰. 5-6์ผ์ฐจ: 2์ผ๊ฐ„ ์‹œ์•ˆ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์‹œ์•ˆ์—์„œ ๋ถ€์‚ฐ์œผ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ๋ถ€์‚ฐ ๋ฐฉ๋ฌธ.
125
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5
์ง์ ‘ ์ƒ์„ฑ
์ด 20์ผ ๋™์•ˆ ์•„์‹œ์•„ 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ฐ”์ฟ , ํƒ€์Šˆ์ผ„ํŠธ ๊ฐ๊ฐ์—์„œ 4์ผ๊ฐ„ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 10์ผ์ฐจ์—๋Š” ํƒ€์Šˆ์ผ„ํŠธ์—์„œ ์นœ๊ตฌ์™€ ์ €๋…์‹์‚ฌ๋ฅผ ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ฒ ์ด์ง•๊ณผ ์•Œ๋งˆํ‹ฐ๋Š” ๊ฐ๊ฐ 5์ผ ๋™์•ˆ ๋ฐฉ๋ฌธํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์˜ˆ๋ ˆ๋ฐ˜์—์„œ๋Š” 6์ผ์„ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์˜ˆ๋ ˆ๋ฐ˜์ด ๋งˆ์ง€๋ง‰ ์—ฌํ–‰์ง€๋ฉด ์ข‹๊ฒ ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์˜ˆ๋ ˆ๋ฐ˜๊ณผ ํƒ€์Šˆ์ผ„ํŠธ, ์•Œ๋งˆํ‹ฐ์™€ ํƒ€์Šˆ์ผ„ํŠธ, ๋ฐ”์ฟ ์™€ ํƒ€์Šˆ์ผ„ํŠธ, ๋ฒ ์ด์ง•๊ณผ ์˜ˆ๋ ˆ๋ฐ˜, ๋ฐ”์ฟ ์™€ ์˜ˆ๋ ˆ๋ฐ˜, ๋ฒ ์ด์ง•๊ณผ ์•Œ๋งˆํ‹ฐ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 20์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฒ ์ด์ง• ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ฒ ์ด์ง•์—์„œ ์•Œ๋งˆํ‹ฐ๋กœ ๋น„ํ–‰. 5-9์ผ์ฐจ: 5์ผ๊ฐ„ ์•Œ๋งˆํ‹ฐ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์•Œ๋งˆํ‹ฐ์—์„œ ํƒ€์Šˆ์ผ„ํŠธ๋กœ ๋น„ํ–‰. 9-12์ผ์ฐจ: 4์ผ๊ฐ„ ํƒ€์Šˆ์ผ„ํŠธ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ํƒ€์Šˆ์ผ„ํŠธ์—์„œ ๋ฐ”์ฟ ๋กœ ๋น„ํ–‰. 12-15์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฐ”์ฟ  ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋ฐ”์ฟ ์—์„œ ์˜ˆ๋ ˆ๋ฐ˜์œผ๋กœ ๋น„ํ–‰. 15-20์ผ์ฐจ: 6์ผ๊ฐ„ ์˜ˆ๋ ˆ๋ฐ˜ ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in Asia for a total of 20 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will spend 4 days in each of Baku and Tashkent. On day 10, you will have dinner with a friend in Tashkent. You would like to visit Beijing and Almaty for 5 days each. You will spend 6 days in Yerevan. You would like Yerevan to be your last trip. Here are the cities that have direct flights: Yerevan and Tashkent, Almaty and Tashkent, Baku and Tashkent, Beijing and Yerevan, Baku and Yerevan, Beijing and Almaty. Plan a trip to visit five cities in 20 days using direct flights.
Days 1-5: Visit Beijing for 5 days. Day 5: Fly from Beijing to Almaty. Days 5-9: Visit Almaty for 5 days. Day 9: Fly from Almaty to Tashkent. Days 9-12: Visit Tashkent for 4 days. Day 12: Fly from Tashkent to Baku. Days 12-15: Visit Baku for 4 days. Day 15: Fly from Baku to Yerevan. Days 15-20: Visit Yerevan for 6 days.
๋ณ€์ˆ˜ ์ •์˜: B: ๋ฐ”์ฟ , T: ํƒ€์Šˆ์ผ„ํŠธ, J: ๋ฒ ์ด์ง•, A: ์•Œ๋งˆํ‹ฐ, Y: ์˜ˆ๋ ˆ๋ฐ˜ a_B: ๋ฐ”์ฟ  ๋„์ฐฉ์ผ, d_B: ๋ฐ”์ฟ  ์ถœ๋ฐœ์ผ a_T: ํƒ€์Šˆ์ผ„ํŠธ ๋„์ฐฉ์ผ, d_T: ํƒ€์Šˆ์ผ„ํŠธ ์ถœ๋ฐœ์ผ a_J: ๋ฒ ์ด์ง• ๋„์ฐฉ์ผ, d_J: ๋ฒ ์ด์ง• ์ถœ๋ฐœ์ผ a_A: ์•Œ๋งˆํ‹ฐ ๋„์ฐฉ์ผ, d_A: ์•Œ๋งˆํ‹ฐ ์ถœ๋ฐœ์ผ a_Y: ์˜ˆ๋ ˆ๋ฐ˜ ๋„์ฐฉ์ผ, d_Y: ์˜ˆ๋ ˆ๋ฐ˜ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_B - a_B + 1 = 4 d_T - a_T + 1 = 4 d_J - a_J + 1 = 5 d_A - a_A + 1 = 5 d_Y - a_Y + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_B, d_T, d_J, d_A, d_Y) - min(a_B, a_T, d_J, a_A, a_Y) + 1 = 20 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_T โ‰ค 10 โ‰ค d_T d_Y = 20 ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (Y โ†” T), (A โ†” T), (B โ†” T), (J โ†” Y), (B โ†” Y), (J โ†” A) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฒ ์ด์ง• ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ฒ ์ด์ง•์—์„œ ์•Œ๋งˆํ‹ฐ๋กœ ๋น„ํ–‰. 5-9์ผ์ฐจ: 5์ผ๊ฐ„ ์•Œ๋งˆํ‹ฐ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์•Œ๋งˆํ‹ฐ์—์„œ ํƒ€์Šˆ์ผ„ํŠธ๋กœ ๋น„ํ–‰. 9-12์ผ์ฐจ: 4์ผ๊ฐ„ ํƒ€์Šˆ์ผ„ํŠธ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ํƒ€์Šˆ์ผ„ํŠธ์—์„œ ๋ฐ”์ฟ ๋กœ ๋น„ํ–‰. 12-15์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฐ”์ฟ  ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋ฐ”์ฟ ์—์„œ ์˜ˆ๋ ˆ๋ฐ˜์œผ๋กœ ๋น„ํ–‰. 15-20์ผ์ฐจ: 6์ผ๊ฐ„ ์˜ˆ๋ ˆ๋ฐ˜ ๋ฐฉ๋ฌธ.
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5
์ง์ ‘ ์ƒ์„ฑ
์ด 14์ผ ๋™์•ˆ ์•„์‹œ์•„ 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์ฝœ๋กฌ๋ณด์—์„œ๋Š” 2์ผ๋งŒ ๋จธ๋ฌผ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์–‘๊ณค์—๋Š” 5์ผ๋™์•ˆ ๋จธ๋ฌผ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 10์ผ์ฐจ์™€ 11์ผ์ฐจ ์ดํ‹€๊ฐ„ ์–‘๊ณค์—์„œ ์‹œํ‹ฐ ํˆฌ์–ด์— ์ฐธ์—ฌํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ง๋ ˆ์™€ ์ฒธ๋‚˜์ด์—์„œ๋Š” 4์ผ๊ฐ„ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ์ฐจ์—์„œ 6์ผ์ฐจ๊นŒ์ง€๋Š” ๋ง๋ ˆ์—์„œ ์Šค๋…ธ์ฟจ๋ง์„ ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ์—์„œ๋Š” 3์ผ๊ฐ„ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์ฝœ๋กฌ๋ณด์™€ ์–‘๊ณค, ์ฝœ๋กฌ๋ณด์™€ ๋ง๋ ˆ, ์–‘๊ณค๊ณผ ์ฒธ๋‚˜์ด, ๋ง๋ ˆ์™€ ์–‘๊ณค, ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ์™€ ์ฒธ๋‚˜์ด, ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ์™€ ๋ง๋ ˆ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 14์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ์—์„œ ๋ง๋ ˆ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ๋ง๋ ˆ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋ง๋ ˆ์—์„œ ์ฝœ๋กฌ๋ณด ๋น„ํ–‰. 6-7์ผ์ฐจ: 2์ผ๊ฐ„ ์ฝœ๋กฌ๋ณด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์ฝœ๋กฌ๋ณด์—์„œ ์–‘๊ณค์œผ๋กœ ๋น„ํ–‰. 7-11์ผ์ฐจ: 5์ผ๊ฐ„ ์–‘๊ณค ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ์–‘๊ณค์—์„œ ์ฒธ๋‚˜์ด๋กœ ๋น„ํ–‰. 11-14์ผ์ฐจ: 4์ผ๊ฐ„ ์ฒธ๋‚˜์ด ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in Asia for a total of 14 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. In Colombo, you only want to stay for 2 days. You want to stay in Yangon for 5 days. On days 10 and 11, you'll take a city tour in Yangon for 2 days. In Male and Chennai, you'll stay for 4 days. On days 5 and 6, you'll go snorkeling in Male. In Islamabad, you'll stay for 3 days. Here are the cities that have direct flights: Colombo and Yangon, Colombo and Male, Yangon and Chennai, Male and Yangon, Islamabad and Chennai, Islamabad and Male. Plan a trip to visit five cities in 14 days with direct flights.
Days 1-3: Visit Islamabad for 3 days. Day 3: Fly from Islamabad to Male. Days 3-6: Visit Male for 4 days. Day 6: Fly from Male to Colombo. Days 6-7: Visit Colombo for 2 days. Day 7: Fly from Colombo to Yangon. Days 7-11: Visit Yangon for 5 days. Day 11: Fly from Yangon to Chennai. Days 11-14: Visit Chennai for 4 days.
๋ณ€์ˆ˜ ์ •์˜: C: ์ฝœ๋กฌ๋ณด, Y: ์–‘๊ณค, M: ๋ง๋ ˆ, Ch: ์ฒธ๋‚˜์ด, I: ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ a_C: ์ฝœ๋กฌ๋ณด ๋„์ฐฉ์ผ, d_C: ์ฝœ๋กฌ๋ณด ์ถœ๋ฐœ์ผ a_Y: ์–‘๊ณค ๋„์ฐฉ์ผ, d_Y: ์–‘๊ณค ์ถœ๋ฐœ์ผ a_M: ๋ง๋ ˆ ๋„์ฐฉ์ผ, d_M: ๋ง๋ ˆ ์ถœ๋ฐœ์ผ a_Ch: ์ฒธ๋‚˜์ด ๋„์ฐฉ์ผ, d_Ch: ์ฒธ๋‚˜์ด ์ถœ๋ฐœ์ผ a_I: ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ ๋„์ฐฉ์ผ, d_I: ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_C - a_C + 1 = 2 d_Y - a_Y + 1 = 5 d_M - a_M + 1 = 4 d_Ch - a_Ch + 1 = 4 d_I - a_I + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_C, d_Y, d_M, d_Ch, d_I) - min(a_C, a_Y, a_M, a_Ch, a_I) + 1 = 14 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: {10, 11} โІ [a_Y, d_Y] {5, 6} โІ [a_M, d_M] ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (C โ†” Y), (C โ†” M), (Y โ†” Ch), (M โ†” Y), (I โ†” Ch), (I โ†” M) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์ด์Šฌ๋ผ๋งˆ๋ฐ”๋“œ์—์„œ ๋ง๋ ˆ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ๋ง๋ ˆ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋ง๋ ˆ์—์„œ ์ฝœ๋กฌ๋ณด ๋น„ํ–‰. 6-7์ผ์ฐจ: 2์ผ๊ฐ„ ์ฝœ๋กฌ๋ณด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์ฝœ๋กฌ๋ณด์—์„œ ์–‘๊ณค์œผ๋กœ ๋น„ํ–‰. 7-11์ผ์ฐจ: 5์ผ๊ฐ„ ์–‘๊ณค ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ์–‘๊ณค์—์„œ ์ฒธ๋‚˜์ด๋กœ ๋น„ํ–‰. 11-14์ผ์ฐจ: 4์ผ๊ฐ„ ์ฒธ๋‚˜์ด ๋ฐฉ๋ฌธ.
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์ด 15์ผ ๋™์•ˆ ์•„์‹œ์•„ 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์„œ์šธ๊ณผ ๋‘์ƒจ๋ฒ ์—์„œ๋Š” ๊ฐ๊ฐ 2์ผ์„, ๋‚˜๋จธ์ง€ ๋„์‹œ์—์„œ๋Š” ๋ชจ๋‘ 5์ผ์„ ๋จธ๋ฌผ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์—ฌํ–‰์˜ ์‹œ์ž‘์€ ๋‘์ƒจ๋ฒ ์˜€์œผ๋ฉด ์ข‹๊ฒ ์Šต๋‹ˆ๋‹ค. 8์ผ์ฐจ์—๋Š” ํŒ€ํ‘ธ์—์„œ ๋ถˆํƒ‘์„ ๊ด€๋žŒํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์„œ์šธ๊ณผ ์นดํŠธ๋งŒ๋‘, ํŒ€ํ‘ธ์™€ ์นดํŠธ๋งŒ๋‘, ์„œ์šธ๊ณผ ๋‘์ƒจ๋ฒ , ํŒ€ํ‘ธ์™€ ๋‘์ƒจ๋ฒ , ํŒ€ํ‘ธ์™€ ๋ฒ„๊ฐ„. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 15์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ๋‘์ƒจ๋ฒ  ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ๋‘์ƒจ๋ฒ ์—์„œ ์„œ์šธ๋กœ ๋น„ํ–‰. 2-3์ผ์ฐจ: 2์ผ๊ฐ„ ์„œ์šธ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์„œ์šธ์—์„œ ์นดํŠธ๋งŒ๋‘ ๋น„ํ–‰. 3-7์ผ์ฐจ: 5์ผ๊ฐ„ ์นดํŠธ๋งŒ๋‘ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์นดํŠธ๋งŒ๋‘์—์„œ ํŒ€ํ‘ธ๋กœ ๋น„ํ–‰. 7-11์ผ์ฐจ: 5์ผ๊ฐ„ ํŒ€ํ‘ธ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ํŒ€ํ‘ธ์—์„œ ๋ฒ„๊ฐ„์œผ๋กœ ๋น„ํ–‰. 11-15์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฒ„๊ฐ„ ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in Asia for a total of 15 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You would like to spend 2 days each in Seoul and Dushanbe, and 5 days in all the other cities. You would like to start your trip in Dushanbe. On day 8 you will visit the stupas in Thimphu. Here are the cities that have direct flights: Seoul and Kathmandu, Thimphu and Kathmandu, Seoul and Dushanbe, Thimphu and Dushanbe, Thimphu and Bagan. Plan your trip to visit five cities in 15 days with direct flights.
Days 1-2: Visit Dushanbe for 2 days. Day 2: Fly from Dushanbe to Seoul. Day 2-3: Visit Seoul for 2 days. Day 3: Fly from Seoul to Kathmandu. Days 3-7: Visit Kathmandu for 5 days. Day 7: Fly from Kathmandu to Thimphu. Days 7-11: Visit Thimphu for 5 days. Day 11: Fly from Thimphu to Bagan. Days 11-15: Visit Bagan for 5 days.
๋ณ€์ˆ˜ ์ •์˜: D: ๋‘์ƒจ๋ฒ , S: ์„œ์šธ, K: ์นดํŠธ๋งŒ๋‘, T: ํŒ€ํ‘ธ, B: ๋ฒ„๊ฐ„ a_D: ๋‘์ƒจ๋ฒ  ๋„์ฐฉ์ผ, d_D: ๋‘์ƒจ๋ฒ  ์ถœ๋ฐœ์ผ a_S: ์„œ์šธ ๋„์ฐฉ์ผ, d_S: ์„œ์šธ ์ถœ๋ฐœ์ผ a_K: ์นดํŠธ๋งŒ๋‘ ๋„์ฐฉ์ผ, d_K: ์นดํŠธ๋งŒ๋‘ ์ถœ๋ฐœ์ผ a_T: ํŒ€ํ‘ธ ๋„์ฐฉ์ผ, d_T: ํŒ€ํ‘ธ ์ถœ๋ฐœ์ผ a_B: ๋ฒ„๊ฐ„ ๋„์ฐฉ์ผ, d_B: ๋ฒ„๊ฐ„ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_D - a_D + 1 = 2 d_S - a_S + 1 = 2 d_K - a_K + 1 = 5 d_T - a_T + 1 = 5 d_B - a_B + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_D, d_S, d_K, d_T, d_B) - min(a_D, a_S, a_K, a_T, a_B) + 1 = 15 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_D = 1 a_T โ‰ค 8 โ‰ค d_T ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (S โ†” K), (T โ†” K), (S โ†” D), (T โ†” D), (T โ†” B) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ๋‘์ƒจ๋ฒ  ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ๋‘์ƒจ๋ฒ ์—์„œ ์„œ์šธ๋กœ ๋น„ํ–‰. 2-3์ผ์ฐจ: 2์ผ๊ฐ„ ์„œ์šธ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์„œ์šธ์—์„œ ์นดํŠธ๋งŒ๋‘ ๋น„ํ–‰. 3-7์ผ์ฐจ: 5์ผ๊ฐ„ ์นดํŠธ๋งŒ๋‘ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์นดํŠธ๋งŒ๋‘์—์„œ ํŒ€ํ‘ธ๋กœ ๋น„ํ–‰. 7-11์ผ์ฐจ: 5์ผ๊ฐ„ ํŒ€ํ‘ธ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ํŒ€ํ‘ธ์—์„œ ๋ฒ„๊ฐ„์œผ๋กœ ๋น„ํ–‰. 11-15์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฒ„๊ฐ„ ๋ฐฉ๋ฌธ.
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์ด 17์ผ ๋™์•ˆ ์•„์‹œ์•„ 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ฌด์Šค์นดํŠธ์—์„œ๋Š” 3์ผ์„ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์ฟ ์›จ์ดํŠธ์‹œํ‹ฐ, ๋‘๋ฐ”์ด, ๋ฆฌ์•ผ๋“œ์—์„œ๋Š” ๊ฐ๊ฐ 4์ผ์„ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์—ฌํ–‰ 2์ผ์ฐจ์— ์ฟ ์›จ์ดํŠธ ์‹œํ‹ฐ์˜ ์ค‘์‹ฌ๊ฐ€์— ์œ„์น˜ํ•œ ๋ฐฑํ™”์ ์—์„œ ์นœ๊ตฌ์™€ ์ €๋… ์•ฝ์†์ด ์žˆ์Šต๋‹ˆ๋‹ค. ์—ฌํ–‰ 8์ผ์ฐจ์—๋Š” ๋ฆฌ์•ผ๋“œ์—์„œ ์—ด๋ฆฌ๋Š” ์ด์Šคํฌ์ธ  ์›”๋“œ์ปต์„ ๊ด€๋žŒํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๋„ํ•˜์—์„œ๋Š” 6์ผ์„ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๋„ํ•˜์—์„œ 14์ผ์ฐจ์™€ 15์ผ์ฐจ์— ์ปจํผ๋Ÿฐ์Šค์— ์ฐธ์„ํ•ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฆฌ์•ผ๋“œ์™€ ๋‘๋ฐ”์ด, ๋ฆฌ์•ผ๋“œ์™€ ๋„ํ•˜, ๋‘๋ฐ”์ด์™€ ์ฟ ์›จ์ดํŠธ ์‹œํ‹ฐ, ๋„ํ•˜์™€ ๋ฌด์Šค์นดํŠธ, ๋ฌด์Šค์นดํŠธ์™€ ๋‘๋ฐ”์ด, ์ฟ ์›จ์ดํŠธ ์‹œํ‹ฐ์™€ ๋ฆฌ์•ผ๋“œ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 17์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์ฟ ์›จ์ดํŠธ์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์ฟ ์›จ์ดํŠธ์‹œํ‹ฐ์—์„œ ๋‘๋ฐ”์ด๋กœ ๋น„ํ–‰. 4-7์ผ์ฐจ: 4์ผ๊ฐ„ ๋‘๋ฐ”์ด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋‘๋ฐ”์ด์—์„œ ๋ฆฌ์•ผ๋“œ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฆฌ์•ผ๋“œ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ฆฌ์•ผ๋“œ์—์„œ ๋„ํ•˜๋กœ ๋น„ํ–‰. 10-15์ผ์ฐจ: 6์ผ๊ฐ„ ๋„ํ•˜ ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋„ํ•˜์—์„œ ๋ฌด์Šค์นดํŠธ๋กœ ๋น„ํ–‰. 15-17์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฌด์Šค์นดํŠธ ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in Asia for a total of 17 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. In Muscat, you'll spend 3 days. In Kuwait City, Dubai, and Riyadh, you will spend 4 days each. On Day 2 of your trip, you have a dinner date with a friend at a department store in the center of Kuwait City. On day 8 of your trip, you plan to attend the eSports World Cup in Riyadh. You'll spend 6 days in Doha. You need to attend a conference on days 14 and 15 in Doha. Here are the cities that have direct flights: Riyadh and Dubai, Riyadh and Doha, Dubai and Kuwait City, Doha and Muscat, Muscat and Dubai, Kuwait City and Riyadh. Plan a trip to visit five cities in 17 days with direct flights.
Days 1-4: Visit Kuwait City for 4 days. Day 4: Fly from Kuwait City to Dubai. Days 4-7: Visit Dubai for 4 days. Day 7: Fly from Dubai to Riyadh. Days 7-10: Visit Riyadh for 4 days. Day 10: Fly from Riyadh to Doha. Days 10-15: Visit Doha for 6 days. Day 15: Fly from Doha to Muscat. Days 15-17: Visit Muscat for 3 days.
๋ณ€์ˆ˜ ์ •์˜: M: ๋ฌด์Šค์นดํŠธ, K: ์ฟ ์›จ์ดํŠธ์‹œํ‹ฐ, D: ๋‘๋ฐ”์ด, R: ๋ฆฌ์•ผ๋“œ, Q: ๋„ํ•˜ a_M: ๋ฌด์Šค์นดํŠธ ๋„์ฐฉ์ผ, d_M: ๋ฌด์Šค์นดํŠธ ์ถœ๋ฐœ์ผ a_K: ์ฟ ์›จ์ดํŠธ์‹œํ‹ฐ ๋„์ฐฉ์ผ, d_K: ์ฟ ์›จ์ดํŠธ์‹œํ‹ฐ ์ถœ๋ฐœ์ผ a_D: ๋‘๋ฐ”์ด ๋„์ฐฉ์ผ, d_D: ๋‘๋ฐ”์ด ์ถœ๋ฐœ์ผ a_R: ๋ฆฌ์•ผ๋“œ ๋„์ฐฉ์ผ, d_R: ๋ฆฌ์•ผ๋“œ ์ถœ๋ฐœ์ผ a_Q: ๋„ํ•˜ ๋„์ฐฉ์ผ, d_Q: ๋„ํ•˜ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_M - a_M + 1 = 3 d_K - a_K + 1 = 4 d_D - a_D + 1 = 4 d_R - a_R + 1 = 4 d_Q - a_Q + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_M, d_K, d_D, d_R, d_Q) - min(a_M, a_K, a_D, a_R, a_Q) + 1 = 17 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_K โ‰ค 2 โ‰ค d_K a_R โ‰ค 8 โ‰ค d_R {14, 15} โІ [a_Q, d_Q] ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (R โ†” D), (R โ†” Q), (D โ†” K), (Q โ†” M), (M โ†” D), (K โ†” R) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์ฟ ์›จ์ดํŠธ์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์ฟ ์›จ์ดํŠธ์‹œํ‹ฐ์—์„œ ๋‘๋ฐ”์ด๋กœ ๋น„ํ–‰. 4-7์ผ์ฐจ: 4์ผ๊ฐ„ ๋‘๋ฐ”์ด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋‘๋ฐ”์ด์—์„œ ๋ฆฌ์•ผ๋“œ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฆฌ์•ผ๋“œ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ฆฌ์•ผ๋“œ์—์„œ ๋„ํ•˜๋กœ ๋น„ํ–‰. 10-15์ผ์ฐจ: 6์ผ๊ฐ„ ๋„ํ•˜ ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋„ํ•˜์—์„œ ๋ฌด์Šค์นดํŠธ๋กœ ๋น„ํ–‰. 15-17์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฌด์Šค์นดํŠธ ๋ฐฉ๋ฌธ.
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์ด 13์ผ ๋™์•ˆ ์•„์‹œ์•„ 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ชจ๋“  ๋„์‹œ๋Š” ๋™์ผํ•˜๊ฒŒ 3์ผ์”ฉ ๋จธ๋ฌผ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 4์ผ์ฐจ์—๋Š” ๊ธฐ์ž์™€์˜ ์ธํ„ฐ๋ทฐ๊ฐ€ ์˜ˆ์ •๋˜์–ด ์žˆ์–ด ๋ฐ˜๋“œ์‹œ ์‹œ์— ๋ฆฝ์— ๋จธ๋ฌผ๋Ÿฌ์•ผ ํ•ฉ๋‹ˆ๋‹ค. ์—ฌํ–‰์˜ ๋งˆ์ง€๋ง‰ ์ผ์ •์€ ๋ฐœ๋ฆฌ์—ฌ์•ผ ํ•ฉ๋‹ˆ๋‹ค. 8์ผ์ฐจ์— ์„ผํ† ์‚ฌ์—์„œ ์ฟ ํ‚นํด๋ž˜์Šค๋ฅผ ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฐœ๋ฆฌ์™€ ์„ธ๋ถ€, ๋ฐœ๋ฆฌ์™€ ์‹œ์— ๋ฆฝ, ๋ฐœ๋ฆฌ์™€ ์„ผํ† ์‚ฌ, ์„ธ๋ถ€์™€ ์„ผํ† ์‚ฌ, ์‹œ์— ๋ฆฝ๊ณผ ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ, ์‹œ์—ก๋ฆฝ๊ณผ ํ˜ธ์น˜๋ฏผ, ์„ผํ† ์‚ฌ์™€ ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 13์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ํ˜ธ์น˜๋ฏผ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ํ˜ธ์น˜๋ฏผ์—์„œ ์‹œ์— ๋ฆฝ์œผ๋กœ ๋น„ํ–‰. 3-5์ผ์ฐจ: 3์ผ๊ฐ„ ์‹œ์— ๋ฆฝ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์‹œ์— ๋ฆฝ์—์„œ ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ์—์„œ ์„ผํ† ์‚ฌ๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ์„ผํ† ์‚ฌ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์„ผํ† ์‚ฌ์—์„œ ์„ธ๋ถ€๋กœ ๋น„ํ–‰. 9-11์ผ์ฐจ: 3์ผ๊ฐ„ ์„ธ๋ถ€ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ์„ธ๋ถ€์—์„œ ๋ฐœ๋ฆฌ๋กœ ๋น„ํ–‰. 11-13์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฐœ๋ฆฌ ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in Asia for a total of 13 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You would like to stay in every city for the same 3 days. You must stay in Siem Reap on day 4 because you have an interview with a journalist scheduled. The last stop of your trip must be in Bali. You have a cooking class booked in Sentosa on day 8. Here are the cities that have direct flights: Bali and Cebu, Bali and Siem Reap, Bali and Sentosa, Cebu and Sentosa, Siem Reap and Johor Bahru, Siem Reap and Ho Chi Minh City, Sentosa and Johor Bahru. Plan a trip to visit six cities in 13 days with direct flights.
Days 1-3: Visit Ho Chi Minh City for 3 days. Day 3: Fly from Ho Chi Minh City to Siem Reap. Days 3-5: Visit Siem Reap for 3 days. Day 5: Fly from Siem Reap to Johor Bahru. Days 5-7: Visit Johor Bahru for 3 days. Day 7: Fly from Johor Bahru to Sentosa. Days 7-9: Visit Sentosa for 3 days. Day 9: Fly from Sentosa to Cebu. Days 9-11: Visit Cebu for 3 days. Day 11: Fly from Cebu to Bali. Days 11-13: Visit Bali for 3 days.
๋ณ€์ˆ˜ ์ •์˜: B: ๋ฐœ๋ฆฌ, C: ์„ธ๋ถ€, S: ์‹œ์— ๋ฆฝ, Se: ์„ผํ† ์‚ฌ, J: ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ, H: ํ˜ธ์น˜๋ฏผ a_B: ๋ฐœ๋ฆฌ ๋„์ฐฉ์ผ, d_B: ๋ฐœ๋ฆฌ ์ถœ๋ฐœ์ผ a_C: ์„ธ๋ถ€ ๋„์ฐฉ์ผ, d_C: ์„ธ๋ถ€ ์ถœ๋ฐœ์ผ a_S: ์‹œ์— ๋ฆฝ ๋„์ฐฉ์ผ, d_S: ์‹œ์— ๋ฆฝ ์ถœ๋ฐœ์ผ a_Se: ์„ผํ† ์‚ฌ ๋„์ฐฉ์ผ, d_Se: ์„ผํ† ์‚ฌ ์ถœ๋ฐœ์ผ a_J: ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ ๋„์ฐฉ์ผ, d_J: ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ ์ถœ๋ฐœ์ผ a_H: ํ˜ธ์น˜๋ฏผ ๋„์ฐฉ์ผ, d_H: ํ˜ธ์น˜๋ฏผ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_B - a_B + 1 = 3 d_C - a_C + 1 = 3 d_S - a_S + 1 = 3 d_Se - a_Se + 1 = 3 d_J - a_J + 1 = 3 d_H - a_H + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_B, d_C, d_S, d_Se, d_J, d_H) - min(a_B, a_C, a_S, a_Se, a_J, a_H) + 1 = 13 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_S โ‰ค 4 โ‰ค d_S a_Se โ‰ค 8 โ‰ค d_Se d_B = 13 ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (B โ†” C), (B โ†” S), (B โ†” Se), (C โ†” Se), (S โ†” J), (S โ†” H), (Se โ†” J) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ํ˜ธ์น˜๋ฏผ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ํ˜ธ์น˜๋ฏผ์—์„œ ์‹œ์— ๋ฆฝ์œผ๋กœ ๋น„ํ–‰. 3-5์ผ์ฐจ: 3์ผ๊ฐ„ ์‹œ์— ๋ฆฝ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์‹œ์— ๋ฆฝ์—์„œ ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์กฐํ˜ธ๋ฅด๋ฐ”๋ฃจ์—์„œ ์„ผํ† ์‚ฌ๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ์„ผํ† ์‚ฌ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์„ผํ† ์‚ฌ์—์„œ ์„ธ๋ถ€๋กœ ๋น„ํ–‰. 9-11์ผ์ฐจ: 3์ผ๊ฐ„ ์„ธ๋ถ€ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ์„ธ๋ถ€์—์„œ ๋ฐœ๋ฆฌ๋กœ ๋น„ํ–‰. 11-13์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฐœ๋ฆฌ ๋ฐฉ๋ฌธ.
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์ด 20์ผ ๋™์•ˆ ์•„์‹œ์•„ 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ํ™์ฝฉ ์—ฌํ–‰์„ ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 2์ผ์—๋Š” ํ™์ฝฉ ์—ฌํ–‰์„ ์‹œ์ž‘ํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ํ›„์ฟ ์˜ค์นด ์—ฌํ–‰์„ ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ํ›„์ฟ ์˜ค์นด ์—ฌํ–‰์€ 8์ผ์— ์‹œ์ž‘ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๋ฐ˜๋‘ฅ์„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 14์ผ์ฐจ์—๋Š” ๋ฐ˜๋‘ฅ์—์„œ ์ผ์ถœ ํˆฌ์–ด๋ฅผ ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ํƒ€์ด์ค‘์—์„œ๋Š” 2์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๋‚จ์€ ์ผ์ •์€ ๋ชจ๋‘ ๋ณด๋ผ์นด์ด์—์„œ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์ฒญ๋‘์—์„œ 4์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์ฒญ๋‘์™€ ํ™์ฝฉ, ์ฒญ๋‘์™€ ํ›„์ฟ ์˜ค์นด, ๋ฐ˜๋‘ฅ๊ณผ ํ›„์ฟ ์˜ค์นด, ๋ฐ˜๋‘ฅ๊ณผ ํƒ€์ด์ค‘, ๋ฐ˜๋‘ฅ๊ณผ ๋ณด๋ผ์นด์ด, ํƒ€์ด์ค‘๊ณผ ํ™์ฝฉ, ํƒ€์ด์ค‘๊ณผ ํ›„์ฟ ์˜ค์นด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 20์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ํƒ€์ด์ค‘ ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ํƒ€์ด์ค‘์—์„œ ํ™์ฝฉ์œผ๋กœ ๋น„ํ–‰. 2-5์ผ์ฐจ: 4์ผ๊ฐ„ ํ™์ฝฉ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ํ™์ฝฉ์—์„œ ์ฒญ๋‘๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ์ฒญ๋‘ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์ฒญ๋‘์—์„œ ํ›„์ฟ ์˜ค์นด๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ํ›„์ฟ ์˜ค์นด ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ํ›„์ฟ ์˜ค์นด์—์„œ ๋ฐ˜๋‘ฅ์œผ๋กœ ๋น„ํ–‰. 12-15์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฐ˜๋‘ฅ ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋ฐ˜๋‘ฅ์—์„œ ๋ณด๋ผ์นด์ด๋กœ ๋น„ํ–‰. 15-20์ผ์ฐจ: 6์ผ๊ฐ„ ๋ณด๋ผ์นด์ด ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in Asia for a total of 20 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will be traveling to Hong Kong for 4 days. On day 2, you want to start your trip to Hong Kong. You will be traveling in Fukuoka for 5 days. You will start your trip to Fukuoka on day 8. You will visit Bandung for 4 days. On day 14, you have a sunrise tour booked in Bandung. You want to spend 2 days in Taichung. The rest of your trip will be spent in Boracay. You want to spend 4 days in Chengdu. Here are the cities that have direct flights: Chengdu and Hong Kong, Chengdu and Fukuoka, Bandung and Fukuoka, Bandung and Taichung, Bandung and Boracay, Taichung and Hong Kong, Taichung and Fukuoka. Plan a trip to visit six cities in 20 days using direct flights.
Day 1-2: Visit Taichung for 2 days. Day 2: Fly from Taichung to Hong Kong. Days 2-5: Visit Hong Kong for 4 days. Day 5: Fly from Hong Kong to Chengdu. Days 5-8: Visit Chengdu for 4 days. Day 8: Fly from Chengdu to Fukuoka. Days 8-12: Visit Fukuoka for 5 days. Day 12: Fly from Fukuoka to Bandung. Days 12-15: Visit Bandung for 4 days. Day 15: Fly from Bandung to Boracay. Days 15-20: Visit Boracay for 6 days.
๋ณ€์ˆ˜ ์ •์˜: H: ํ™์ฝฉ, F: ํ›„์ฟ ์˜ค์นด, B: ๋ฐ˜๋‘ฅ, T: ํƒ€์ด์ค‘, P: ๋ณด๋ผ์นด์ด, C: ์ฒญ๋‘ a_H: ํ™์ฝฉ ๋„์ฐฉ์ผ, d_H: ํ™์ฝฉ ์ถœ๋ฐœ์ผ a_F: ํ›„์ฟ ์˜ค์นด ๋„์ฐฉ์ผ, d_F: ํ›„์ฟ ์˜ค์นด ์ถœ๋ฐœ์ผ a_B: ๋ฐ˜๋‘ฅ ๋„์ฐฉ์ผ, d_B: ๋ฐ˜๋‘ฅ ์ถœ๋ฐœ์ผ a_T: ํƒ€์ด์ค‘ ๋„์ฐฉ์ผ, d_T: ํƒ€์ด์ค‘ ์ถœ๋ฐœ์ผ a_P: ๋ณด๋ผ์นด์ด ๋„์ฐฉ์ผ, d_P: ๋ณด๋ผ์นด์ด ์ถœ๋ฐœ์ผ a_C: ์ฒญ๋‘ ๋„์ฐฉ์ผ, d_C: ์ฒญ๋‘ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_H - a_H + 1 = 4 d_F - a_F + 1 = 5 d_B - a_B + 1 = 4 d_T - a_T + 1 = 2 d_C - a_C + 1 = 4 d_P - a_P + 1 = 20 - (4 + 5 + 4 + 2 + 4) = 1 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_H, d_F, d_B, d_T, d_P, d_C) - min(a_H, a_F, a_B, a_T, a_P, a_C) + 1 = 20 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_H = 2 a_F = 8 14 โˆˆ [a_B, d_B] ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (C โ†” H), (C โ†” F), (B โ†” F), (B โ†” T), (B โ†” P), (T โ†” H), (T โ†” F) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ํƒ€์ด์ค‘ ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ํƒ€์ด์ค‘์—์„œ ํ™์ฝฉ์œผ๋กœ ๋น„ํ–‰. 2-5์ผ์ฐจ: 4์ผ๊ฐ„ ํ™์ฝฉ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ํ™์ฝฉ์—์„œ ์ฒญ๋‘๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ์ฒญ๋‘ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์ฒญ๋‘์—์„œ ํ›„์ฟ ์˜ค์นด๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ํ›„์ฟ ์˜ค์นด ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ํ›„์ฟ ์˜ค์นด์—์„œ ๋ฐ˜๋‘ฅ์œผ๋กœ ๋น„ํ–‰. 12-15์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฐ˜๋‘ฅ ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋ฐ˜๋‘ฅ์—์„œ ๋ณด๋ผ์นด์ด๋กœ ๋น„ํ–‰. 15-20์ผ์ฐจ: 6์ผ๊ฐ„ ๋ณด๋ผ์นด์ด ๋ฐฉ๋ฌธ.
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์ด 21์ผ ๋™์•ˆ ์•„์‹œ์•„ 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋‹ค๋ฅดํ•ญ์—์„œ 4์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์นด๋ผ์น˜, ๋ฒต๊ฐˆ๋ฃจ๋ฃจ, ๋ถ€ํ•˜๋ผ, ํŒŒ๋ธ”๋กœ๋‹ค๋ฅด์—์„œ ๋ชจ๋‘ 5์ผ์”ฉ ๋จธ๋ฌผ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 9์ผ์ฐจ์—๋Š” ๋ฒต๊ฐˆ๋ฃจ๋ฃจ์—์„œ ์ง„ํ–‰๋˜๋Š” ์•„์‹œ์•„ ์ตœ๋Œ€์˜ IT ํด๋Ÿฌ์Šคํ„ฐ ์„ธ๋ฏธ๋‚˜์— ์ฐธ์„ํ•ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. ๋งˆ์ง€๋ง‰ ์—ฌํ–‰์ง€๋Š” ํŒŒ๋ธ”๋กœ๋‹ค๋ฅด์—ฌ์•ผ ํ•ฉ๋‹ˆ๋‹ค. ์นด๋ถˆ์€ 2์ผ๊ฐ„ ๋จธ๋ฌผ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์นด๋ถˆ์ด ์ „์ฒด ์ผ์ • ์ค‘ ๋‘ ๋ฒˆ์งธ ์—ฌํ–‰์ง€์ด๋ฉด ์ข‹๊ฒ ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฒต๊ฐˆ๋ฃจ๋ฃจ์™€ ์นด๋ถˆ, ๋‹ค๋ฅดํ•ญ๊ณผ ์นด๋ถˆ, ํŒŒ๋ธ”๋กœ๋‹ค๋ฅด์™€ ์นด๋ถˆ, ์นด๋ผ์น˜์™€ ์นด๋ถˆ, ํŒŒ๋ธ”๋กœ๋‹ค๋ฅด์™€ ๋ถ€ํ•˜๋ผ, ๋ฒต๊ฐˆ๋ฃจ๋ฃจ์™€ ๋ถ€ํ•˜๋ผ, ๋ฒต๊ฐˆ๋ฃจ๋ฃจ์™€ ์นด๋ผ์น˜. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 21์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋‹ค๋ฅดํ•ญ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋‹ค๋ฅดํ•ญ์—์„œ ์นด๋ถˆ๋กœ ๋น„ํ–‰. 4-5์ผ์ฐจ: 2์ผ๊ฐ„ ์นด๋ถˆ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์นด๋ถˆ์—์„œ ์นด๋ผ์น˜๋กœ ๋น„ํ–‰. 5-9์ผ์ฐจ: 5์ผ๊ฐ„ ์นด๋ผ์น˜ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์นด๋ผ์น˜์—์„œ ๋ฒต๊ฐˆ๋ฃจ๋ฃจ๋กœ ๋น„ํ–‰. 9-13์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฒต๊ฐˆ๋ฃจ๋ฃจ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋ฒต๊ฐˆ๋ฃจ๋ฃจ์—์„œ ๋ถ€ํ•˜๋ผ๋กœ ๋น„ํ–‰. 13-17์ผ์ฐจ: 5์ผ๊ฐ„ ๋ถ€ํ•˜๋ผ ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ๋ถ€ํ•˜๋ผ์—์„œ ํŒŒ๋ธ”๋กœ๋‹ค๋ฅด๋กœ ๋น„ํ–‰. 17-21์ผ์ฐจ: 5์ผ๊ฐ„ ํŒŒ๋ธ”๋กœ๋‹ค๋ฅด ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in Asia for a total of 21 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will spend 4 days in Darkhan. You want to spend 5 days each in Karachi, Bengaluru, Bukhara, and Pavlodar. On day 9, you need to attend Asia's largest IT cluster seminar in Bengaluru. The last stop should be Pavlodar. You want to stay in Kabul for 2 days. You would like Kabul to be the second destination of the entire itinerary. Here are the cities that have direct flights: Bengaluru and Kabul, Darkhan and Kabul, Pavlodar and Kabul, Karachi and Kabul, Pavlodar and Bukhara, Bengaluru and Bukhara, Bengaluru and Karachi. Plan a trip to visit six cities in 21 days with direct flights.
Days 1-4: Visit Darkhan for 4 days. Day 4: Fly from Darkhan to Kabul. Days 4-5: Visit Kabul for 2 days. Day 5: Fly from Kabul to Karachi. Days 5-9: Visit Karachi for 5 days. Day 9: Fly from Karachi to Bengaluru. Days 9-13: Visit Bengaluru for 5 days. Day 13: Fly from Bengaluru to Bukhara. Days 13-17: Visit Bukhara for 5 days. Day 17: Fly from Bukhara to Pavlodar. Days 17-21: Visit Pavlodar for 5 days.
๋ณ€์ˆ˜ ์ •์˜: D: ๋‹ค๋ฅดํ•ญ, K: ์นด๋ผ์น˜, B: ๋ฒต๊ฐˆ๋ฃจ๋ฃจ, U: ๋ถ€ํ•˜๋ผ, P: ํŒŒ๋ธ”๋กœ๋‹ค๋ฅด, A: ์นด๋ถˆ a_D: ๋‹ค๋ฅดํ•ญ ๋„์ฐฉ์ผ, d_D: ๋‹ค๋ฅดํ•ญ ์ถœ๋ฐœ์ผ a_K: ์นด๋ผ์น˜ ๋„์ฐฉ์ผ, d_K: ์นด๋ผ์น˜ ์ถœ๋ฐœ์ผ a_B: ๋ฒต๊ฐˆ๋ฃจ๋ฃจ ๋„์ฐฉ์ผ, d_B: ๋ฒต๊ฐˆ๋ฃจ๋ฃจ ์ถœ๋ฐœ์ผ a_U: ๋ถ€ํ•˜๋ผ ๋„์ฐฉ์ผ, d_U: ๋ถ€ํ•˜๋ผ ์ถœ๋ฐœ์ผ a_P: ํŒŒ๋ธ”๋กœ๋‹ค๋ฅด ๋„์ฐฉ์ผ, d_P: ํŒŒ๋ธ”๋กœ๋‹ค๋ฅด ์ถœ๋ฐœ์ผ a_A: ์นด๋ถˆ ๋„์ฐฉ์ผ, d_A: ์นด๋ถˆ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_D - a_D + 1 = 4 d_K - a_K + 1 = 5 d_B - a_B + 1 = 5 d_U - a_U + 1 = 5 d_P - a_P + 1 = 5 d_A - a_A + 1 = 2 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_D, d_K, d_B, d_U, d_P, d_A) - min(a_D, a_K, a_B, a_U, a_P, a_A) + 1 = 21 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_B โ‰ค 9 โ‰ค d_B d_P = 21 min(a_D, a_K, a_B, a_U, a_P) < a_A < max(a_D, a_K, a_B, a_U, a_P) ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (B โ†” A), (D โ†” A), (P โ†” A), (K โ†” A), (P โ†” U), (B โ†” U), (B โ†” K) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋‹ค๋ฅดํ•ญ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋‹ค๋ฅดํ•ญ์—์„œ ์นด๋ถˆ๋กœ ๋น„ํ–‰. 4-5์ผ์ฐจ: 2์ผ๊ฐ„ ์นด๋ถˆ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์นด๋ถˆ์—์„œ ์นด๋ผ์น˜๋กœ ๋น„ํ–‰. 5-9์ผ์ฐจ: 5์ผ๊ฐ„ ์นด๋ผ์น˜ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์นด๋ผ์น˜์—์„œ ๋ฒต๊ฐˆ๋ฃจ๋ฃจ๋กœ ๋น„ํ–‰. 9-13์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฒต๊ฐˆ๋ฃจ๋ฃจ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋ฒต๊ฐˆ๋ฃจ๋ฃจ์—์„œ ๋ถ€ํ•˜๋ผ๋กœ ๋น„ํ–‰. 13-17์ผ์ฐจ: 5์ผ๊ฐ„ ๋ถ€ํ•˜๋ผ ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ๋ถ€ํ•˜๋ผ์—์„œ ํŒŒ๋ธ”๋กœ๋‹ค๋ฅด๋กœ ๋น„ํ–‰. 17-21์ผ์ฐจ: 5์ผ๊ฐ„ ํŒŒ๋ธ”๋กœ๋‹ค๋ฅด ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 20์ผ ๋™์•ˆ ์•„์‹œ์•„ 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋งˆ์นด์˜ค์—์„œ ์—ฌํ–‰์„ ์‹œ์ž‘ํ• ๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๋งˆ์นด์˜ค์—์„œ ์ด 3์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๋ฃจ์•™ํ”„๋ผ๋ฐฉ์—์„œ๋Š” 5์ผ์„ ๋จธ๋ฌผ๋Ÿฌ์•ผ ํ•ฉ๋‹ˆ๋‹ค. ๋‹ค๋ฐ”์˜ค์—์„œ๋„ 5์ผ์„ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์—ฌํ–‰ 6์ผ์ฐจ์— ๋‹ค๋ฐ”์˜ค์— ์ž…๊ตญํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๊ฐ€์˜ค์Š์—์„œ๋Š” 2์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 10์ผ์ฐจ์—๋Š” ๊ฐ€์˜ค์Š์—์„œ ํŒจ๋Ÿฌ๊ธ€๋ผ์ด๋”ฉ์„ ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ํ•˜์ดํ์—์„œ๋Š” 4์ผ์„ ์ง€๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ํ™์ฝฉ ์—ฌํ–‰์€ ์ด 6์ผ๋กœ ๊ณ„ํšํ•˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํ™์ฝฉ๊ณผ ๋ฃจ์•™ํ”„๋ผ๋ฐฉ, ํ™์ฝฉ๊ณผ ๊ฐ€์˜ค์Š, ํ™์ฝฉ๊ณผ ๋งˆ์นด์˜ค, ๋งˆ์นด์˜ค์™€ ํ•˜์ดํ, ๋งˆ์นด์˜ค์™€ ๋‹ค๋ฐ”์˜ค, ๊ฐ€์˜ค์Š๊ณผ ๋‹ค๋ฐ”์˜ค, ๋‹ค๋ฐ”์˜ค์™€ ํ•˜์ดํ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 20์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋งˆ์นด์˜ค ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋งˆ์นด์˜ค์—์„œ ํ•˜์ดํ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ํ•˜์ดํ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ํ•˜์ดํ์—์„œ ๋‹ค๋ฐ”์˜ค๋กœ ๋น„ํ–‰. 6-10์ผ์ฐจ: 5์ผ๊ฐ„ ๋‹ค๋ฐ”์˜ค ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋‹ค๋ฐ”์˜ค์—์„œ ๊ฐ€์˜ค์Š์œผ๋กœ ๋น„ํ–‰. 10-11์ผ์ฐจ: 2์ผ๊ฐ„ ๊ฐ€์˜ค์Š ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๊ฐ€์˜ค์Š์—์„œ ํ™์ฝฉ์œผ๋กœ ๋น„ํ–‰. 11-16์ผ์ฐจ: 6์ผ๊ฐ„ ํ™์ฝฉ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ํ™์ฝฉ์—์„œ ๋ฃจ์•™ํ”„๋ผ๋ฐฉ์œผ๋กœ ๋น„ํ–‰. 16-20์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฃจ์•™ํ”„๋ผ๋ฐฉ ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in Asia for a total of 20 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to start your trip in Macau. You'll spend a total of 3 days in Macau. You'll spend 5 days in Luang Prabang. You'll also spend 5 days in Davao. You want to enter Davao on day 6 of your trip. You'll spend 2 days in Kaohsiung. You've booked paragliding in Kaohsiung on day 10. You'll spend 4 days in HaiPhong. You plan to spend a total of 6 days in Hong Kong. Here are the cities that have direct flights: Hong Kong and Luang Prabang, Hong Kong and Kaohsiung, Hong Kong and Macau, Macau and Haiphong, Macau and Davao, Kaohsiung and Davao, Davao and Haiphong. Plan a trip to visit six cities in 20 days with direct flights.
Days 1-3: Visit Macau for 3 days. Day 3: Fly from Macau to HaiPhong. Days 3-6: Visit HaiPhong for 4 days. Day 6: Fly from HaiPhong to Davao. Days 6-10: Visit Davao for 5 days. Day 10: Fly from Davao to Kaohsiung. Days 10-11: Visit Kaohsiung for 2 days. Day 11: Fly from Kaohsiung to Hong Kong. Days 11-16: Visit Hong Kong for 6 days. Day 16: Fly from Hong Kong to Luang Prabang. Days 16-20: Visit Luang Prabang for 5 days.
๋ณ€์ˆ˜ ์ •์˜: M: ๋งˆ์นด์˜ค, L: ๋ฃจ์•™ํ”„๋ผ๋ฐฉ, D: ๋‹ค๋ฐ”์˜ค, K: ๊ฐ€์˜ค์Š, H: ํ•˜์ดํ, G: ํ™์ฝฉ a_M: ๋งˆ์นด์˜ค ๋„์ฐฉ์ผ, d_M: ๋งˆ์นด์˜ค ์ถœ๋ฐœ์ผ a_L: ๋ฃจ์•™ํ”„๋ผ๋ฐฉ ๋„์ฐฉ์ผ, d_L: ๋ฃจ์•™ํ”„๋ผ๋ฐฉ ์ถœ๋ฐœ์ผ a_D: ๋‹ค๋ฐ”์˜ค ๋„์ฐฉ์ผ, d_D: ๋‹ค๋ฐ”์˜ค ์ถœ๋ฐœ์ผ a_K: ๊ฐ€์˜ค์Š ๋„์ฐฉ์ผ, d_K: ๊ฐ€์˜ค์Š ์ถœ๋ฐœ์ผ a_H: ํ•˜์ดํ ๋„์ฐฉ์ผ, d_H: ํ•˜์ดํ ์ถœ๋ฐœ์ผ a_G: ํ™์ฝฉ ๋„์ฐฉ์ผ, d_G: ํ™์ฝฉ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_M - a_M + 1 = 3 d_L - a_L + 1 = 5 d_D - a_D + 1 = 5 d_K - a_K + 1 = 2 d_H - a_H + 1 = 4 d_G - a_G + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_M, d_L, d_D, d_K, d_H, d_G) - min(a_M, a_L, a_D, a_K, a_H, a_G) + 1 = 20 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_M = 1 a_D = 6 10 โˆˆ [a_K, d_K] ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (G โ†” L), (G โ†” K), (G โ†” M), (M โ†” H), (M โ†” D), (K โ†” D), (D โ†” H) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋งˆ์นด์˜ค ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋งˆ์นด์˜ค์—์„œ ํ•˜์ดํ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ํ•˜์ดํ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ํ•˜์ดํ์—์„œ ๋‹ค๋ฐ”์˜ค๋กœ ๋น„ํ–‰. 6-10์ผ์ฐจ: 5์ผ๊ฐ„ ๋‹ค๋ฐ”์˜ค ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋‹ค๋ฐ”์˜ค์—์„œ ๊ฐ€์˜ค์Š์œผ๋กœ ๋น„ํ–‰. 10-11์ผ์ฐจ: 2์ผ๊ฐ„ ๊ฐ€์˜ค์Š ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๊ฐ€์˜ค์Š์—์„œ ํ™์ฝฉ์œผ๋กœ ๋น„ํ–‰. 11-16์ผ์ฐจ: 6์ผ๊ฐ„ ํ™์ฝฉ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ํ™์ฝฉ์—์„œ ๋ฃจ์•™ํ”„๋ผ๋ฐฉ์œผ๋กœ ๋น„ํ–‰. 16-20์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฃจ์•™ํ”„๋ผ๋ฐฉ ๋ฐฉ๋ฌธ.
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3
์ง์ ‘ ์ƒ์„ฑ
์ด 12์ผ ๋™์•ˆ ์•„์‹œ์•„ 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ํ‰์–‘์—์„œ 4์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์šธ๋ž€๋ฐ”ํ† ๋ฅด์— 3์ผ๊ฐ„ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ฒ ์ด์ง•์—์„œ 7์ผ ๋™์•ˆ ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 10์ผ์— ์šธ๋ž€๋ฐ”ํ† ๋ฅด์—์„œ ๋น„์ฆˆ๋‹ˆ์Šค ๋ฏธํŒ…์ด ์žˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฒ ์ด์ง•๊ณผ ํ‰์–‘, ์šธ๋ž€๋ฐ”ํ† ๋ฅด์™€ ๋ฒ ์ด์ง•. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 12์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ํ‰์–‘ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํ‰์–‘์—์„œ ๋ฒ ์ด์ง•์œผ๋กœ ๋น„ํ–‰. 4-10์ผ์ฐจ: 7์ผ๊ฐ„ ๋ฒ ์ด์ง• ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ฒ ์ด์ง•์—์„œ ์šธ๋ž€๋ฐ”ํ† ๋ฅด๋กœ ๋น„ํ–‰. 10-12์ผ์ฐจ: 3์ผ๊ฐ„ ์šธ๋ž€๋ฐ”ํ† ๋ฅด ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in Asia for a total of 12 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 4 days in Pyongyang. You will be in Ulaanbaatar for 3 days. You will be in Beijing for 7 days. You have a business meeting in Ulaanbaatar on the 10th. Here are the cities that have direct flights: Beijing and Pyongyang, Ulaanbaatar and Beijing. Plan a trip to visit three cities in 12 days using direct flights.
Days 1-4: Visit Pyongyang for 4 days. Day 4: Fly from Pyongyang to Beijing. Days 4-10: Visit Beijing for 7 days. Day 10: Fly from Beijing to Ulaanbaatar. Days 10-12: Visit Ulaanbaatar for 3 days.
๋ณ€์ˆ˜ ์ •์˜: P: ํ‰์–‘, U: ์šธ๋ž€๋ฐ”ํ† ๋ฅด, B: ๋ฒ ์ด์ง• a_P: ํ‰์–‘ ๋„์ฐฉ์ผ, d_P: ํ‰์–‘ ์ถœ๋ฐœ์ผ a_U: ์šธ๋ž€๋ฐ”ํ† ๋ฅด ๋„์ฐฉ์ผ, d_U: ์šธ๋ž€๋ฐ”ํ† ๋ฅด ์ถœ๋ฐœ์ผ a_B: ๋ฒ ์ด์ง• ๋„์ฐฉ์ผ, d_B: ๋ฒ ์ด์ง• ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_P - a_P + 1 = 4 d_U - a_U + 1 = 3 d_B - a_B + 1 = 7 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_P, d_U, d_B) - min(a_P, a_U, a_B) + 1 = 12 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_U โ‰ค 10 โ‰ค d_U ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (B โ†” P), (U โ†” B) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ํ‰์–‘ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํ‰์–‘์—์„œ ๋ฒ ์ด์ง•์œผ๋กœ ๋น„ํ–‰. 4-10์ผ์ฐจ: 7์ผ๊ฐ„ ๋ฒ ์ด์ง• ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ฒ ์ด์ง•์—์„œ ์šธ๋ž€๋ฐ”ํ† ๋ฅด๋กœ ๋น„ํ–‰. 10-12์ผ์ฐจ: 3์ผ๊ฐ„ ์šธ๋ž€๋ฐ”ํ† ๋ฅด ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 15์ผ ๋™์•ˆ ์•„์‹œ์•„ 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ํ™์ฝฉ์—์„œ 6์ผ์„ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์—ฌํ–‰ 3-4์ผ ์ฐจ์— ํ™์ฝฉ์—์„œ ์‡ผํ•‘์„ ํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ํƒ€์ด์ค‘์— ์žˆ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ๋Œ€๊ตฌ์—์„œ 3์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ๋งˆ์นด์˜ค์—์„œ ์—ฌํ–‰์„ ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํƒ€์ด์ค‘๊ณผ ๋งˆ์นด์˜ค, ํ™์ฝฉ๊ณผ ๋Œ€๊ตฌ, ํ™์ฝฉ๊ณผ ๋งˆ์นด์˜ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 15์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋Œ€๊ตฌ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋Œ€๊ตฌ์—์„œ ํ™์ฝฉ์œผ๋กœ ๋น„ํ–‰. 3-8์ผ์ฐจ: 6์ผ๊ฐ„ ํ™์ฝฉ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํ™์ฝฉ์—์„œ ๋งˆ์นด์˜ค๋กœ ๋น„ํ–‰. 8-11์ผ์ฐจ: 4์ผ๊ฐ„ ๋งˆ์นด์˜ค ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋งˆ์นด์˜ค์—์„œ ํƒ€์ด์ค‘์œผ๋กœ ๋น„ํ–‰. 11-15์ผ์ฐจ: 5์ผ๊ฐ„ ํƒ€์ด์ค‘ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in Asia for a total of 15 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You plan to spend 6 days in Hong Kong. You want to do some shopping in Hong Kong on days 3-4 of your trip. You want to be in Taichung for 5 days. You want to spend 3 days in Daegu. You'll spend 4 days traveling in Macau. Here are the cities that have direct flights: Taichung and Macau, Hong Kong and Daegu, Hong Kong and Macau. Plan a trip to visit the four cities in 15 days using direct flights.
Days 1-3: Visit Daegu for 3 days. Day 3: Fly from Daegu to Hong Kong. Days 3-8: Visit Hong Kong for 6 days. Day 8: Fly from Hong Kong to Macau. Days 8-11: Visit Macau for 4 days. Day 11: Fly from Macau to Taichung. Days 11-15: Visit Taichung for 5 days.
๋ณ€์ˆ˜ ์ •์˜: H: ํ™์ฝฉ, T: ํƒ€์ด์ค‘, D: ๋Œ€๊ตฌ, M: ๋งˆ์นด์˜ค a_H: ํ™์ฝฉ ๋„์ฐฉ์ผ, d_H: ํ™์ฝฉ ์ถœ๋ฐœ์ผ a_T: ํƒ€์ด์ค‘ ๋„์ฐฉ์ผ, d_T: ํƒ€์ด์ค‘ ์ถœ๋ฐœ์ผ a_D: ๋Œ€๊ตฌ ๋„์ฐฉ์ผ, d_D: ๋Œ€๊ตฌ ์ถœ๋ฐœ์ผ a_M: ๋งˆ์นด์˜ค ๋„์ฐฉ์ผ, d_M: ๋งˆ์นด์˜ค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_H - a_H + 1 = 6 d_T - a_T + 1 = 5 d_D - a_D + 1 = 3 d_M - a_M + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_H, d_T, d_D, d_M) - min(a_H, a_T, a_D, a_M) + 1 = 15 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: {3, 4} โІ [a_H, d_H] ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (T โ†” M), (H โ†” D), (H โ†” M) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋Œ€๊ตฌ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋Œ€๊ตฌ์—์„œ ํ™์ฝฉ์œผ๋กœ ๋น„ํ–‰. 3-8์ผ์ฐจ: 6์ผ๊ฐ„ ํ™์ฝฉ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํ™์ฝฉ์—์„œ ๋งˆ์นด์˜ค๋กœ ๋น„ํ–‰. 8-11์ผ์ฐจ: 4์ผ๊ฐ„ ๋งˆ์นด์˜ค ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋งˆ์นด์˜ค์—์„œ ํƒ€์ด์ค‘์œผ๋กœ ๋น„ํ–‰. 11-15์ผ์ฐจ: 5์ผ๊ฐ„ ํƒ€์ด์ค‘ ๋ฐฉ๋ฌธ.
135
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5
์ง์ ‘ ์ƒ์„ฑ
์ด 18์ผ ๋™์•ˆ ์•„์‹œ์•„ 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ๋ฐœ๋ฆฌ์—์„œ ๋จธ๋ฌผ๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๊ตํ† ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋ ค ํ•ฉ๋‹ˆ๋‹ค. ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„์—์„œ 3์ผ์„ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๊ฐ€์˜ค์Š์—์„œ 4์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ณผ 7์ผ ์‚ฌ์ด์—๋Š” ๊ฐ€์˜ค์Š์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ์„ธ๋ถ€๋ฅผ ๋ฐฉ๋ฌธํ•˜๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„์™€ ๋ฐœ๋ฆฌ, ๊ฐ€์˜ค์Š๊ณผ ๊ตํ† , ์„ธ๋ถ€์™€ ๋ฐœ๋ฆฌ, ์„ธ๋ถ€์™€ ๊ฐ€์˜ค์Š. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 18์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๊ตํ†  ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๊ตํ† ์—์„œ ๊ฐ€์˜ค์Š์œผ๋กœ ๋น„ํ–‰. 4-7์ผ์ฐจ: 4์ผ๊ฐ„ ๊ฐ€์˜ค์Š ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๊ฐ€์˜ค์Š์—์„œ ์„ธ๋ถ€๋กœ ๋น„ํ–‰. 7-11์ผ์ฐจ: 5์ผ๊ฐ„ ์„ธ๋ถ€ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ์„ธ๋ถ€์—์„œ ๋ฐœ๋ฆฌ๋กœ ๋น„ํ–‰. 11-16์ผ์ฐจ: 6์ผ๊ฐ„ ๋ฐœ๋ฆฌ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ๋ฐœ๋ฆฌ์—์„œ ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„์œผ๋กœ ๋น„ํ–‰. 16-18์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„ ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in Asia for a total of 18 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 6 days in Bali. You'll visit Kyoto for 4 days. You'll spend 3 days in Bandar Seri Begawan. You'll spend 4 days in Kaohsiung. You'll be in Kaohsiung between days 4 and 7. You're planning to visit Cebu for 5 days. Here are the cities that have direct flights: Bandar Seri Begawan and Bali, Kaohsiung and Kyoto, Cebu and Bali, Cebu and Kaohsiung. Plan a trip to visit five cities in 18 days using direct flights.
Days 1-4: Visit Kyoto for 4 days. Day 4: Fly from Kyoto to Kaohsiung. Days 4-7: Visit Kaohsiung for 4 days. Day 7: Fly from Kaohsiung to Cebu. Days 7-11: Visit Cebu for 5 days. Day 11: Fly from Cebu to Bali. Days 11-16: Visit Bali for 6 days. Day 16: Fly from Bali to Bandar Seri Begawan. Days 16-18: Visit Bandar Seri Begawan for 3 days.
๋ณ€์ˆ˜ ์ •์˜: B: ๋ฐœ๋ฆฌ, K: ๊ตํ† , S: ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„, G: ๊ฐ€์˜ค์Š, C: ์„ธ๋ถ€ a_B: ๋ฐœ๋ฆฌ ๋„์ฐฉ์ผ, d_B: ๋ฐœ๋ฆฌ ์ถœ๋ฐœ์ผ a_K: ๊ตํ†  ๋„์ฐฉ์ผ, d_K: ๊ตํ†  ์ถœ๋ฐœ์ผ a_S: ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„ ๋„์ฐฉ์ผ, d_S: ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„ ์ถœ๋ฐœ์ผ a_G: ๊ฐ€์˜ค์Š ๋„์ฐฉ์ผ, d_G: ๊ฐ€์˜ค์Š ์ถœ๋ฐœ์ผ a_C: ์„ธ๋ถ€ ๋„์ฐฉ์ผ, d_C: ์„ธ๋ถ€ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_B - a_B + 1 = 6 d_K - a_K + 1 = 4 d_S - a_S + 1 = 3 d_G - a_G + 1 = 4 d_C - a_C + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_B, d_K, d_S, d_G, d_C) - min(a_B, a_K, a_S, a_G, a_C) + 1 = 18 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [4, 7] โˆฉ [a_G, d_G] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (S โ†” B), (G โ†” K), (C โ†” B), (C โ†” G) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๊ตํ†  ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๊ตํ† ์—์„œ ๊ฐ€์˜ค์Š์œผ๋กœ ๋น„ํ–‰. 4-7์ผ์ฐจ: 4์ผ๊ฐ„ ๊ฐ€์˜ค์Š ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๊ฐ€์˜ค์Š์—์„œ ์„ธ๋ถ€๋กœ ๋น„ํ–‰. 7-11์ผ์ฐจ: 5์ผ๊ฐ„ ์„ธ๋ถ€ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ์„ธ๋ถ€์—์„œ ๋ฐœ๋ฆฌ๋กœ ๋น„ํ–‰. 11-16์ผ์ฐจ: 6์ผ๊ฐ„ ๋ฐœ๋ฆฌ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ๋ฐœ๋ฆฌ์—์„œ ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„์œผ๋กœ ๋น„ํ–‰. 16-18์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฐ˜๋‹ค๋ฅด์„ธ๋ฆฌ๋ฒ ๊ฐ€์™„ ๋ฐฉ๋ฌธ.
136
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6
์ง์ ‘ ์ƒ์„ฑ
์ด 19์ผ ๋™์•ˆ ์•„์‹œ์•„ 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋งŒ๋‹ฌ๋ ˆ์ด์—์„œ 3์ผ์„ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ๋ญ„๋ฐ”์ด๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ํŒŒํƒ€์•ผ์—์„œ ์—ฌํ–‰์„ ์ฆ๊ธฐ๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 11-16์ผ ์‚ฌ์ด์— ํŒŒํƒ€์•ผ์—์„œ ํœด์–‘์„ ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ์€ ๋‹ค์นด์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์ฝ”์ฝฉ์—์„œ 4์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ฃจ์•™ํ”„๋ผ๋ฐฉ์—์„œ 3์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฃจ์•™ํ”„๋ผ๋ฐฉ๊ณผ ๋งŒ๋‹ฌ๋ ˆ์ด, ๋‹ค์นด์™€ ๋งŒ๋‹ฌ๋ ˆ์ด, ์ฝ”์ฝฉ๊ณผ ํŒŒํƒ€์•ผ, ๋ญ„๋ฐ”์™€ ๋‹ค์นด, ๋ฃจ์•™ํ”„๋ผ๋ฐฉ๊ณผ ํŒŒํƒ€์•ผ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 19์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋ญ„๋ฐ”์ด ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ญ„๋ฐ”์ด์—์„œ ๋‹ค์นด๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ๋‹ค์นด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋‹ค์นด์—์„œ ๋งŒ๋‹ฌ๋ ˆ์ด๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ๋งŒ๋‹ฌ๋ ˆ์ด ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋งŒ๋‹ฌ๋ ˆ์ด์—์„œ ๋ฃจ์•™ํ”„๋ผ๋ฐฉ์œผ๋กœ ๋น„ํ–‰. 9-11์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฃจ์•™ํ”„๋ผ๋ฐฉ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋ฃจ์•™ํ”„๋ผ๋ฐฉ์—์„œ ํŒŒํƒ€์•ผ๋กœ ๋น„ํ–‰. 11-16์ผ์ฐจ: 6์ผ๊ฐ„ ํŒŒํƒ€์•ผ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ํŒŒํƒ€์•ผ์—์„œ ์ฝ”์ฝฉ์œผ๋กœ ๋น„ํ–‰. 16-19์ผ์ฐจ: 4์ผ๊ฐ„ ์ฝ”์ฝฉ ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in Asia for a total of 19 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 3 days in Mandalay. You'll visit Mumbai for 5 days. You'll spend 6 days in Pattaya. Between 11-16, you'll be in Pattaya for a vacation. For 3 days, you'll be in Dhaka. You will spend 4 days in Koh Kong. You want to spend 3 days in Luang Prabang. Here are the cities that have direct flights: Luang Prabang and Mandalay, Dhaka and Mandalay, Koh Kong and Pattaya, Mumbai and Dhaka, Luang Prabang and Pattaya. Plan a trip to visit six cities in 19 days using direct flights.
Days 1-5: Visit Mumbai for 5 days. Day 5: Fly from Mumbai to Dhaka. Days 5-7: Visit Dhaka for 3 days. Day 7: Fly from Dhaka to Mandalay. Days 7-9: Visit Mandalay for 3 days. Day 9: Fly from Mandalay to Luang Prabang. Days 9-11: Visit Luang Prabang for 3 days. Day 11: Fly from Luang Prabang to Pattaya. Days 11-16: Visit Pattaya for 6 days. Day 16: Fly from Pattaya to Koh Kong. Days 16-19: Visit Koh Kong for 4 days.
๋ณ€์ˆ˜ ์ •์˜: M: ๋งŒ๋‹ฌ๋ ˆ์ด, B: ๋ญ„๋ฐ”์ด, P: ํŒŒํƒ€์•ผ, D: ๋‹ค์นด, K: ์ฝ”์ฝฉ, L: ๋ฃจ์•™ํ”„๋ผ๋ฐฉ a_M: ๋งŒ๋‹ฌ๋ ˆ์ด ๋„์ฐฉ์ผ, d_M: ๋งŒ๋‹ฌ๋ ˆ์ด ์ถœ๋ฐœ์ผ a_B: ๋ญ„๋ฐ”์ด ๋„์ฐฉ์ผ, d_B: ๋ญ„๋ฐ”์ด ์ถœ๋ฐœ์ผ a_P: ํŒŒํƒ€์•ผ ๋„์ฐฉ์ผ, d_P: ํŒŒํƒ€์•ผ ์ถœ๋ฐœ์ผ a_D: ๋‹ค์นด ๋„์ฐฉ์ผ, d_D: ๋‹ค์นด ์ถœ๋ฐœ์ผ a_K: ์ฝ”์ฝฉ ๋„์ฐฉ์ผ, d_K: ์ฝ”์ฝฉ ์ถœ๋ฐœ์ผ a_L: ๋ฃจ์•™ํ”„๋ผ๋ฐฉ ๋„์ฐฉ์ผ, d_L: ๋ฃจ์•™ํ”„๋ผ๋ฐฉ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_M - a_M + 1 = 3 d_B - a_B + 1 = 5 d_P - a_P + 1 = 6 d_D - a_D + 1 = 3 d_K - a_K + 1 = 4 d_L - a_L + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_M, d_B, d_P, d_D, d_K, d_L) - min(a_M, a_B, a_P, a_D, a_K, a_L) + 1 = 19 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [11, 16] โˆฉ [a_P, d_P] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (L โ†” M), (D โ†” M), (K โ†” P), (B โ†” D), (L โ†” P) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋ญ„๋ฐ”์ด ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ญ„๋ฐ”์ด์—์„œ ๋‹ค์นด๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ๋‹ค์นด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋‹ค์นด์—์„œ ๋งŒ๋‹ฌ๋ ˆ์ด๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ๋งŒ๋‹ฌ๋ ˆ์ด ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋งŒ๋‹ฌ๋ ˆ์ด์—์„œ ๋ฃจ์•™ํ”„๋ผ๋ฐฉ์œผ๋กœ ๋น„ํ–‰. 9-11์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฃจ์•™ํ”„๋ผ๋ฐฉ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋ฃจ์•™ํ”„๋ผ๋ฐฉ์—์„œ ํŒŒํƒ€์•ผ๋กœ ๋น„ํ–‰. 11-16์ผ์ฐจ: 6์ผ๊ฐ„ ํŒŒํƒ€์•ผ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ํŒŒํƒ€์•ผ์—์„œ ์ฝ”์ฝฉ์œผ๋กœ ๋น„ํ–‰. 16-19์ผ์ฐจ: 4์ผ๊ฐ„ ์ฝ”์ฝฉ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 10์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์—ฅ์ปค๋ฆฌ์ง€์—์„œ 3์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 5์ผ ๋™์•ˆ ์‹œ์• ํ‹€์— ์žˆ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ๋ฒค์ฟ ๋ฒ„์— ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 3-5์ผ ์‚ฌ์ด์—๋Š” ๋ฒค์ฟ ๋ฒ„์— ์žˆ๋Š” ์นœ์ฒ™์ง‘์—์„œ ๋จธ๋ฌด๋ฅด๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฒค์ฟ ๋ฒ„์™€ ์‹œ์• ํ‹€, ์—ฅ์ปค๋ฆฌ์ง€์™€ ๋ฒค์ฟ ๋ฒ„. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 10์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์—ฅ์ปค๋ฆฌ์ง€ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์—ฅ์ปค๋ฆฌ์ง€์—์„œ ๋ฒค์ฟ ๋ฒ„๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฒค์ฟ ๋ฒ„ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋ฒค์ฟ ๋ฒ„์—์„œ ์‹œ์• ํ‹€๋กœ ๋น„ํ–‰. 6-10์ผ์ฐจ: 5์ผ๊ฐ„ ์‹œ์• ํ‹€ ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 10 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You plan to spend 3 days in Enchorage. You'd like to be in Seattle for 5 days. You'd like to visit Vancouver for 4 days. You'd like to stay with relatives in Vancouver between days 3-5. Here are the cities that have direct flights: Vancouver and Seattle, Enchorage and Vancouver. Plan a trip to visit the three cities in 10 days using direct flights.
Days 1-3: Visit Enchorage for 3 days. Day 3: Fly from Enchorage to Vancouver. Days 3-6: Visit Vancouver for 4 days. Day 6: Fly from Vancouver to Seattle. Days 6-10: Visit Seattle for 5 days.
๋ณ€์ˆ˜ ์ •์˜: A: ์—ฅ์ปค๋ฆฌ์ง€, S: ์‹œ์• ํ‹€, V: ๋ฒค์ฟ ๋ฒ„ a_A: ์—ฅ์ปค๋ฆฌ์ง€ ๋„์ฐฉ์ผ, d_A: ์—ฅ์ปค๋ฆฌ์ง€ ์ถœ๋ฐœ์ผ a_S: ์‹œ์• ํ‹€ ๋„์ฐฉ์ผ, d_S: ์‹œ์• ํ‹€ ์ถœ๋ฐœ์ผ a_V: ๋ฒค์ฟ ๋ฒ„ ๋„์ฐฉ์ผ, d_V: ๋ฒค์ฟ ๋ฒ„ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_A - a_A + 1 = 3 d_S - a_S + 1 = 5 d_V - a_V + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_A, d_S, d_V) - min(a_A, a_S, a_V) + 1 = 10 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [3, 5] โˆฉ [a_V, d_V] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (V โ†” S), (A โ†” V) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์—ฅ์ปค๋ฆฌ์ง€ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์—ฅ์ปค๋ฆฌ์ง€์—์„œ ๋ฒค์ฟ ๋ฒ„๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฒค์ฟ ๋ฒ„ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋ฒค์ฟ ๋ฒ„์—์„œ ์‹œ์• ํ‹€๋กœ ๋น„ํ–‰. 6-10์ผ์ฐจ: 5์ผ๊ฐ„ ์‹œ์• ํ‹€ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 11์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 3์ผ์„ ํ‹ฐํ›„์•„๋‚˜์—์„œ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 9์ผ์— ํ‹ฐํ›„์•„๋‚˜๋กœ ์ž…๊ตญํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ํฌํ‹€๋žœ๋“œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์บ˜๊ฑฐ๋ฆฌ์—์„œ 5์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํฌํ‹€๋žœ๋“œ์™€ ์บ˜๊ฑฐ๋ฆฌ, ํ‹ฐํ›„์•„๋‚˜์™€ ํฌํ‹€๋žœ๋“œ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 11์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ์บ˜๊ฑฐ๋ฆฌ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์บ˜๊ฑฐ๋ฆฌ์—์„œ ํฌํ‹€๋žœ๋“œ๋กœ ๋น„ํ–‰. 5-9์ผ์ฐจ: 5์ผ๊ฐ„ ํฌํ‹€๋žœ๋“œ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ํฌํ‹€๋žœ๋“œ์—์„œ ํ‹ฐํ›„์•„๋‚˜๋กœ ๋น„ํ–‰. 9-11์ผ์ฐจ: 3์ผ๊ฐ„ ํ‹ฐํ›„์•„๋‚˜ ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 11 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to spend 3 days in Tijuana. You will fly into Tijuana on the 9th. You will visit Portland for 5 days. You want to spend 5 days in Calgary. Here are the cities that have direct flights: Portland and Calgary, Tijuana and Portland. Plan a trip to visit the three cities in 11 days using direct flights.
Days 1-5: Visit Calgary for 5 days. Day 5: Fly from Calgary to Portland. Days 5-9: Visit Portland for 5 days. Day 9: Fly from Portland to Tijuana. Days 9-11: Visit Tijuana for 3 days.
๋ณ€์ˆ˜ ์ •์˜: T: ํ‹ฐํ›„์•„๋‚˜, P: ํฌํ‹€๋žœ๋“œ, C: ์บ˜๊ฑฐ๋ฆฌ a_T: ํ‹ฐํ›„์•„๋‚˜ ๋„์ฐฉ์ผ, d_T: ํ‹ฐํ›„์•„๋‚˜ ์ถœ๋ฐœ์ผ a_P: ํฌํ‹€๋žœ๋“œ ๋„์ฐฉ์ผ, d_P: ํฌํ‹€๋žœ๋“œ ์ถœ๋ฐœ์ผ a_C: ์บ˜๊ฑฐ๋ฆฌ ๋„์ฐฉ์ผ, d_C: ์บ˜๊ฑฐ๋ฆฌ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_T - a_T + 1 = 3 d_P - a_P + 1 = 5 d_C - a_C + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_T, d_P, d_C) - min(a_T, a_P, a_C) + 1 = 11 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_T = 9 ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (P โ†” C), (T โ†” P) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ์บ˜๊ฑฐ๋ฆฌ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์บ˜๊ฑฐ๋ฆฌ์—์„œ ํฌํ‹€๋žœ๋“œ๋กœ ๋น„ํ–‰. 5-9์ผ์ฐจ: 5์ผ๊ฐ„ ํฌํ‹€๋žœ๋“œ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ํฌํ‹€๋žœ๋“œ์—์„œ ํ‹ฐํ›„์•„๋‚˜๋กœ ๋น„ํ–‰. 9-11์ผ์ฐจ: 3์ผ๊ฐ„ ํ‹ฐํ›„์•„๋‚˜ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 10์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 2์ผ๊ฐ„ ๋ฉ•์‹œ์นผ๋ฆฌ์—์„œ ๋จธ๋ฃจ๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ์•„๋ฐ”๋‚˜์—์„œ ์ง€๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 7์ผ ๋™์•ˆ์€ ์ƒŒํ”„๋ž€์‹œ์Šค์ฝ”์—์„œ ๋จธ๋ฌผ๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๊ฐ€์žฅ ์˜ค๋ž˜ ๋จธ๋ฌด๋ฅด๋Š” ๋„์‹œ๋ฅผ ์ฒ˜์Œ์— ๋ฐฉ๋ฌธํ•˜๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์•„๋ฐ”๋‚˜์™€ ๋ฉ•์‹œ์นผ๋ฆฌ, ์ƒŒํ”„๋ž€์‹œ์Šค์ฝ”์™€ ๋ฉ•์‹œ์นผ๋ฆฌ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 10์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ: 7์ผ๊ฐ„ ์ƒŒํ”„๋ž€์‹œ์Šค์ฝ” ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์ƒŒํ”„๋ž€์‹œ์Šค์ฝ”์—์„œ ๋ฉ•์‹œ์นผ๋ฆฌ๋กœ ๋น„ํ–‰. 7-8์ผ์ฐจ: 2์ผ๊ฐ„ ๋ฉ•์‹œ์นผ๋ฆฌ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ฉ•์‹œ์นผ๋ฆฌ์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 10 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 2 days in Mexicali. You'll spend 3 days in Havana You'll spend 7 days in San Francisco. You want to visit the city you stay in the longest first. Here are the cities that have direct flights: Havana and Mexicali, San Francisco and Mexicali. Plan a trip to visit the three cities in 10 days using direct flights.
Days 1-7: Visit San Francisco for 7 days. Day 7: Fly from San Francisco to Mexicali. Days 7-8: Visit Mexicali for 2 days. Day 8: Fly from Mexicali to Havana. Days 8-10: Visit Havana for 3 days.
๋ณ€์ˆ˜ ์ •์˜: M: ๋ฉ•์‹œ์นผ๋ฆฌ, A: ์•„๋ฐ”๋‚˜, S: ์ƒŒํ”„๋ž€์‹œ์Šค์ฝ” a_M: ๋ฉ•์‹œ์นผ๋ฆฌ ๋„์ฐฉ์ผ, d_M: ๋ฉ•์‹œ์นผ๋ฆฌ ์ถœ๋ฐœ์ผ a_A: ์•„๋ฐ”๋‚˜ ๋„์ฐฉ์ผ, d_A: ์•„๋ฐ”๋‚˜ ์ถœ๋ฐœ์ผ a_S: ์ƒŒํ”„๋ž€์‹œ์Šค์ฝ” ๋„์ฐฉ์ผ, d_S: ์ƒŒํ”„๋ž€์‹œ์Šค์ฝ” ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_M - a_M + 1 = 2 d_A - a_A + 1 = 3 d_S - a_S + 1 = 7 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_M, d_A, d_S) - min(a_M, a_A, a_S) + 1 = 10 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_S = 1 ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (A โ†” M), (S โ†” M) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ: 7์ผ๊ฐ„ ์ƒŒํ”„๋ž€์‹œ์Šค์ฝ” ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์ƒŒํ”„๋ž€์‹œ์Šค์ฝ”์—์„œ ๋ฉ•์‹œ์นผ๋ฆฌ๋กœ ๋น„ํ–‰. 7-8์ผ์ฐจ: 2์ผ๊ฐ„ ๋ฉ•์‹œ์นผ๋ฆฌ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ฉ•์‹œ์นผ๋ฆฌ์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ.
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3
์ง์ ‘ ์ƒ์„ฑ
์ด 13์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ํฌ๋ฅดํ† ํ”„๋žญ์Šค์—์„œ 5์ผ๊ฐ„ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 9์ผ๊ณผ 13์ผ ์‚ฌ์ด์—๋Š” ํฌ๋ฅดํ† ํ”„๋žญ์Šค์—์„œ ํ•ด์™ธ ๋ด‰์‚ฌ๋ฅผ ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ๋งˆ์ด์• ๋ฏธ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ์•„๋ฐ”๋‚˜์—์„œ ์—ฌํ–‰์„ ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์•„๋ฐ”๋‚˜์™€ ๋งˆ์ด์• ๋ฏธ, ํฌ๋ฅดํ† ํ”„๋žญ์Šค์™€ ์•„๋ฐ”๋‚˜. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 13์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ๋งˆ์ด์• ๋ฏธ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋งˆ์ด์• ๋ฏธ์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 6-9์ผ์ฐจ: 4์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์•„๋ฐ”๋‚˜์—์„œ ํฌ๋ฅดํ† ํ”„๋žญ์Šค๋กœ ๋น„ํ–‰. 9-13์ผ์ฐจ: 5์ผ๊ฐ„ ํฌ๋ฅดํ† ํ”„๋žญ์Šค ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 13 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 5 days in Port-au-Prince. You will be doing overseas volunteer work in Port-au-Prince between the 9th and the 13th. You'll visit Miami for 6 days. You'll spend 4 days in Havana. Here are the cities that have direct flights: Havana and Miami, Port-au-Prince and Havana. Plan a trip to visit the three cities in 13 days using direct flights.
Days 1-6: Visit Miami for 6 days. Day 6: Fly from Miami to Havana. Days 6-9: Visit Havana for 4 days. Day 9: Fly from Havana to Port-au-Prince. Days 9-13: Visit Port-au-Prince for 5 days.
๋ณ€์ˆ˜ ์ •์˜: P: ํฌ๋ฅดํ† ํ”„๋žญ์Šค, M: ๋งˆ์ด์• ๋ฏธ, H: ์•„๋ฐ”๋‚˜ a_P: ํฌ๋ฅดํ† ํ”„๋žญ์Šค ๋„์ฐฉ์ผ, d_P: ํฌ๋ฅดํ† ํ”„๋žญ์Šค ์ถœ๋ฐœ์ผ a_M: ๋งˆ์ด์• ๋ฏธ ๋„์ฐฉ์ผ, d_M: ๋งˆ์ด์• ๋ฏธ ์ถœ๋ฐœ์ผ a_H: ์•„๋ฐ”๋‚˜ ๋„์ฐฉ์ผ, d_H: ์•„๋ฐ”๋‚˜ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_P - a_P + 1 = 5 d_M - a_M + 1 = 6 d_H - a_H + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_P, d_M, d_H) - min(a_P, a_M, a_H) + 1 = 13 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [9, 13] โˆฉ [a_P, d_P] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (H โ†” M), (P โ†” H) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ๋งˆ์ด์• ๋ฏธ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋งˆ์ด์• ๋ฏธ์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 6-9์ผ์ฐจ: 4์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์•„๋ฐ”๋‚˜์—์„œ ํฌ๋ฅดํ† ํ”„๋žญ์Šค๋กœ ๋น„ํ–‰. 9-13์ผ์ฐจ: 5์ผ๊ฐ„ ํฌ๋ฅดํ† ํ”„๋žญ์Šค ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 12์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 5์ผ์„ ํ…Œ๊ตฌ์‹œ๊ฐˆํŒŒ์—์„œ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ์นธ์ฟค์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ณผ 6์ผ ์‚ฌ์ด์— ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ์—์„œ ๊ด€๊ด‘ ํˆฌ์–ด๋ฅผ ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ๋ฒจ๋ชจํŒ์—์„œ 3์ผ์„ ๋จธ๋ฌผ๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํ…Œ๊ตฌ์‹œ๊ฐˆํŒŒ์™€ ๋ฒจ๋ชจํŒ, ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ์™€ ์นธ์ฟค, ๋ฒจ๋ชจํŒ๊ณผ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 12์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์นธ์ฟค ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์นธ์ฟค์—์„œ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 4-6์ผ์ฐจ: 3์ผ๊ฐ„ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ์—์„œ ๋ฒจ๋ชจํŒ์œผ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฒจ๋ชจํŒ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ฒจ๋ชจํŒ์—์„œ ํ…Œ๊ตฌ์‹œ๊ฐˆํŒŒ๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ํ…Œ๊ตฌ์‹œ๊ฐˆํŒŒ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 12 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 5 days in Tegucigalpa. You'll be in Cancun for 4 days. You'll visit Guatemala City for 3 days. You've booked a sightseeing tour in Guatemala City between days 4 and 6. You want to spend 3 days in Belmopan. Here are the cities that have direct flights: Tegucigalpa and Belmopan, Guatemala City and Cancun, Belmopan and Guatemala City. Plan a trip to visit four cities in 12 days using direct flights.
Days 1-4: Visit Cancun for 4 days. Day 4: Fly from Cancun to Guatemala City. Days 4-6: Visit Guatemala City for 3 days. Day 6: Fly from Guatemala City to Belmopan. Days 6-8: Visit Belmopan for 3 days. Day 8: Fly from Belmopan to Tegucigalpa. Days 8-12: Visit Tegucigalpa for 5 days.
๋ณ€์ˆ˜ ์ •์˜: T: ํ…Œ๊ตฌ์‹œ๊ฐˆํŒŒ, C: ์นธ์ฟค, G: ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ, B: ๋ฒจ๋ชจํŒ a_T: ํ…Œ๊ตฌ์‹œ๊ฐˆํŒŒ ๋„์ฐฉ์ผ, d_T: ํ…Œ๊ตฌ์‹œ๊ฐˆํŒŒ ์ถœ๋ฐœ์ผ a_C: ์นธ์ฟค ๋„์ฐฉ์ผ, d_C: ์นธ์ฟค ์ถœ๋ฐœ์ผ a_G: ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ ๋„์ฐฉ์ผ, d_G: ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ ์ถœ๋ฐœ์ผ a_B: ๋ฒจ๋ชจํŒ ๋„์ฐฉ์ผ, d_B: ๋ฒจ๋ชจํŒ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_T - a_T + 1 = 5 d_C - a_C + 1 = 4 d_G - a_G + 1 = 3 d_B - a_B + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_T, d_C, d_G, d_B) - min(a_T, a_C, a_G, a_B) + 1 = 12 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [4, 6] โˆฉ [a_G, d_G] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (T โ†” B), (G โ†” C), (B โ†” G) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์นธ์ฟค ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์นธ์ฟค์—์„œ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 4-6์ผ์ฐจ: 3์ผ๊ฐ„ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ์—์„œ ๋ฒจ๋ชจํŒ์œผ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฒจ๋ชจํŒ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ฒจ๋ชจํŒ์—์„œ ํ…Œ๊ตฌ์‹œ๊ฐˆํŒŒ๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ํ…Œ๊ตฌ์‹œ๊ฐˆํŒŒ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 11์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ๋Œˆ๋Ÿฌ์Šค์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด์— ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์— ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 8์ผ์ฐจ์— ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์—์„œ ์นœ๊ตฌ์™€ ์ €๋…์„ ๋จน๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. 2์ผ๊ฐ„ ๋งˆ๋‚˜๊ณผ์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋งˆ๋‚˜๊ณผ์—์„œ ๋งˆ์ง€๋ง‰ ์—ฌ์ •์„ ์ฆ๊ธฐ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋Œˆ๋Ÿฌ์Šค์™€ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด, ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์™€ ๋Œˆ๋Ÿฌ์Šค, ์‚ฐ์‚ด๋ฐ”๋„๋ฅด์™€ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ, ๋งˆ๋‚˜๊ณผ์™€ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 11์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋Œˆ๋Ÿฌ์Šค ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋Œˆ๋Ÿฌ์Šค์—์„œ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์—์„œ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์‚ฐ์‚ด๋ฐ”๋„๋ฅด์—์„œ ๋งˆ๋‚˜๊ณผ๋กœ ๋น„ํ–‰. 10-11์ผ์ฐจ: 2์ผ๊ฐ„ ๋งˆ๋‚˜๊ณผ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 11 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 5 days in Dallas. You'll be in San Salvador for 3 days. You'll be in Mexico City for 4 days. On day 8, you have planned to have dinner with a friend in Mexico City. You'll be in Managua for 2 days. You want to enjoy your last night in Managua. Here are the cities that have direct flights: Dallas and San Salvador, Mexico City and Dallas, San Salvador and Mexico City, Managua and San Salvador. Plan a trip to visit four cities in 11 days using direct flights.
Days 1-5: Visit Dallas for 5 days. Day 5: Fly from Dallas to Mexico City. Days 5-8: Visit Mexico City for 4 days. Day 8: Fly from Mexico City to San Salvador. Days 8-10: Visit San Salvador for 3 days. Day 10: Fly from San Salvador to Managua. Days 10-11: Visit Managua for 2 days.
๋ณ€์ˆ˜ ์ •์˜: D: ๋Œˆ๋Ÿฌ์Šค, S: ์‚ฐ์‚ด๋ฐ”๋„๋ฅด, M: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ, N: ๋งˆ๋‚˜๊ณผ a_D: ๋Œˆ๋Ÿฌ์Šค ๋„์ฐฉ์ผ, d_D: ๋Œˆ๋Ÿฌ์Šค ์ถœ๋ฐœ์ผ a_S: ์‚ฐ์‚ด๋ฐ”๋„๋ฅด ๋„์ฐฉ์ผ, d_S: ์‚ฐ์‚ด๋ฐ”๋„๋ฅด ์ถœ๋ฐœ์ผ a_M: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ๋„์ฐฉ์ผ, d_M: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ์ถœ๋ฐœ์ผ a_N: ๋งˆ๋‚˜๊ณผ ๋„์ฐฉ์ผ, d_N: ๋งˆ๋‚˜๊ณผ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_D - a_D + 1 = 5 d_S - a_S + 1 = 3 d_M - a_M + 1 = 4 d_N - a_N + 1 = 2 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_D, d_S, d_M, d_N) - min(a_D, a_S, a_M, a_N) + 1 = 11 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_M โ‰ค 8 โ‰ค d_M d_N = 11 ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (D โ†” S), (M โ†” D), (S โ†” M), (N โ†” S) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋Œˆ๋Ÿฌ์Šค ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋Œˆ๋Ÿฌ์Šค์—์„œ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์—์„œ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์‚ฐ์‚ด๋ฐ”๋„๋ฅด์—์„œ ๋งˆ๋‚˜๊ณผ๋กœ ๋น„ํ–‰. 10-11์ผ์ฐจ: 2์ผ๊ฐ„ ๋งˆ๋‚˜๊ณผ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 15์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 10์ผ๊ณผ 14์ผ ์‚ฌ์ด์— ์‚ฐํ‹ฐ์•„๊ณ  ์ˆœ๋ก€๊ธธ์„ ์ผ๋ถ€ ๊ฑธ์–ด๋ณด๋ ค ํ•ฉ๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ ๋ผํŒŒ์Šค๋ฅผ ๋ฐฉ๋ฌธํ•ด๋ณด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ํ‚คํ† ์™€ ๋ฆฌ๋งˆ์—์„œ ๊ฐ๊ฐ 4์ผ๊ฐ„ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ๊ณผ 6์ผ ์‚ฌ์ด์—๋Š” ๋ฆฌ๋งˆ์— ์žˆ์–ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฆฌ๋งˆ์™€ ํ‚คํ† , ๋ฆฌ๋งˆ์™€ ์‚ฐํ‹ฐ์•„๊ณ , ๋ผํŒŒ์Šค์™€ ๋ฆฌ๋งˆ, ์‚ฐํ‹ฐ์•„๊ณ ์™€ ๋ผํŒŒ์Šค, ํ‚คํ† ์™€ ๋ผํŒŒ์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 15์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ํ‚คํ†  ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํ‚คํ† ์—์„œ ๋ฆฌ๋งˆ๋กœ ๋น„ํ–‰. 4-7์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฆฌ๋งˆ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋ฆฌ๋งˆ์—์„œ ๋ผํŒŒ์Šค๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ๋ผํŒŒ์Šค ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋ผํŒŒ์Šค์—์„œ ์‚ฐํ‹ฐ์•„๊ณ ๋กœ ๋น„ํ–‰. 9-15์ผ์ฐจ: 7์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ  ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 15 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll be in Santiago for 7 days. Between days 10 and 14, you'll try to walk part of the Camino de Santiago. You'll visit La Paz for 3 days. You'll spend 4 days in Quito and 4 days in Lima. You'll need to be in Lima between days 5 and 6. Here are the cities that have direct flights: Lima and Quito, Lima and Santiago, La Paz and Lima, Santiago and La Paz, Quito and La Paz. Plan a trip to visit four cities in 15 days using direct flights.
Days 1-4: Visit Quito for 4 days. Day 4: Fly from Quito to Lima. Days 4-7: Visit Lima for 4 days. Day 7: Fly from Lima to La Paz. Days 7-9: Visit La Paz for 3 days. Day 9: Fly from La Paz to Santiago. Days 9-15: Visit Santiago for 7 days.
๋ณ€์ˆ˜ ์ •์˜: S: ์‚ฐํ‹ฐ์•„๊ณ , L: ๋ผํŒŒ์Šค, Q: ํ‚คํ† , R: ๋ฆฌ๋งˆ a_S: ์‚ฐํ‹ฐ์•„๊ณ  ๋„์ฐฉ์ผ, d_S: ์‚ฐํ‹ฐ์•„๊ณ  ์ถœ๋ฐœ์ผ a_L: ๋ผํŒŒ์Šค ๋„์ฐฉ์ผ, d_L: ๋ผํŒŒ์Šค ์ถœ๋ฐœ์ผ a_Q: ํ‚คํ†  ๋„์ฐฉ์ผ, d_Q: ํ‚คํ†  ์ถœ๋ฐœ์ผ a_R: ๋ฆฌ๋งˆ ๋„์ฐฉ์ผ, d_R: ๋ฆฌ๋งˆ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_S - a_S + 1 = 7 d_L - a_L + 1 = 3 d_Q - a_Q + 1 = 4 d_R - a_R + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_S, d_L, d_Q, d_R) - min(a_S, a_L, a_Q, a_R) + 1 = 15 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [10, 14] โˆฉ [a_S, d_S] โ‰  โˆ… {5, 6} โІ [a_R, d_R] ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (R โ†” Q), (R โ†” S), (L โ†” R), (S โ†” L), (Q โ†” L) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ํ‚คํ†  ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํ‚คํ† ์—์„œ ๋ฆฌ๋งˆ๋กœ ๋น„ํ–‰. 4-7์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฆฌ๋งˆ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋ฆฌ๋งˆ์—์„œ ๋ผํŒŒ์Šค๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ๋ผํŒŒ์Šค ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋ผํŒŒ์Šค์—์„œ ์‚ฐํ‹ฐ์•„๊ณ ๋กœ ๋น„ํ–‰. 9-15์ผ์ฐจ: 7์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ  ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 13์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์—์„œ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ์นด๋ผ์นด์Šค์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 3์ผ๊ณผ 8์ผ์ฐจ ์‚ฌ์ด์—์— ์นด๋ผ์นด์Šค์—์„œ ์ถ•๊ตฌ๋ฅผ ๋ณผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ๋ณด๊ณ ํƒ€๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 2์ผ๊ฐ„ ์กฐ์ง€ํƒ€์šด์—์„œ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์กฐ์ง€ํƒ€์šด๊ณผ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด, ์นด๋ผ์นด์Šค์™€ ์กฐ์ง€ํƒ€์šด, ๋ณด๊ณ ํƒ€์™€ ์กฐ์ง€ํƒ€์šด, ๋ณด๊ณ ํƒ€์™€ ์นด๋ผ์นด์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 13์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋ณด๊ณ ํƒ€ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋ณด๊ณ ํƒ€์—์„œ ์นด๋ผ์นด์Šค๋กœ ๋น„ํ–‰. 3-8์ผ์ฐจ: 6์ผ๊ฐ„ ์นด๋ผ์นด์Šค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์นด๋ผ์นด์Šค์—์„œ ์กฐ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 8-9์ผ์ฐจ: 2์ผ๊ฐ„ ์กฐ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์กฐ์ง€ํƒ€์šด์—์„œ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด๋กœ ๋น„ํ–‰. 9-13์ผ์ฐจ: 5์ผ๊ฐ„ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 13 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 5 days in Paramaribo. You'll spend 6 days in Caracas. You'll watch soccer in Caracas between days 3 and 8. You'll visit Bogota for 3 days. You will spend 2 days in Georgetown. Here are the cities that have direct flights: Georgetown and Paramaribo, Caracas and Georgetown, Bogota and Georgetown, Bogota and Caracas. Plan your trip to visit four cities in 13 days using direct flights.
Days 1-3: Visit Bogota for 3 days. Day 3: Fly from Bogota to Caracas. Days 3-8: Visit Caracas for 6 days. Day 8: Fly from Caracas to Georgetown. Days 8-9: Visit Georgetown for 2 days. Day 9: Fly from Georgetown to Paramaribo. Days 9-13: Visit Paramaribo for 5 days.
๋ณ€์ˆ˜ ์ •์˜: P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด, C: ์นด๋ผ์นด์Šค, B: ๋ณด๊ณ ํƒ€, G: ์กฐ์ง€ํƒ€์šด a_P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋„์ฐฉ์ผ, d_P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ์ถœ๋ฐœ์ผ a_C: ์นด๋ผ์นด์Šค ๋„์ฐฉ์ผ, d_C: ์นด๋ผ์นด์Šค ์ถœ๋ฐœ์ผ a_B: ๋ณด๊ณ ํƒ€ ๋„์ฐฉ์ผ, d_B: ๋ณด๊ณ ํƒ€ ์ถœ๋ฐœ์ผ a_G: ์กฐ์ง€ํƒ€์šด ๋„์ฐฉ์ผ, d_G: ์กฐ์ง€ํƒ€์šด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_P - a_P + 1 = 5 d_C - a_C + 1 = 6 d_B - a_B + 1 = 3 d_G - a_G + 1 = 2 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_P, d_C, d_B, d_G) - min(a_P, a_C, a_B, a_G) + 1 = 13 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [3, 8] โˆฉ [a_C, d_C] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (G โ†” P), (C โ†” G), (B โ†” G), (B โ†” C) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋ณด๊ณ ํƒ€ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋ณด๊ณ ํƒ€์—์„œ ์นด๋ผ์นด์Šค๋กœ ๋น„ํ–‰. 3-8์ผ์ฐจ: 6์ผ๊ฐ„ ์นด๋ผ์นด์Šค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์นด๋ผ์นด์Šค์—์„œ ์กฐ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 8-9์ผ์ฐจ: 2์ผ๊ฐ„ ์กฐ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์กฐ์ง€ํƒ€์šด์—์„œ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด๋กœ ๋น„ํ–‰. 9-13์ผ์ฐจ: 5์ผ๊ฐ„ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 16์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 2์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์ƒํŒŒ์šธ๋ฃจ์—์„œ 5์ผ์„ ๋ณด๋‚ด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. 10์ผ๊ณผ 11์ผ ์‚ฌ์ด์— ์ƒํŒŒ์šธ๋ฃจ์—์„œ ๋ถ€๋ชจ๋‹˜์„ ๋งŒ๋‚˜๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋ฅผ ๋ฐฉ๋ฌธํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์ˆ˜ํฌ๋ ˆ์—์„œ 3์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ์•„์ˆœ์‹œ์˜จ์—์„œ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ชฌํ…Œ๋น„๋ฐ์˜ค์™€ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค, ์•„์ˆœ์‹œ์˜จ๊ณผ ๋ชฌํ…Œ๋น„๋ฐ์˜ค, ์ƒํŒŒ์šธ๋ฃจ์™€ ์ˆ˜ํฌ๋ ˆ, ์•„์ˆœ์‹œ์˜จ๊ณผ ์ƒํŒŒ์šธ๋ฃจ ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 16์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋กœ ๋น„ํ–‰. 2-5์ผ์ฐจ: 4์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ ์•„์ˆœ์‹œ์˜จ์œผ๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ: 6์ผ๊ฐ„ ์•„์ˆœ์‹œ์˜จ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์•„์ˆœ์‹œ์˜จ์—์„œ ์ƒํŒŒ์šธ๋ฃจ๋กœ ๋น„ํ–‰. 10-14์ผ์ฐจ: 5์ผ๊ฐ„ ์ƒํŒŒ์šธ๋ฃจ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ์ƒํŒŒ์šธ๋ฃจ์—์„œ ์ˆ˜ํฌ๋ ˆ๋กœ ๋น„ํ–‰. 14-16์ผ์ฐจ: 3์ผ๊ฐ„ ์ˆ˜ํฌ๋ ˆ ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 16 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 2 days in Buenos Aires. You'll spend 5 days in Sรฃo Paulo. You're going to meet your parents in Sรฃo Paulo between the 10th and 11th. You're going to visit Montevideo for 4 days. You will spend 3 days in Sucre. You will spend 6 days in Asuncion. Here are the cities that have direct flights: Montevideo and Buenos Aires, Asuncion and Montevideo, Sรฃo Paulo and Sucre, Asuncion and Sรฃo Paulo. Plan a trip to visit five cities in 16 days with direct flights.
Days 1-2: Visit Buenos Aires for 2 days. Day 2: Fly from Buenos Aires to Montevideo. Days 2-5: Visit Montevideo for 4 days. Day 5: Fly from Montevideo to Asuncion. Days 5-10: Visit Asuncion for 6 days. Day 10: Fly from Asuncion to Sรฃo Paulo. Days 10-14: Visit Sรฃo Paulo for 5 days. Day 14: Fly from Sรฃo Paulo to Sucre. Days 14-16: Visit Sucre for 3 days.
๋ณ€์ˆ˜ ์ •์˜: B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค, S: ์ƒํŒŒ์šธ๋ฃจ, M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค, C: ์ˆ˜ํฌ๋ ˆ, A: ์•„์ˆœ์‹œ์˜จ a_B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋„์ฐฉ์ผ, d_B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ์ถœ๋ฐœ์ผ a_S: ์ƒํŒŒ์šธ๋ฃจ ๋„์ฐฉ์ผ, d_S: ์ƒํŒŒ์šธ๋ฃจ ์ถœ๋ฐœ์ผ a_M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋„์ฐฉ์ผ, d_M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค ์ถœ๋ฐœ์ผ a_C: ์ˆ˜ํฌ๋ ˆ ๋„์ฐฉ์ผ, d_C: ์ˆ˜ํฌ๋ ˆ ์ถœ๋ฐœ์ผ a_A: ์•„์ˆœ์‹œ์˜จ ๋„์ฐฉ์ผ, d_A: ์•„์ˆœ์‹œ์˜จ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_B - a_B + 1 = 2 d_S - a_S + 1 = 5 d_M - a_M + 1 = 4 d_C - a_C + 1 = 3 d_A - a_A + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_B, d_S, d_M, d_C, d_A) - min(a_B, a_S, a_M, a_C, a_A) + 1 = 16 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: {10, 11} โˆฉ [a_S, d_S] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (M โ†” B), (A โ†” M), (S โ†” C), (A โ†” S) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋กœ ๋น„ํ–‰. 2-5์ผ์ฐจ: 4์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ ์•„์ˆœ์‹œ์˜จ์œผ๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ: 6์ผ๊ฐ„ ์•„์ˆœ์‹œ์˜จ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์•„์ˆœ์‹œ์˜จ์—์„œ ์ƒํŒŒ์šธ๋ฃจ๋กœ ๋น„ํ–‰. 10-14์ผ์ฐจ: 5์ผ๊ฐ„ ์ƒํŒŒ์šธ๋ฃจ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ์ƒํŒŒ์šธ๋ฃจ์—์„œ ์ˆ˜ํฌ๋ ˆ๋กœ ๋น„ํ–‰. 14-16์ผ์ฐจ: 3์ผ๊ฐ„ ์ˆ˜ํฌ๋ ˆ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 21์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ์‚ฐํ˜ธ์„ธ์—์„œ ๋จธ๋ฌด๋ ค ํ•ฉ๋‹ˆ๋‹ค. ์‚ฐํ† ๋„๋ฐ๊ณ ์—์„œ 7์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ํ‚น์Šคํ†ค์—์„œ 4์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 13-14์ผ ์‚ฌ์ด์—๋Š” ํ‚น์Šคํ†ค์— ์žˆ๋Š” ์นœ๊ตฌ๋„ค ์ง‘์—์„œ ๋จธ๋ฌด๋ฅผ ์ƒ๊ฐ์ž…๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ํ”Œ๋กœ๋ Œ์‹œ์•„๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ํŒŒ๋‚˜๋งˆ์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ๊ณผ 8์ผ ์‚ฌ์ด์— ํŒŒ๋‚˜๋งˆ์—์„œ ์‚ฌ์šฉํ•  ์ฐจ๋ฅผ ๋ฏธ๋ฆฌ ๋นŒ๋ ค๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํ”Œ๋กœ๋ Œ์‹œ์•„์™€ ์‚ฐํ˜ธ์„ธ, ํ”Œ๋กœ๋ Œ์‹œ์•„์™€ ํ‚น์Šคํ†ค, ์‚ฐํ˜ธ์„ธ์™€ ํŒŒ๋‚˜๋งˆ, ์‚ฐํ† ๋„๋ฐ๊ณ ์™€ ํ‚น์Šคํ†ค, ์‚ฐํ† ๋„๋ฐ๊ณ ์™€ ํŒŒ๋‚˜๋งˆ, ์‚ฐํ˜ธ์„ธ์™€ ํ‚น์Šคํ†ค, ํŒŒ๋‚˜๋งˆ์™€ ํ”Œ๋กœ๋ Œ์‹œ์•„. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 21์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ํ”Œ๋กœ๋ Œ์‹œ์•„ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ํ”Œ๋กœ๋ Œ์‹œ์•„์—์„œ ํŒŒ๋‚˜๋งˆ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ํŒŒ๋‚˜๋งˆ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํŒŒ๋‚˜๋งˆ์—์„œ ์‚ฐํ˜ธ์„ธ๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ์‚ฐํ˜ธ์„ธ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ์‚ฐํ˜ธ์„ธ์—์„œ ํ‚น์Šคํ†ค์œผ๋กœ ๋น„ํ–‰. 12-15์ผ์ฐจ: 4์ผ๊ฐ„ ํ‚น์Šคํ†ค ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ํ‚น์Šคํ†ค์—์„œ ์‚ฐํ† ๋„๋ฐ๊ณ ๋กœ ๋น„ํ–‰. 15-21์ผ์ฐจ: 7์ผ๊ฐ„ ์‚ฐํ† ๋„๋ฐ๊ณ  ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 21 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You plan to spend 5 days in San Jose. You'll spend 7 days in Santo Domingo. You'll spend 4 days in Kingston. You'll stay at a friend's house in Kingston between the 13th and 14th. You will visit Florence for 6 days. You will be in Panama for 3 days. You have already rented a car to use in Panama between the 6th and 8th. Here are the cities that have direct flights: Florence and San Jose, Florence and Kingston, San Jose and Panama, Santo Domingo and Kingston, Santo Domingo and Panama, San Jose and Kingston, Panama and Florence. Plan a trip to visit five cities in 21 days with direct flights.
Days 1-6: Visit Florence for 6 days. Day 6: Fly from Florence to Panama. Days 6-8: Visit Panama for 3 days. Day 8: Fly from Panama to San Jose. Days 8-12: Visit San Jose for 5 days. Day 12: Fly from San Jose to Kingston. Days 12-15: Visit Kingston for 4 days. Day 15: Fly from Kingston to Santo Domingo. Days 15-21: Visit Santo Domingo for 7 days.
๋ณ€์ˆ˜ ์ •์˜: S: ์‚ฐํ˜ธ์„ธ, D: ์‚ฐํ† ๋„๋ฐ๊ณ , K: ํ‚น์Šคํ†ค, F: ํ”Œ๋กœ๋ Œ์‹œ์•„, P: ํŒŒ๋‚˜๋งˆ a_S: ์‚ฐํ˜ธ์„ธ ๋„์ฐฉ์ผ, d_S: ์‚ฐํ˜ธ์„ธ ์ถœ๋ฐœ์ผ a_D: ์‚ฐํ† ๋„๋ฐ๊ณ  ๋„์ฐฉ์ผ, d_D: ์‚ฐํ† ๋„๋ฐ๊ณ  ์ถœ๋ฐœ์ผ a_K: ํ‚น์Šคํ†ค ๋„์ฐฉ์ผ, d_K: ํ‚น์Šคํ†ค ์ถœ๋ฐœ์ผ a_F: ํ”Œ๋กœ๋ Œ์‹œ์•„ ๋„์ฐฉ์ผ, d_F: ํ”Œ๋กœ๋ Œ์‹œ์•„ ์ถœ๋ฐœ์ผ a_P: ํŒŒ๋‚˜๋งˆ ๋„์ฐฉ์ผ, d_P: ํŒŒ๋‚˜๋งˆ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_S - a_S + 1 = 5 d_D - a_D + 1 = 7 d_K - a_K + 1 = 4 d_F - a_F + 1 = 6 d_P - a_P + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_S, d_D, d_K, d_F, d_P) - min(a_S, a_D, a_K, a_F, a_P) + 1 = 21 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [13, 14] โˆฉ [a_K, d_K] โ‰  โˆ… [6, 8] โˆฉ [a_P, d_P] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (F โ†” S), (F โ†” K), (S โ†” P), (D โ†” K), (D โ†” P), (S โ†” K), (P โ†” F) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ํ”Œ๋กœ๋ Œ์‹œ์•„ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ํ”Œ๋กœ๋ Œ์‹œ์•„์—์„œ ํŒŒ๋‚˜๋งˆ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ํŒŒ๋‚˜๋งˆ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํŒŒ๋‚˜๋งˆ์—์„œ ์‚ฐํ˜ธ์„ธ๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ์‚ฐํ˜ธ์„ธ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ์‚ฐํ˜ธ์„ธ์—์„œ ํ‚น์Šคํ†ค์œผ๋กœ ๋น„ํ–‰. 12-15์ผ์ฐจ: 4์ผ๊ฐ„ ํ‚น์Šคํ†ค ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ํ‚น์Šคํ†ค์—์„œ ์‚ฐํ† ๋„๋ฐ๊ณ ๋กœ ๋น„ํ–‰. 15-21์ผ์ฐจ: 7์ผ๊ฐ„ ์‚ฐํ† ๋„๋ฐ๊ณ  ๋ฐฉ๋ฌธ.
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์•„๋ฉ”๋ฆฌ์นด
5
์ง์ ‘ ์ƒ์„ฑ
์ด 19์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ์นด๋ผ์นด์Šค์— ์žˆ์„ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๋ฒจ๋ ˜๊ณผ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด๋ฅผ ๊ฐ๊ฐ 4์ผ๊ฐ„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์นœ๊ตฌ์˜ ๊ฒฐํ˜ผ์‹์ด ์ด๋ฃจ์–ด์ง€๋Š” ์—ฌํ–‰ 3์ผ์ฐจ์™€ 4์ผ์ฐจ์— ๋ฒจ๋ ˜์— ์žˆ์–ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์กฐ์ง€ํƒ€์šด์—์„œ 3์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 7์ผ๊ณผ 9์ผ ์‚ฌ์ด์—๋Š” ์กฐ์ง€ํƒ€์šด์„ ๋‘˜๋Ÿฌ๋ณด๋ ค ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด๊ณผ ์นด๋ผ์นด์Šค, ์กฐ์ง€ํƒ€์šด๊ณผ ์นด๋ผ์นด์Šค, ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์™€ ๋ฒจ๋ ˜, ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์™€ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด, ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์™€ ์กฐ์ง€ํƒ€์šด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 19์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฒจ๋ ˜ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ฒจ๋ ˜์—์„œ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด๋กœ ๋น„ํ–‰. 4-7์ผ์ฐจ: 4์ผ๊ฐ„ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์—์„œ ์กฐ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ์กฐ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์กฐ์ง€ํƒ€์šด์—์„œ ์นด๋ผ์นด์Šค๋กœ ๋น„ํ–‰. 9-15์ผ์ฐจ: 7์ผ๊ฐ„ ์นด๋ผ์นด์Šค ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ์นด๋ผ์นด์Šค์—์„œ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 15-19์ผ์ฐจ: 5์ผ๊ฐ„ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 19 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will be in Caracas for 7 days. You'll be in Belem and Paramaribo for 4 days each. You'll need to be in Belem on days 3 and 4 of your trip for a friend's wedding. You'll spend 5 days in Bridgetown. You'll spend three days in Georgetown. Between days 7 and 9, you'll want to explore Georgetown. Here are the cities that have direct flights: Bridgetown and Caracas, Georgetown and Caracas, Paramaribo and Belem, Paramaribo and Bridgetown, Paramaribo and Georgetown. Plan a trip to visit five cities in 19 days using direct flights.
Days 1-4: Visit Belem for 4 days. Day 4: Fly from Belem to Paramaribo. Days 4-7: Visit Paramaribo for 4 days. Day 7: Fly from Paramaribo to Georgetown. Days 7-9: Visit Georgetown for 3 days. Day 9: Fly from Georgetown to Caracas. Days 9-15: Visit Caracas for 7 days. Day 15: Fly from Caracas to Bridgetown. Days 15-19: Visit Bridgetown for 5 days.
๋ณ€์ˆ˜ ์ •์˜: C: ์นด๋ผ์นด์Šค, B: ๋ฒจ๋ ˜, P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด, Br: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด, G: ์กฐ์ง€ํƒ€์šด a_C: ์นด๋ผ์นด์Šค ๋„์ฐฉ์ผ, d_C: ์นด๋ผ์นด์Šค ์ถœ๋ฐœ์ผ a_B: ๋ฒจ๋ ˜ ๋„์ฐฉ์ผ, d_B: ๋ฒจ๋ ˜ ์ถœ๋ฐœ์ผ a_P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋„์ฐฉ์ผ, d_P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ์ถœ๋ฐœ์ผ a_Br: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋„์ฐฉ์ผ, d_Br: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ์ถœ๋ฐœ์ผ a_G: ์กฐ์ง€ํƒ€์šด ๋„์ฐฉ์ผ, d_G: ์กฐ์ง€ํƒ€์šด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_C - a_C + 1 = 7 d_B - a_B + 1 = 4 d_P - a_P + 1 = 4 d_Br - a_Br + 1 = 5 d_G - a_G + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_C, d_B, d_P, d_Br, d_G) - min(a_C, a_B, a_P, a_Br, a_G) + 1 = 19 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: {3, 4} โІ [a_B, d_B] [7, 9] โˆฉ [a_G, d_G] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (Br โ†” C), (G โ†” C), (P โ†” B), (P โ†” Br), (P โ†” G) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฒจ๋ ˜ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ฒจ๋ ˜์—์„œ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด๋กœ ๋น„ํ–‰. 4-7์ผ์ฐจ: 4์ผ๊ฐ„ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์—์„œ ์กฐ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ์กฐ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์กฐ์ง€ํƒ€์šด์—์„œ ์นด๋ผ์นด์Šค๋กœ ๋น„ํ–‰. 9-15์ผ์ฐจ: 7์ผ๊ฐ„ ์นด๋ผ์นด์Šค ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ์นด๋ผ์นด์Šค์—์„œ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 15-19์ผ์ฐจ: 5์ผ๊ฐ„ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 18์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ๋‰ด์š•์— ์žˆ๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๋‰ด์š•์ด ๋‘ ๋ฒˆ์งธ ์—ฌํ–‰์ง€์˜€์œผ๋ฉด ํ•ฉ๋‹ˆ๋‹ค. ์‚ฐํ† ๋„๋ฐ๊ณ ์—์„œ 3์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 1์ผ์ฐจ์— ์‚ฐํ† ๋„๋ฐ๊ณ ์— ์œ ๋ช…ํ•œ ๋ ˆ์Šคํ† ๋ž‘์„ ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ํ€˜๋ฒก์—์„œ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 15์ผ๊ณผ 17์ผ ์‚ฌ์ด์— ์นœ๊ตฌ๋“ค๊ณผ ํ€˜๋ฒก์—์„œ ์Šคํ‚ค๋ฅผ ํƒ€๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. 2์ผ ๋™์•ˆ ๋ชฌํ…Œ๊ณ ๋ฒ ์ด๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ์„ ์•„๋ฐ”๋‚˜์—์„œ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 8์ผ๊ณผ 9์ผ์—๋Š” ์•„๋ฐ”๋‚˜์—์„œ ์—ด๋ฆฌ๋Š” ํŒŒํ‹ฐ์— ์ฐธ์„ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋‰ด์š•๊ณผ ์•„๋ฐ”๋‚˜, ๋‰ด์š•๊ณผ ํ€˜๋ฒก, ์‚ฐํ† ๋„๋ฐ๊ณ ์™€ ์•„๋ฐ”๋‚˜, ์‚ฐํ† ๋„๋ฐ๊ณ ์™€ ๋ชฌํ…Œ๊ณ ๋ฒ ์ด, ์‚ฐํ† ๋„๋ฐ๊ณ ์™€ ๋‰ด์š•, ๋ชฌํ…Œ๊ณ ๋ฒ ์ด์™€ ์•„๋ฐ”๋‚˜, ๋ชฌํ…Œ๊ณ ๋ฒ ์ด์™€ ํ€˜๋ฒก. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 18์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ฐํ† ๋„๋ฐ๊ณ  ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์‚ฐํ† ๋„๋ฐ๊ณ ์—์„œ ๋‰ด์š•์œผ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ๋‰ด์š• ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋‰ด์š•์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 6-11์ผ์ฐจ: 6์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ์•„๋ฐ”๋‚˜์—์„œ ๋ชฌํ…Œ๊ณ ๋ฒ ์ด๋กœ ๋น„ํ–‰. 11-12์ผ์ฐจ: 2์ผ๊ฐ„ ๋ชฌํ…Œ๊ณ ๋ฒ ์ด ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋ชฌํ…Œ๊ณ ๋ฒ ์ด์—์„œ ํ€˜๋ฒก์œผ๋กœ ๋น„ํ–‰. 12-18์ผ์ฐจ: 7์ผ๊ฐ„ ํ€˜๋ฒก ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 18 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to be in New York for 4 days. You want New York to be your second destination. You're going to spend 3 days in Santo Domingo. You have reservations at a famous restaurant in Santo Domingo on Day 1. You will spend 7 days in Quebec. Between the 15th and 17th, you and your friends will go skiing in Quebec. You'll visit Montego Bay for 2 days. You'll spend 6 days in Havana. On the 8th and 9th, you'll attend a party in Havana. Here are the cities that have direct flights: New York and Havana, New York and Quebec, Santo Domingo and Havana, Santo Domingo and Montego Bay, Santo Domingo and New York, Montego Bay and Havana, Montego Bay and Quebec. Plan a trip to visit five cities in 18 days with nonstop flights.
Days 1-3: Visit Santo Domingo for 3 days. Day 3: Fly from Santo Domingo to New York. Days 3-6: Visit New York for 4 days. Day 6: Fly from New York to Havana. Days 6-11: Visit Havana for 6 days. Day 11: Fly from Havana to Montego Bay. Days 11-12: Visit Montego Bay for 2 days. Day 12: Fly from Montego Bay to Quebec. Days 12-18: Visit Quebec for 7 days.
๋ณ€์ˆ˜ ์ •์˜: N: ๋‰ด์š•, S: ์‚ฐํ† ๋„๋ฐ๊ณ , Q: ํ€˜๋ฒก, M: ๋ชฌํ…Œ๊ณ ๋ฒ ์ด, H: ์•„๋ฐ”๋‚˜ a_N: ๋‰ด์š• ๋„์ฐฉ์ผ, d_N: ๋‰ด์š• ์ถœ๋ฐœ์ผ a_S: ์‚ฐํ† ๋„๋ฐ๊ณ  ๋„์ฐฉ์ผ, d_S: ์‚ฐํ† ๋„๋ฐ๊ณ  ์ถœ๋ฐœ์ผ a_Q: ํ€˜๋ฒก ๋„์ฐฉ์ผ, d_Q: ํ€˜๋ฒก ์ถœ๋ฐœ์ผ a_M: ๋ชฌํ…Œ๊ณ ๋ฒ ์ด ๋„์ฐฉ์ผ, d_M: ๋ชฌํ…Œ๊ณ ๋ฒ ์ด ์ถœ๋ฐœ์ผ a_H: ์•„๋ฐ”๋‚˜ ๋„์ฐฉ์ผ, d_H: ์•„๋ฐ”๋‚˜ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_N - a_N + 1 = 4 d_S - a_S + 1 = 3 d_Q - a_Q + 1 = 7 d_M - a_M + 1 = 2 d_H - a_H + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_N, d_S, d_Q, d_M, d_H) - min(a_N, a_S, a_Q, a_M, a_H) + 1 = 18 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_S = 1 a_N = min(a_N, a_S, a_Q, a_M, a_H) + 1 [15, 17] โˆฉ [a_Q, d_Q] โ‰  โˆ… {8, 9} โІ [a_H, d_H] ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (N โ†” H), (N โ†” Q), (S โ†” H), (S โ†” M), (S โ†” N), (M โ†” H), (M โ†” Q) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ฐํ† ๋„๋ฐ๊ณ  ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์‚ฐํ† ๋„๋ฐ๊ณ ์—์„œ ๋‰ด์š•์œผ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ๋‰ด์š• ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋‰ด์š•์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 6-11์ผ์ฐจ: 6์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ์•„๋ฐ”๋‚˜์—์„œ ๋ชฌํ…Œ๊ณ ๋ฒ ์ด๋กœ ๋น„ํ–‰. 11-12์ผ์ฐจ: 2์ผ๊ฐ„ ๋ชฌํ…Œ๊ณ ๋ฒ ์ด ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋ชฌํ…Œ๊ณ ๋ฒ ์ด์—์„œ ํ€˜๋ฒก์œผ๋กœ ๋น„ํ–‰. 12-18์ผ์ฐจ: 7์ผ๊ฐ„ ํ€˜๋ฒก ๋ฐฉ๋ฌธ.
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6
์ง์ ‘ ์ƒ์„ฑ
์ด 22์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ๋ชฌํ…Œ๋ ˆ์ด์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ํ˜ธ๋†€๋ฃฐ๋ฃจ์—์„œ 4์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ํ‚คํ† ์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ํ‚คํ† ๊ฐ€ ๋งˆ์ง€๋ง‰ ์—ฌ์ •์ง€์˜€์œผ๋ฉด ์ข‹๊ฒ ์Šต๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค์— ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ณผ 8์ผ ์‚ฌ์ด์— ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค์—์„œ ๋จธ๋ฌด๋ฅผ ๋ฏธ๋ฆฌ ํ˜ธํ…”์„ ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. 5์ผ ๋™์•ˆ์€ ์นด๋ฅดํƒ€๊ณ ์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ํ• ๋ผํŒŒ์— ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 10์ผ๊ณผ 13์ผ ์‚ฌ์ด์— ํ• ๋ผํŒŒ๋ฅผ ๊ฐ€์ด๋“œํ•ด์ค„ ํ˜„์ง€์ธ์„ ์„ญ์™ธํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ชฌํ…Œ๋ ˆ์ด์™€ ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค, ๋ชฌํ…Œ๋ ˆ์ด์™€ ํ˜ธ๋†€๋ฃฐ๋ฃจ, ํ˜ธ๋†€๋ฃฐ๋ฃจ์™€ ํ• ๋ผํŒŒ, ํ˜ธ๋†€๋ฃฐ๋ฃจ์™€ ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค, ๋ชฌํ…Œ๋ ˆ์ด์™€ ํ• ๋ผํŒŒ, ์นด๋ฅดํƒ€๊ณ ์™€ ํ• ๋ผํŒŒ, ํ‚คํ† ์™€ ํ• ๋ผํŒŒ, ํ‚คํ† ์™€ ์นด๋ฅดํƒ€๊ณ . ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 22์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํ˜ธ๋†€๋ฃฐ๋ฃจ์—์„œ ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค์—์„œ ๋ชฌํ…Œ๋ ˆ์ด๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ๋ชฌํ…Œ๋ ˆ์ด ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ชฌํ…Œ๋ ˆ์ด์—์„œ ํ• ๋ผํŒŒ๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ํ• ๋ผํŒŒ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ํ• ๋ผํŒŒ์—์„œ ์นด๋ฅดํƒ€๊ณ ๋กœ ๋น„ํ–‰. 13-17์ผ์ฐจ: 5์ผ๊ฐ„ ์นด๋ฅดํƒ€๊ณ  ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ์นด๋ฅดํƒ€๊ณ ์—์„œ ํ‚คํ† ๋กœ ๋น„ํ–‰. 17-22์ผ์ฐจ: 6์ผ๊ฐ„ ํ‚คํ†  ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 22 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to spend 3 days in Monterrey. You plan to spend 4 days in Honolulu. You want to spend 6 days in Quito. You want Quito to be your last stop. You'll be in Las Vegas for 5 days. You've already booked a hotel for your stay in Las Vegas between the 4th and 8th. You'll be in Carthage for 5 days. You'll be in Xalapa for 4 days. You have arranged for a local guide to show me around Xalapa between the 10th and the 13th. Here are the cities that have direct flights: Monterrey and Las Vegas, Monterrey and Honolulu, Honolulu and Xalapa, Honolulu and Las Vegas, Monterrey and Xalapa, Carthage and Xalapa, Quito and Xalapa, Quito and Carthage. Plan a trip to visit six cities in 22 days with direct flights.
Days 1-4: Visit Honolulu for 4 days. Day 4: Fly from Honolulu to Las Vegas. Days 4-8: Visit Las Vegas for 5 days. Day 8: Fly from Las Vegas to Monterrey. Days 8-10: Visit Monterrey for 3 days. Day 10: Fly from Monterrey to Xalapa. Days 10-13: Visit Xalapa for 4 days. Day 13: Fly from Xalapa to Carthage. Days 13-17: Visit Carthage for 5 days. Day 17: Fly from Carthage to Quito. Days 17-22: Visit Quito for 6 days.
๋ณ€์ˆ˜ ์ •์˜: M: ๋ชฌํ…Œ๋ ˆ์ด, H: ํ˜ธ๋†€๋ฃฐ๋ฃจ, Q: ํ‚คํ† , L: ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค, C: ์นด๋ฅดํƒ€๊ณ , J: ํ• ๋ผํŒŒ a_M: ๋ชฌํ…Œ๋ ˆ์ด ๋„์ฐฉ์ผ, d_M: ๋ชฌํ…Œ๋ ˆ์ด ์ถœ๋ฐœ์ผ a_H: ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋„์ฐฉ์ผ, d_H: ํ˜ธ๋†€๋ฃฐ๋ฃจ ์ถœ๋ฐœ์ผ a_Q: ํ‚คํ†  ๋„์ฐฉ์ผ, d_Q: ํ‚คํ†  ์ถœ๋ฐœ์ผ a_L: ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค ๋„์ฐฉ์ผ, d_L: ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค ์ถœ๋ฐœ์ผ a_C: ์นด๋ฅดํƒ€๊ณ  ๋„์ฐฉ์ผ, d_C: ์นด๋ฅดํƒ€๊ณ  ์ถœ๋ฐœ์ผ a_J: ํ• ๋ผํŒŒ ๋„์ฐฉ์ผ, d_J: ํ• ๋ผํŒŒ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_M - a_M + 1 = 3 d_H - a_H + 1 = 4 d_Q - a_Q + 1 = 6 d_L - a_L + 1 = 5 d_C - a_C + 1 = 5 d_J - a_J + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_M, d_H, d_Q, d_L, d_C, d_J) - min(a_M, a_H, a_Q, a_L, a_C, a_J) + 1 = 22 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: d_Q = 22 [4, 8] โˆฉ [a_L, d_L] โ‰  โˆ… [10, 13] โˆฉ [a_J, d_J] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (M โ†” L), (M โ†” H), (H โ†” J), (H โ†” L), (M โ†” J), (C โ†” J), (Q โ†” J), (Q โ†” C) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํ˜ธ๋†€๋ฃฐ๋ฃจ์—์„œ ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค์—์„œ ๋ชฌํ…Œ๋ ˆ์ด๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ๋ชฌํ…Œ๋ ˆ์ด ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ชฌํ…Œ๋ ˆ์ด์—์„œ ํ• ๋ผํŒŒ๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ํ• ๋ผํŒŒ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ํ• ๋ผํŒŒ์—์„œ ์นด๋ฅดํƒ€๊ณ ๋กœ ๋น„ํ–‰. 13-17์ผ์ฐจ: 5์ผ๊ฐ„ ์นด๋ฅดํƒ€๊ณ  ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ์นด๋ฅดํƒ€๊ณ ์—์„œ ํ‚คํ† ๋กœ ๋น„ํ–‰. 17-22์ผ์ฐจ: 6์ผ๊ฐ„ ํ‚คํ†  ๋ฐฉ๋ฌธ.
150
์•„๋ฉ”๋ฆฌ์นด
6
์ง์ ‘ ์ƒ์„ฑ
์ด 22์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์‚ฐํ‹ฐ์•„๊ณ ์—์„œ 7์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 10์ผ๊ณผ 16์ผ ์‚ฌ์ด์—๋Š” ์‚ฐํ‹ฐ์•„๊ณ  ์ˆœ๋ก€๊ธธ์„ ๊ฑธ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ์—์„œ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ 3์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๋ผํŒŒ์Šค์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ๋ฏธ๋‚˜์šฐ์Šค๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ๊ณผ 6์ผ ์‚ฌ์ด์— ๋ฏธ๋‚˜์šฐ์Šค์—์„œ ์•„๋งˆ์กด ํˆฌ์–ด๋ฅผ ์ฆ๊ธธ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ ๋™์•ˆ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ์™€ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค, ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์™€ ๋ชฌํ…Œ๋น„๋ฐ์˜ค, ์‚ฐํ‹ฐ์•„๊ณ ์™€ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค, ๋ผํŒŒ์Šค์™€ ๋ชฌํ…Œ๋น„๋ฐ์˜ค, ๋ผํŒŒ์Šค์™€ ์‚ฐํ‹ฐ์•„๊ณ , ๋ฏธ๋‚˜์šฐ์Šค์™€ ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ, ๋ฏธ๋‚˜์šฐ์Šค์™€ ์‚ฐํ‹ฐ์•„๊ณ , ๋ผํŒŒ์Šค์™€ ๋ฏธ๋‚˜์šฐ์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 22์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ์—์„œ ๋ฏธ๋‚˜์šฐ์Šค๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฏธ๋‚˜์šฐ์Šค ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋ฏธ๋‚˜์šฐ์Šค์—์„œ ๋ผํŒŒ์Šค๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ๋ผํŒŒ์Šค ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ผํŒŒ์Šค์—์„œ ์‚ฐํ‹ฐ์•„๊ณ ๋กœ ๋น„ํ–‰. 10-16์ผ์ฐจ: 7์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ  ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ์‚ฐํ‹ฐ์•„๊ณ ์—์„œ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค๋กœ ๋น„ํ–‰. 16-20์ผ์ฐจ: 5์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋ฐฉ๋ฌธ. 20์ผ์ฐจ: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋กœ ๋น„ํ–‰. 20-22์ผ์ฐจ: 3์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 22 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to spend 7 days in Santiago. Between the 10th and 16th, you'll walk the Camino de Santiago. You'll spend 5 days in Panama City. You want to spend 3 days in Montevideo. You'll spend 4 days in La Paz. I'll be in Minaus for 3 days. Between the 5th and 6th, you'll be in Minaus for an Amazon tour. You'll be in Buenos Aires for 5 days. Here are the cities that have direct flights: Panama City and Buenos Aires, Buenos Aires and Montevideo, Santiago and Buenos Aires, La Paz and Montevideo, La Paz and Santiago, Minaus and Panama City, Minaus and Santiago, La Paz and Minaus. Plan a trip to visit six cities in 22 days with direct flights.
Days 1-5: Visit Panama City for 5 days. Day 5: Fly from Panama City to Minaus. Days 5-7: Visit Minaus for 3 days. Day 7: Fly from Minaus to La Paz. Days 7-10: Visit La Paz for 4 days. Day 10: Fly from La Paz to Santiago. Days 10-16: Visit Santiago for 7 days. Day 16: Fly from Santiago to Buenos Aires. Days 16-20: Visit Buenos Aires for 5 days. Day 20: Fly from Buenos Aires to Montevideo. Days 20-22: Visit Montevideo for 3 days.
๋ณ€์ˆ˜ ์ •์˜: S: ์‚ฐํ‹ฐ์•„๊ณ , P: ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ, M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค, L: ๋ผํŒŒ์Šค, N: ๋ฏธ๋‚˜์šฐ์Šค, B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค a_S: ์‚ฐํ‹ฐ์•„๊ณ  ๋„์ฐฉ์ผ, d_S: ์‚ฐํ‹ฐ์•„๊ณ  ์ถœ๋ฐœ์ผ a_P: ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ ๋„์ฐฉ์ผ, d_P: ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ ์ถœ๋ฐœ์ผ a_M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋„์ฐฉ์ผ, d_M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค ์ถœ๋ฐœ์ผ a_L: ๋ผํŒŒ์Šค ๋„์ฐฉ์ผ, d_L: ๋ผํŒŒ์Šค ์ถœ๋ฐœ์ผ a_N: ๋ฏธ๋‚˜์šฐ์Šค ๋„์ฐฉ์ผ, d_N: ๋ฏธ๋‚˜์šฐ์Šค ์ถœ๋ฐœ์ผ a_B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋„์ฐฉ์ผ, d_B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_S - a_S + 1 = 7 d_P - a_P + 1 = 5 d_M - a_M + 1 = 3 d_L - a_L + 1 = 4 d_N - a_N + 1 = 3 d_B - a_B + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_S, d_P, d_M, d_L, d_N, d_B) - min(a_S, a_P, a_M, a_L, a_N, a_B) + 1 = 22 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [10, 16] โˆฉ [a_S, d_S] โ‰  โˆ… {5, 6} โІ [a_N, d_N] ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (P โ†” B), (B โ†” M), (S โ†” B), (L โ†” M), (L โ†” S), (N โ†” P), (N โ†” S), (L โ†” N) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ์—์„œ ๋ฏธ๋‚˜์šฐ์Šค๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฏธ๋‚˜์šฐ์Šค ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋ฏธ๋‚˜์šฐ์Šค์—์„œ ๋ผํŒŒ์Šค๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ๋ผํŒŒ์Šค ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ผํŒŒ์Šค์—์„œ ์‚ฐํ‹ฐ์•„๊ณ ๋กœ ๋น„ํ–‰. 10-16์ผ์ฐจ: 7์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ  ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ์‚ฐํ‹ฐ์•„๊ณ ์—์„œ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค๋กœ ๋น„ํ–‰. 16-20์ผ์ฐจ: 5์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋ฐฉ๋ฌธ. 20์ผ์ฐจ: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋กœ ๋น„ํ–‰. 20-22์ผ์ฐจ: 3์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋ฐฉ๋ฌธ.
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์•„๋ฉ”๋ฆฌ์นด
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์ง์ ‘ ์ƒ์„ฑ
์ด 15์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 2์ผ ๋™์•ˆ ๋†ˆ์„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ์—์„œ 3์ผ ๊ฐ„ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์—๋“œ๋จผํ„ด์—์„œ 4์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ ์Šคํฌ์บ”์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์‚ดํ‹ฐ์š”์—์„œ๋„ 3์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์‚ฐํƒ€๋กœ์‚ฌ๋ฐ์ฝ”ํŒ์—์„œ 5์ผ ๋™์•ˆ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋จธ๋ฌด๋Š” ์ผ์ž๊ฐ€ ๊ฐ€์žฅ ์งง์€ ๋„์‹œ๋ฅผ ์ฒซ๋ฒˆ์งธ๋กœ ๋ฐฉ๋ฌธํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์—๋“œ๋จผํ„ด๊ณผ ๋†ˆ, ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ์™€ ์‚ดํ‹ฐ์š”, ์Šคํฌ์บ”๊ณผ ์—๋“œ๋จผํ„ด, ์‚ดํ‹ฐ์š”์™€ ์Šคํฌ์บ”, ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ์™€ ์‚ฐํƒ€๋กœ์‚ฌ๋ฐ์ฝ”ํŒ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 15์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ๋†ˆ ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ๋†ˆ์—์„œ ์—๋“œ๋จผํ„ด์œผ๋กœ ๋น„ํ–‰. 2-5์ผ์ฐจ: 4์ผ๊ฐ„ ์—๋“œ๋จผํ„ด ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์—๋“œ๋จผํ„ด์—์„œ ์Šคํฌ์บ”์œผ๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ์Šคํฌ์บ” ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์Šคํฌ์บ”์—์„œ ์‚ดํ‹ฐ์š”๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ดํ‹ฐ์š” ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์‚ดํ‹ฐ์š”์—์„œ ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 9-11์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ์—์„œ ์‚ฐํƒ€๋กœ์‚ฌ๋ฐ์ฝ”ํŒ์œผ๋กœ ๋น„ํ–‰. 11-15์ผ์ฐจ: 5์ผ๊ฐ„ ์‚ฐํƒ€๋กœ์‚ฌ๋ฐ์ฝ”ํŒ ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 15 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll be visiting Nome for 2 days. You'll spend 3 days in Belize City. You'll spend 4 days in Edmonton. You'll spend 3 days in Spokane. You're going to spend 3 days in Saltillo. You will spend 5 days in Santa Rosa de Copan. You want to visit the city with the shortest number of days first. Here are the cities that have direct flights: Edmonton and Nome, Belize City and Saltillo, Spokane and Edmonton, Saltillo and Spokane, Belize City and Santa Rosa de Copan. Plan a trip to visit six cities in 15 days with direct flights.
Day 1-2: Visit Nome for 2 days. Day 2: Fly from Nome to Edmonton. Days 2-5: Visit Edmonton for 4 days. Day 5: Fly from Edmonton to Spokane. Days 5-7: Visit Spokane for 3 days. Day 7: Fly from Spokane to Saltillo. Days 7-9: Visit Saltillo for 3 days. Day 9: Fly from Saltillo to Belize City. Days 9-11: Visit Belize City for 3 days. Day 11: Fly from Belize City to Santa Rosa de Copan. Days 11-15: Visit Santa Rosa de Copan for 5 days.
๋ณ€์ˆ˜ ์ •์˜: N: ๋†ˆ, B: ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ, E: ์—๋“œ๋จผํ„ด, S: ์Šคํฌ์บ”, Sa: ์‚ดํ‹ฐ์š”, R: ์‚ฐํƒ€๋กœ์‚ฌ๋ฐ์ฝ”ํŒ a_N: ๋†ˆ ๋„์ฐฉ์ผ, d_N: ๋†ˆ ์ถœ๋ฐœ์ผ a_B: ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ ๋„์ฐฉ์ผ, d_B: ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ ์ถœ๋ฐœ์ผ a_E: ์—๋“œ๋จผํ„ด ๋„์ฐฉ์ผ, d_E: ์—๋“œ๋จผํ„ด ์ถœ๋ฐœ์ผ a_S: ์Šคํฌ์บ” ๋„์ฐฉ์ผ, d_S: ์Šคํฌ์บ” ์ถœ๋ฐœ์ผ a_Sa: ์‚ดํ‹ฐ์š” ๋„์ฐฉ์ผ, d_Sa: ์‚ดํ‹ฐ์š” ์ถœ๋ฐœ์ผ a_R: ์‚ฐํƒ€๋กœ์‚ฌ๋ฐ์ฝ”ํŒ ๋„์ฐฉ์ผ, d_R: ์‚ฐํƒ€๋กœ์‚ฌ๋ฐ์ฝ”ํŒ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_N - a_N + 1 = 2 d_B - a_B + 1 = 3 d_E - a_E + 1 = 4 d_S - a_S + 1 = 3 d_Sa - a_Sa + 1 = 3 d_R - a_R + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_N, d_B, d_E, d_S, d_Sa, d_R) - min(a_N, a_B, a_E, a_S, a_Sa, a_R) + 1 = 15 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: min(a_N, a_B, a_E, a_S, a_Sa, a_R) = a_N ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (E โ†” N), (B โ†” Sa), (S โ†” E), (Sa โ†” S), (B โ†” R) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ๋†ˆ ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ๋†ˆ์—์„œ ์—๋“œ๋จผํ„ด์œผ๋กœ ๋น„ํ–‰. 2-5์ผ์ฐจ: 4์ผ๊ฐ„ ์—๋“œ๋จผํ„ด ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์—๋“œ๋จผํ„ด์—์„œ ์Šคํฌ์บ”์œผ๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ์Šคํฌ์บ” ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์Šคํฌ์บ”์—์„œ ์‚ดํ‹ฐ์š”๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ดํ‹ฐ์š” ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์‚ดํ‹ฐ์š”์—์„œ ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 9-11์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ์—์„œ ์‚ฐํƒ€๋กœ์‚ฌ๋ฐ์ฝ”ํŒ์œผ๋กœ ๋น„ํ–‰. 11-15์ผ์ฐจ: 5์ผ๊ฐ„ ์‚ฐํƒ€๋กœ์‚ฌ๋ฐ์ฝ”ํŒ ๋ฐฉ๋ฌธ.
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์•„๋ฉ”๋ฆฌ์นด
6
์ง์ ‘ ์ƒ์„ฑ
์ด 24์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ผํŒŒ์Šค์—์„œ 6์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์นด๋„ฌ๋กœ๋„ค์Šค๋ฅผ 4์ผ๊ฐ„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 13-15์ผ์— ์นด๋„ฌ๋กœ๋„ค์Šค์—์„œ ์ฐธ์„ํ•ด์•ผ ํ•˜๋Š” ํ•™ํšŒ๊ฐ€ ์žˆ์Šต๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ์บ„ํ‘ธ๊ทธ๋ž€์ง€์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ๋กœ์‚ฌ๋ฆฌ์˜ค์—์„œ 5์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ํ…Œ๋ฌด์ฝ”์—์„œ 3์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 6์ผ๊ณผ 8์ผ ์‚ฌ์ด์— ํ…Œ๋ฌด์ฝ”์— ์žˆ๋Š” ์นœ์ฒ™์˜ ์ง‘์— ๋ฐฉ๋ฌธํ•˜๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ์•„์ˆœ์‹œ์˜จ์„ ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์•„์ˆœ์‹œ์˜จ์—์„œ ์—ฌํ–‰ 19์ผ์ฐจ์— ์ถ•๊ตฌ ๊ฒฝ๊ธฐ๋ฅผ ๋ณผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ผํŒŒ์Šค์™€ ์•„์ˆœ์‹œ์˜จ, ๋ผํŒŒ์Šค์™€ ํ…Œ๋ฌด์ฝ”, ํ…Œ๋ฌด์ฝ”์™€ ๋กœ์‚ฌ๋ฆฌ์˜ค, ํ…Œ๋ฌด์ฝ”์™€ ์นด๋„ฌ๋กœ๋„ค์Šค, ๋กœ์‚ฌ๋ฆฌ์˜ค์™€ ์นด๋„ฌ๋กœ๋„ค์Šค, ๋กœ์‚ฌ๋ฆฌ์˜ค์™€ ์บ„ํ‘ธ๊ทธ๋ž€์ง€, ์บ„ํ‘ธ๊ทธ๋ž€์ง€์™€ ์•„์ˆœ์‹œ์˜จ, ์บ„ํ‘ธ๊ทธ๋ž€์ง€์™€ ํ…Œ๋ฌด์ฝ”, ์นด๋„ฌ๋กœ๋„ค์™€ ์•„์ˆœ์‹œ์˜จ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 24์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ๋ผํŒŒ์Šค ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋ผํŒŒ์Šค์—์„œ ํ…Œ๋ฌด์ฝ”๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ํ…Œ๋ฌด์ฝ” ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํ…Œ๋ฌด์ฝ”์—์„œ ๋กœ์‚ฌ๋ฆฌ์˜ค๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ๋กœ์‚ฌ๋ฆฌ์˜ค ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋กœ์‚ฌ๋ฆฌ์˜ค์—์„œ ์นด๋„ฌ๋กœ๋„ค์Šค๋กœ ๋น„ํ–‰. 12-15์ผ์ฐจ: 4์ผ๊ฐ„ ์นด๋„ฌ๋กœ๋„ค์Šค ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ์นด๋„ฌ๋กœ๋„ค์Šค์—์„œ ์•„์ˆœ์‹œ์˜จ์œผ๋กœ ๋น„ํ–‰. 15-21์ผ์ฐจ: 7์ผ๊ฐ„ ์•„์ˆœ์‹œ์˜จ ๋ฐฉ๋ฌธ. 21์ผ์ฐจ: ์•„์ˆœ์‹œ์˜จ์—์„œ ์บ„ํ‘ธ๊ทธ๋ž€์ง€๋กœ ๋น„ํ–‰. 21-24์ผ์ฐจ: 4์ผ๊ฐ„ ์บ„ํ‘ธ๊ทธ๋ž€์ง€ ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 24 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will spend 6 days in La Paz. You will visit Canelones for 4 days. You have a conference to attend in Canelones from the 13th to the 15th. You want to spend 4 days in Campo Grande. You will be spending 5 days in Rosario. You'll be spending 3 days in Temuco. Between the 6th and 8th, you want to visit a relative's house in Temuco. You want to visit Asuncion for 7 days. You plan to watch a soccer game in Asuncion on day 19 of your trip. Here are the cities that have direct flights: La Paz and Asuncion, La Paz and Temuco, Temuco and Rosario, Temuco and Canelones, Rosario and Canelones, Rosario and Campo Grande, Campo Grande and Asuncion, Campo Grande and Temuco, Canelones and Asuncion. Plan a trip to visit six cities in 24 days with direct flights.
Days 1-6: Visit La Paz for 6 days. Day 6: Fly from La Paz to Temuco. Days 6-8: Visit Temuco for 3 days. Day 8: Fly from Temuco to Rosario. Days 8-12: Visit Rosario for 5 days. Day 12: Fly from Rosario to Canelones. Days 12-15: Visit Canelones for 4 days. Day 15: Fly from Canelones to Asuncion. Days 15-21: Visit Asuncion for 7 days. Day 21: Fly from Asuncion to Campo Grande. Days 21-24: Visit Campo Grande for 4 days.
๋ณ€์ˆ˜ ์ •์˜: L: ๋ผํŒŒ์Šค, C: ์นด๋„ฌ๋กœ๋„ค์Šค, G: ์บ„ํ‘ธ๊ทธ๋ž€์ง€, R: ๋กœ์‚ฌ๋ฆฌ์˜ค, T: ํ…Œ๋ฌด์ฝ”, A: ์•„์ˆœ์‹œ์˜จ a_L: ๋ผํŒŒ์Šค ๋„์ฐฉ์ผ, d_L: ๋ผํŒŒ์Šค ์ถœ๋ฐœ์ผ a_C: ์นด๋„ฌ๋กœ๋„ค์Šค ๋„์ฐฉ์ผ, d_C: ์นด๋„ฌ๋กœ๋„ค์Šค ์ถœ๋ฐœ์ผ a_G: ์บ„ํ‘ธ๊ทธ๋ž€์ง€ ๋„์ฐฉ์ผ, d_G: ์บ„ํ‘ธ๊ทธ๋ž€์ง€ ์ถœ๋ฐœ์ผ a_R: ๋กœ์‚ฌ๋ฆฌ์˜ค ๋„์ฐฉ์ผ, d_R: ๋กœ์‚ฌ๋ฆฌ์˜ค ์ถœ๋ฐœ์ผ a_T: ํ…Œ๋ฌด์ฝ” ๋„์ฐฉ์ผ, d_T: ํ…Œ๋ฌด์ฝ” ์ถœ๋ฐœ์ผ a_A: ์•„์ˆœ์‹œ์˜จ ๋„์ฐฉ์ผ, d_A: ์•„์ˆœ์‹œ์˜จ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_L - a_L + 1 = 6 d_C - a_C + 1 = 4 d_G - a_G + 1 = 4 d_R - a_R + 1 = 5 d_T - a_T + 1 = 3 d_A - a_A + 1 = 7 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_L, d_C, d_G, d_R, d_T, d_A) - min(a_L, a_C, a_G, a_R, a_T, a_A) + 1 = 24 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [13, 15] โІ [a_C, d_C] [6, 8] โˆฉ [a_T, d_T] โ‰  โˆ… a_A โ‰ค 19 โ‰ค d_A ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (L โ†” A), (L โ†” T), (T โ†” R), (T โ†” C), (R โ†” C), (R โ†” G), (G โ†” A), (G โ†” T), (C โ†” A) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ๋ผํŒŒ์Šค ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋ผํŒŒ์Šค์—์„œ ํ…Œ๋ฌด์ฝ”๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ํ…Œ๋ฌด์ฝ” ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํ…Œ๋ฌด์ฝ”์—์„œ ๋กœ์‚ฌ๋ฆฌ์˜ค๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ๋กœ์‚ฌ๋ฆฌ์˜ค ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋กœ์‚ฌ๋ฆฌ์˜ค์—์„œ ์นด๋„ฌ๋กœ๋„ค์Šค๋กœ ๋น„ํ–‰. 12-15์ผ์ฐจ: 4์ผ๊ฐ„ ์นด๋„ฌ๋กœ๋„ค์Šค ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ์นด๋„ฌ๋กœ๋„ค์Šค์—์„œ ์•„์ˆœ์‹œ์˜จ์œผ๋กœ ๋น„ํ–‰. 15-21์ผ์ฐจ: 7์ผ๊ฐ„ ์•„์ˆœ์‹œ์˜จ ๋ฐฉ๋ฌธ. 21์ผ์ฐจ: ์•„์ˆœ์‹œ์˜จ์—์„œ ์บ„ํ‘ธ๊ทธ๋ž€์ง€๋กœ ๋น„ํ–‰. 21-24์ผ์ฐจ: 4์ผ๊ฐ„ ์บ„ํ‘ธ๊ทธ๋ž€์ง€ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 9์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์นธ์ฟค์—์„œ 2์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 8์ผ์ฐจ์— ์นธ์ฟค์—์„œ ์นœ๊ตฌ ์ƒ์ผํŒŒํ‹ฐ์— ์ฐธ์„ํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๋ฉ”๋ฐ์ธ์—์„œ 5์ผ์„ ๋ณด๋‚ด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ์‚ฌ์šฐ๋ฐ”๋„๋ฅด๋ฅผ ๋ฐฉ๋ฌธํ•˜๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์นธ์ฟค๊ณผ ๋ฉ”๋ฐ์ธ, ์‚ฌ์šฐ๋ฐ”๋„๋ฅด์™€ ๋ฉ”๋ฐ์ธ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 9์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์‚ฌ์šฐ๋ฐ”๋„๋ฅด ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์‚ฌ์šฐ๋ฐ”๋„๋ฅด์—์„œ ๋ฉ”๋ฐ์ธ์œผ๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฉ”๋ฐ์ธ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ฉ”๋ฐ์ธ์—์„œ ์นธ์ฟค์œผ๋กœ ๋น„ํ–‰. 8-9์ผ์ฐจ: 2์ผ๊ฐ„ ์นธ์ฟค ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 9 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 2 days in Cancun. On day 8, you'll attend a friend's birthday party in Cancun. You'll spend 5 days in Medellรญn. On day 4, you'll visit Salvador. Here are the cities that have direct flights: Cancun and Medellรญn, Salvador and Medellรญn. Plan a trip to visit the three cities in 9 days using direct flights.
Days 1-4: Visit Salvador for 4 days. Day 4: Fly from Salvador to Medellรญn. Days 4-8: Visit Medellรญn for 5 days. Day 8: Fly from Medellรญn to Cancun. Days 8-9: Visit Cancun for 2 days.
๋ณ€์ˆ˜ ์ •์˜: C: ์นธ์ฟค, M: ๋ฉ”๋ฐ์ธ, S: ์‚ฌ์šฐ๋ฐ”๋„๋ฅด a_C: ์นธ์ฟค ๋„์ฐฉ์ผ, d_C: ์นธ์ฟค ์ถœ๋ฐœ์ผ a_M: ๋ฉ”๋ฐ์ธ ๋„์ฐฉ์ผ, d_M: ๋ฉ”๋ฐ์ธ ์ถœ๋ฐœ์ผ a_S: ์‚ฌ์šฐ๋ฐ”๋„๋ฅด ๋„์ฐฉ์ผ, d_S: ์‚ฌ์šฐ๋ฐ”๋„๋ฅด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_C - a_C + 1 = 2 d_M - a_M + 1 = 5 d_S - a_S + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_C, d_M, d_S) - min(a_C, a_M, a_S) + 1 = 9 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_C โ‰ค 8 โ‰ค d_C ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (C โ†” M), (S โ†” M) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์‚ฌ์šฐ๋ฐ”๋„๋ฅด ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์‚ฌ์šฐ๋ฐ”๋„๋ฅด์—์„œ ๋ฉ”๋ฐ์ธ์œผ๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฉ”๋ฐ์ธ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ฉ”๋ฐ์ธ์—์„œ ์นธ์ฟค์œผ๋กœ ๋น„ํ–‰. 8-9์ผ์ฐจ: 2์ผ๊ฐ„ ์นธ์ฟค ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 16์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 5์ผ ๋™์•ˆ ์‹œ์นด๊ณ ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 2์ผ๊ณผ 4์ผ ์‚ฌ์ด ์‹œ์นด๊ณ ์—์„œ ์‚ฌ์šฉํ•  ์ฐจ๋ฅผ ๋นŒ๋ ค๋‘์—ˆ์Šต๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ๋กœ์Šค์—”์ ค๋ ˆ์Šค์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ์—๋“œ๋จผํ„ด์—์„œ ๋จธ๋ฌด๋ฅผ ์ƒ๊ฐ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์—๋“œ๋จผํ„ด๊ณผ ์‹œ์นด๊ณ , ๋กœ์Šค์—”์ ค๋ ˆ์Šค์™€ ์—๋“œ๋จผํ„ด ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 16์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ์‹œ์นด๊ณ  ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์‹œ์นด๊ณ ์—์„œ ์—๋“œ๋จผํ„ด์œผ๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ: 6์ผ๊ฐ„ ์—๋“œ๋จผํ„ด ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์—๋“œ๋จผํ„ด์—์„œ ๋กœ์Šค์—”์ ค๋ ˆ์Šค๋กœ ๋น„ํ–‰. 10-16์ผ์ฐจ: 7์ผ๊ฐ„ ๋กœ์Šค์—”์ ค๋ ˆ์Šค ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 16 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will be visiting Chicago for 5 days. You've rented a car to use in Chicago between days 2 and 4. You'll spend 7 days in Los Angeles. You plan to spend 6 days in Edmonton. Here are the cities that have direct flights: Edmonton and Chicago, Los Angeles and Edmonton. Plan a trip to visit the three cities in 16 days using direct flights.
Days 1-5: Visit Chicago for 5 days. Day 5: Fly from Chicago to Edmonton. Days 5-10: Visit Edmonton for 6 days. Day 10: Fly from Edmonton to Los Angeles. Days 10-16: Visit Los Angeles for 7 days.
๋ณ€์ˆ˜ ์ •์˜: C: ์‹œ์นด๊ณ , L: ๋กœ์Šค์—”์ ค๋ ˆ์Šค, E: ์—๋“œ๋จผํ„ด a_C: ์‹œ์นด๊ณ  ๋„์ฐฉ์ผ, d_C: ์‹œ์นด๊ณ  ์ถœ๋ฐœ์ผ a_L: ๋กœ์Šค์—”์ ค๋ ˆ์Šค ๋„์ฐฉ์ผ, d_L: ๋กœ์Šค์—”์ ค๋ ˆ์Šค ์ถœ๋ฐœ์ผ a_E: ์—๋“œ๋จผํ„ด ๋„์ฐฉ์ผ, d_E: ์—๋“œ๋จผํ„ด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_C - a_C + 1 = 5 d_L - a_L + 1 = 7 d_E - a_E + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_C, d_L, d_E) - min(a_C, a_L, a_E) + 1 = 16 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [2, 4] โˆฉ [a_C, d_C] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (E โ†” C), (L โ†” E) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ์‹œ์นด๊ณ  ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์‹œ์นด๊ณ ์—์„œ ์—๋“œ๋จผํ„ด์œผ๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ: 6์ผ๊ฐ„ ์—๋“œ๋จผํ„ด ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์—๋“œ๋จผํ„ด์—์„œ ๋กœ์Šค์—”์ ค๋ ˆ์Šค๋กœ ๋น„ํ–‰. 10-16์ผ์ฐจ: 7์ผ๊ฐ„ ๋กœ์Šค์—”์ ค๋ ˆ์Šค ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 7์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์‚ฐํ‹ฐ์•„๊ณ , ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด, ํ‘ธ์—๋ฅดํ† ์ฝ”๋ฅดํ…Œ์Šค๋ฅผ ๊ฐ๊ฐ 3์ผ์”ฉ ๋ฐฉ๋ฌธํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 3์ผ์ฐจ์— ํ‘ธ์—๋ฅดํ† ์ฝ”๋ฅดํ…Œ์Šค์—์„œ ๋น„์ฆˆ๋‹ˆ์Šค ๋ฏธํŒ…์ด ์žˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์‚ฐํ‹ฐ์•„๊ณ ์™€ ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด, ํ‘ธ์—๋ฅดํ† ์ฝ”๋ฅดํ…Œ์Šค์™€ ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 7์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ํ‘ธ์—๋ฅดํ† ์ฝ”๋ฅดํ…Œ์Šค ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ํ‘ธ์—๋ฅดํ† ์ฝ”๋ฅดํ…Œ์Šค์—์„œ ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 3-5์ผ์ฐจ: 3์ผ๊ฐ„ ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด์—์„œ ์‚ฐํ‹ฐ์•„๊ณ ๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ  ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of seven days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You plan to visit Santiago, Spanish Town, and Puerto Cortes for 3 days each. On day 3, you have a business meeting in Puerto Cortes. Here are the cities that have direct flights: Santiago and Spanish Town, Puerto Cortes and Spanish Town. Plan your trip to visit three cities in seven days using direct flights.
Days 1-3: Visit Puerto Cortes for 3 days. Day 3: Fly from Puerto Cortes to Spanish Town. Days 3-5: Visit Spanish Town for 3 days. Day 5: Fly from Spanish Town to Santiago. Days 5-7: Visit Santiago for 3 days.
๋ณ€์ˆ˜ ์ •์˜: S: ์‚ฐํ‹ฐ์•„๊ณ , T: ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด, P: ํ‘ธ์—๋ฅดํ† ์ฝ”๋ฅดํ…Œ์Šค a_S: ์‚ฐํ‹ฐ์•„๊ณ  ๋„์ฐฉ์ผ, d_S: ์‚ฐํ‹ฐ์•„๊ณ  ์ถœ๋ฐœ์ผ a_T: ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด ๋„์ฐฉ์ผ, d_T: ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด ์ถœ๋ฐœ์ผ a_P: ํ‘ธ์—๋ฅดํ† ์ฝ”๋ฅดํ…Œ์Šค ๋„์ฐฉ์ผ, d_P: ํ‘ธ์—๋ฅดํ† ์ฝ”๋ฅดํ…Œ์Šค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_S - a_S + 1 = 3 d_T - a_T + 1 = 3 d_P - a_P + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_S, d_T, d_P) - min(a_S, a_T, a_P) + 1 = 7 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_P โ‰ค 3 โ‰ค d_P ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (S โ†” T), (P โ†” T) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ํ‘ธ์—๋ฅดํ† ์ฝ”๋ฅดํ…Œ์Šค ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ํ‘ธ์—๋ฅดํ† ์ฝ”๋ฅดํ…Œ์Šค์—์„œ ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 3-5์ผ์ฐจ: 3์ผ๊ฐ„ ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด์—์„œ ์‚ฐํ‹ฐ์•„๊ณ ๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ  ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 14์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 3์ผ์„ ์‚ฐํ˜ธ์„ธ์—์„œ ๋จธ๋ฌด๋ฅผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์‚ฐํƒ€ํด๋ผ๋ผ์—์„œ 7์ผ์„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ์—์„œ 6์ผ ๋™์•ˆ ์žˆ์„ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๋จธ๋ฌด๋Š” ์ผ์ •์ด ๊ฐ€์žฅ ๊ธด ๋„์‹œ๋ฅผ ์ฒซ๋ฒˆ์งธ๋กœ ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์‚ฐํ˜ธ์„ธ์™€ ์‚ฐํƒ€ํด๋ผ๋ผ, ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ์™€ ์‚ฐํ˜ธ์—. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 14์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ: 7์ผ๊ฐ„ ์‚ฐํƒ€ํด๋ผ๋ผ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์‚ฐํƒ€ํด๋ผ๋ผ์—์„œ ์‚ฐํ˜ธ์„ธ๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ฐํ˜ธ์„ธ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์‚ฐํ˜ธ์„ธ์—์„œ ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 9-14์ผ์ฐจ: 6์ผ๊ฐ„ ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 14 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You plan to spend 3 days in San Jose. You want to spend 7 days in Santa Clara. You'll be in Panama City for 6 days. You want to visit the city with the longest stay first. Here are the cities that have direct flights: San Jose and Santa Clara, Panama City and San Jose. Plan a trip to visit all three cities in 14 days using direct flights.
Days 1-7: Visit Santa Clara for 7 days. Day 7: Fly from Santa Clara to San Jose. Days 7-9: Visit San Jose for 3 days. Day 9: Fly from San Jose to Panama City. Days 9-14: Visit Panama City for 6 days.
๋ณ€์ˆ˜ ์ •์˜: S: ์‚ฐํ˜ธ์„ธ, C: ์‚ฐํƒ€ํด๋ผ๋ผ, P: ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ a_S: ์‚ฐํ˜ธ์„ธ ๋„์ฐฉ์ผ, d_S: ์‚ฐํ˜ธ์„ธ ์ถœ๋ฐœ์ผ a_C: ์‚ฐํƒ€ํด๋ผ๋ผ ๋„์ฐฉ์ผ, d_C: ์‚ฐํƒ€ํด๋ผ๋ผ ์ถœ๋ฐœ์ผ a_P: ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ ๋„์ฐฉ์ผ, d_P: ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_S - a_S + 1 = 3 d_C - a_C + 1 = 7 d_P - a_P + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_S, d_C, d_P) - min(a_S, a_C, a_P) + 1 = 14 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_C = 1 ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (S โ†” C), (P โ†” S) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ: 7์ผ๊ฐ„ ์‚ฐํƒ€ํด๋ผ๋ผ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์‚ฐํƒ€ํด๋ผ๋ผ์—์„œ ์‚ฐํ˜ธ์„ธ๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ฐํ˜ธ์„ธ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์‚ฐํ˜ธ์„ธ์—์„œ ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 9-14์ผ์ฐจ: 6์ผ๊ฐ„ ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 15์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ 4์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ์—์„œ 6์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ ์ด์Šคํ„ฐ์„ฌ์—์„œ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 13์ผ๊ณผ 14์ผ ์ด์Šคํ„ฐ์„ฌ ํˆฌ์–ด๋ฅผ ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋ฅผ ๋ฐฉ๋ฌธํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 7์ผ์ฐจ์— ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ ์ถ•๊ตฌ ์ง๊ด€์„ ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์™€ ๋ชฌํ…Œ๋น„๋ฐ์˜ค, ์ด์Šคํ„ฐ์„ฌ๊ณผ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค, ๋ชฌํ…Œ๋น„๋ฐ์˜ค์™€ ์ด์Šคํ„ฐ์„ฌ, ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ์™€ ๋ชฌํ…Œ๋น„๋ฐ์˜ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 15์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ์—์„œ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋กœ ๋น„ํ–‰. 6-10์ผ์ฐจ: 5์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ ์ด์Šคํ„ฐ์„ฌ์œผ๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ์ด์Šคํ„ฐ์„ฌ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 15 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to spend 4 days in Buenos Aires. You'll spend 6 days in Rio de Janeiro. You'll spend 3 days on Easter Island. I've booked a tour of Easter Island for the 13th and 14th. You'll be visiting Montevideo for 5 days. You will be watching a football match in Montevideo on the 7th day. Here are the cities that have direct flights: Buenos Aires and Montevideo, Easter Island and Buenos Aires, Montevideo and Easter Island, Rio de Janeiro and Montevideo. Plan a trip to visit four cities in 15 days with direct flights.
Days 1-6: Visit Rio de Janeiro for 6 days. Day 6: Fly from Rio de Janeiro to Montevideo. Days 6-10: Visit Montevideo for 5 days. Day 10: Fly from Montevideo to Buenos Aires. Days 10-13: Visit Buenos Aires for 4 days. Day 13: Fly from Buenos Aires to Easter Island. Days 13-15: Visit Easter Island for 3 days.
๋ณ€์ˆ˜ ์ •์˜: B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค, R: ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ, E: ์ด์Šคํ„ฐ์„ฌ, M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค a_B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋„์ฐฉ์ผ, d_B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ์ถœ๋ฐœ์ผ a_R: ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ ๋„์ฐฉ์ผ, d_R: ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ ์ถœ๋ฐœ์ผ a_E: ์ด์Šคํ„ฐ์„ฌ ๋„์ฐฉ์ผ, d_E: ์ด์Šคํ„ฐ์„ฌ ์ถœ๋ฐœ์ผ a_M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋„์ฐฉ์ผ, d_M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_B - a_B + 1 = 4 d_R - a_R + 1 = 6 d_E - a_E + 1 = 3 d_M - a_M + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_B, d_R, d_E, d_M) - min(a_B, a_R, a_E, a_M) + 1 = 15 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: {13, 14} โІ [a_E, d_E] 7 โˆˆ [a_M, d_M] ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (B โ†” M), (E โ†” B), (M โ†” E), (R โ†” M) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ์—์„œ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋กœ ๋น„ํ–‰. 6-10์ผ์ฐจ: 5์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ ์ด์Šคํ„ฐ์„ฌ์œผ๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ์ด์Šคํ„ฐ์„ฌ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 18์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์•„๋ฐ”๋‚˜์—์„œ 5์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 7์ผ ๋™์•ˆ ์›Œ์‹ฑํ„ดD.C์—์„œ ๋จธ๋ฌด๋ฅด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 15-16์ผ ์‚ฌ์ด ์›Œ์‹ฑํ„ดD.C์—์„œ ํ•˜๋Š” ๊ตญ์ œ ํšŒ์˜์— ์ฐธ์„ํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 5์ผ์„ ํ‚คํ† ์—์„œ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ์นธ์ฟค์„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ๊ณผ 8์ผ ์‚ฌ์ด์—๋Š” ์นธ์ฟค์— ์žˆ๋Š” ์นœ๊ตฌ์˜ ์ง‘์—์„œ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์•„๋ฐ”๋‚˜์™€ ์›Œ์‹ฑํ„ดD.C, ์นธ์ฟค๊ณผ ํ‚คํ† , ์นธ์ฟค๊ณผ ์•„๋ฐ”๋‚˜, ์›Œ์‹ฑํ„ดD.C๊ณผ ์นธ์ฟค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 18์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ํ‚คํ†  ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ํ‚คํ† ์—์„œ ์นธ์ฟค์œผ๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ์นธ์ฟค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์นธ์ฟค์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ์•„๋ฐ”๋‚˜์—์„œ ์›Œ์‹ฑํ„ดD.C๋กœ ๋น„ํ–‰. 12-18์ผ์ฐจ: 7์ผ๊ฐ„ ์›Œ์‹ฑํ„ดD.C ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 18 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You plan to spend 5 days in Havana. You want to spend 7 days in Washington, D.C. You want to attend an international conference in Washington, D.C. between the 15th and 16th. You'll spend 5 days in Quito. You'll visit Cancun for 4 days. You'll stay at a friend's house in Cancun between the 5th and 8th. Here are the cities that have direct flights: Havana and Washington, D.C., Cancun and Quito, Cancun and Havana, Washington, D.C. and Cancun. Plan a trip to visit four cities in 18 days using direct flights.
Days 1-5: Visit Quito for 5 days. Day 5: Fly from Quito to Cancun. Days 5-8: Visit Cancun for 4 days. Day 8: Fly from Cancun to Havana. Days 8-12: Visit Havana for 5 days. Day 12: Fly from Havana to Washington, D.C. Days 12-18: Visit Washington, D.C. for 7 days.
๋ณ€์ˆ˜ ์ •์˜: H: ์•„๋ฐ”๋‚˜, W: ์›Œ์‹ฑํ„ดD.C, Q: ํ‚คํ† , C: ์นธ์ฟค a_H: ์•„๋ฐ”๋‚˜ ๋„์ฐฉ์ผ, d_H: ์•„๋ฐ”๋‚˜ ์ถœ๋ฐœ์ผ a_W: ์›Œ์‹ฑํ„ดD.C ๋„์ฐฉ์ผ, d_W: ์›Œ์‹ฑํ„ดD.C ์ถœ๋ฐœ์ผ a_Q: ํ‚คํ†  ๋„์ฐฉ์ผ, d_Q: ํ‚คํ†  ์ถœ๋ฐœ์ผ a_C: ์นธ์ฟค ๋„์ฐฉ์ผ, d_C: ์นธ์ฟค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_H - a_H + 1 = 5 d_W - a_W + 1 = 7 d_Q - a_Q + 1 = 5 d_C - a_C + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_H, d_W, d_Q, d_C) - min(a_H, a_W, a_Q, a_C) + 1 = 18 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [15, 16] โˆฉ [a_W, d_W] โ‰  โˆ… [5, 8] โˆฉ [a_C, d_C] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (H โ†” W), (C โ†” Q), (C โ†” H), (W โ†” C) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ํ‚คํ†  ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ํ‚คํ† ์—์„œ ์นธ์ฟค์œผ๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ์นธ์ฟค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์นธ์ฟค์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 8-12์ผ์ฐจ: 5์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ์•„๋ฐ”๋‚˜์—์„œ ์›Œ์‹ฑํ„ดD.C๋กœ ๋น„ํ–‰. 12-18์ผ์ฐจ: 7์ผ๊ฐ„ ์›Œ์‹ฑํ„ดD.C ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 15์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ์—์ •์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๋น…ํ† ๋ฆฌ์•„์—์„œ ๋จธ๋ฌด๋ฅผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ์ฃผ๋…ธ๋ฅผ ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์—ฌ๋Ÿฌ ๋„์‹œ ์ค‘ ์ฃผ๋…ธ๋ฅผ ๊ฐ€์žฅ ์ฒซ๋ฒˆ์งธ๋กœ ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๋งˆ์‚ฌํ‹€๋ฆฐ์—์„œ๋Š” 3์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋น…ํ† ๋ฆฌ์•„์™€ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค, ์ฃผ๋…ธ์™€ ๋น…ํ† ๋ฆฌ์•„, ๋งˆ์‚ฌํ‹€๋ฆฐ๊ณผ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 15์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์ฃผ๋…ธ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์ฃผ๋…ธ์—์„œ ๋น…ํ† ๋ฆฌ์•„๋กœ ๋น„ํ–‰. 4-7์ผ์ฐจ: 4์ผ๊ฐ„ ๋น…ํ† ๋ฆฌ์•„ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋น…ํ† ๋ฆฌ์•„์—์„œ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค๋กœ ๋น„ํ–‰. 7-13์ผ์ฐจ: 7์ผ๊ฐ„ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค์—์„œ ๋งˆ์‚ฌํ‹€๋ฆฐ์œผ๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ๋งˆ์‚ฌํ‹€๋ฆฐ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 15 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 7 days in New Orleans. You'll spend four days in Victoria. You'll spend 4 days in Juneau. You would like to visit Juneau first among the various cities. You'll spend 3 days in Mazatlinn. Here are the cities that have direct flights: Victoria and New Orleans, Juneau and Victoria, Mazatlinn and New Orleans. Plan a trip to visit four cities in 15 days using direct flights.
Days 1-4: Visit Juneau for 4 days. Day 4: Fly from Juneau to Victoria. Days 4-7: Visit Victoria for 4 days. Day 7: Fly from Victoria to New Orleans. Days 7-13: Visit New Orleans for 7 days. Day 13: Fly from New Orleans to Mazatlinn. Days 13-15: Visit Mazatlinn for 3 days.
๋ณ€์ˆ˜ ์ •์˜: N: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค, V: ๋น…ํ† ๋ฆฌ์•„, J: ์ฃผ๋…ธ, M: ๋งˆ์‚ฌํ‹€๋ฆฐ a_N: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค ๋„์ฐฉ์ผ, d_N: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค ์ถœ๋ฐœ์ผ a_V: ๋น…ํ† ๋ฆฌ์•„ ๋„์ฐฉ์ผ, d_V: ๋น…ํ† ๋ฆฌ์•„ ์ถœ๋ฐœ์ผ a_J: ์ฃผ๋…ธ ๋„์ฐฉ์ผ, d_J: ์ฃผ๋…ธ ์ถœ๋ฐœ์ผ a_M: ๋งˆ์‚ฌํ‹€๋ฆฐ ๋„์ฐฉ์ผ, d_M: ๋งˆ์‚ฌํ‹€๋ฆฐ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_N - a_N + 1 = 7 d_V - a_V + 1 = 4 d_J - a_J + 1 = 4 d_M - a_M + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_N, d_V, d_J, d_M) - min(a_N, a_V, a_J, a_M) + 1 = 15 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_J = min(a_N, a_V, a_J, a_M) ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (V โ†” N), (J โ†” V), (M โ†” N) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์ฃผ๋…ธ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์ฃผ๋…ธ์—์„œ ๋น…ํ† ๋ฆฌ์•„๋กœ ๋น„ํ–‰. 4-7์ผ์ฐจ: 4์ผ๊ฐ„ ๋น…ํ† ๋ฆฌ์•„ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋น…ํ† ๋ฆฌ์•„์—์„œ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค๋กœ ๋น„ํ–‰. 7-13์ผ์ฐจ: 7์ผ๊ฐ„ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค์—์„œ ๋งˆ์‚ฌํ‹€๋ฆฐ์œผ๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ๋งˆ์‚ฌํ‹€๋ฆฐ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 16์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์—์„œ 5์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์—๋Š” ๋‘ ๋ฒˆ์งธ๋กœ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ํฌ๋ฅด๋“œํ”„๋ž‘์Šค๋ฅผ 7์ผ ๋™์•ˆ ๊ด€๊ด‘ํ•˜๋ ค ํ•ฉ๋‹ˆ๋‹ค. ํฌ๋ฅด๋“œํ”„๋ž‘์Šค์—์„œ 10-16์ผ ์‚ฌ์ด์— ๋จธ๋ฌผ ์ˆ™์†Œ๋ฅผ ๋ฏธ๋ฆฌ ์˜ˆ์•ฝํ•˜์˜€์Šต๋‹ˆ๋‹ค. ์บ์ŠคํŠธ๋ฆฌ์Šค์—์„œ 4์ผ ๋™์•ˆ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด๊ณผ ์„ธ์ธํŠธ์กฐ์ง€์Šค, ๋ธŒ๋ฆฌ์ง€ํƒ€์šด๊ณผ ์บ์ŠคํŠธ๋ฆฌ์Šค, ์„ธ์ธํŠธ์กฐ์ง€์Šค์™€ ์บ์ŠคํŠธ๋ฆฌ์Šค, ํฌ๋ฅด๋“œํ”„๋ž‘์Šค์™€ ์บ์ŠคํŠธ๋ฆฌ์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 16์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 3-7์ผ์ฐจ: 5์ผ๊ฐ„ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์—์„œ ์บ์ŠคํŠธ๋ฆฌ์Šค๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ์บ์ŠคํŠธ๋ฆฌ์Šค ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์บ์ŠคํŠธ๋ฆฌ์Šค์—์„œ ํฌ๋ฅด๋“œํ”„๋ž‘์Šค๋กœ ๋น„ํ–‰. 10-16์ผ์ฐจ: 7์ผ๊ฐ„ ํฌ๋ฅด๋“œํ”„๋ž‘์Šค ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 16 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to spend 5 days in Bridgetown. This will be your second visit to Bridgetown. You'll spend 3 days in St. George's. You're planning to spend 7 days in Fort-de-France. You have pre-booked a place to stay between 10-16 days in Fort-de-France. You will be staying in Castries for 4 days. Here are the cities that have direct flights: Bridgetown and St. George's, Bridgetown and Castries, St. George's and Castries, Fort-de-France and Castries. Plan your trip to visit four cities in 16 days with direct flights.
Days 1-3: Visit St. George's for 3 days. Day 3: Fly from St. George's to Bridgetown. Days 3-7: Visit Bridgetown for 5 days. Day 7: Fly from Bridgetown to Castries. Days 7-10: Visit Castries for 4 days. Day 10: Fly from Castries to Fort-de-France. Days 10-16: Visit Fort-de-France for 7 days.
๋ณ€์ˆ˜ ์ •์˜: B: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด, S: ์„ธ์ธํŠธ์กฐ์ง€์Šค, F: ํฌ๋ฅด๋“œํ”„๋ž‘์Šค, C: ์บ์ŠคํŠธ๋ฆฌ์Šค a_B: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋„์ฐฉ์ผ, d_B: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ์ถœ๋ฐœ์ผ a_S: ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋„์ฐฉ์ผ, d_S: ์„ธ์ธํŠธ์กฐ์ง€์Šค ์ถœ๋ฐœ์ผ a_F: ํฌ๋ฅด๋“œํ”„๋ž‘์Šค ๋„์ฐฉ์ผ, d_F: ํฌ๋ฅด๋“œํ”„๋ž‘์Šค ์ถœ๋ฐœ์ผ a_C: ์บ์ŠคํŠธ๋ฆฌ์Šค ๋„์ฐฉ์ผ, d_C: ์บ์ŠคํŠธ๋ฆฌ์Šค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_B - a_B + 1 = 5 d_S - a_S + 1 = 3 d_F - a_F + 1 = 7 d_C - a_C + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_B, d_S, d_F, d_C) - min(a_B, a_S, a_F, a_C) + 1 = 16 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: min(a_S, a_F, a_C) < a_B < max(d_S, d_F, d_C) [10, 16] โˆฉ [a_F, d_F] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (B โ†” S), (B โ†” C), (S โ†” C), (F โ†” C) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 3-7์ผ์ฐจ: 5์ผ๊ฐ„ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์—์„œ ์บ์ŠคํŠธ๋ฆฌ์Šค๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ์บ์ŠคํŠธ๋ฆฌ์Šค ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์บ์ŠคํŠธ๋ฆฌ์Šค์—์„œ ํฌ๋ฅด๋“œํ”„๋ž‘์Šค๋กœ ๋น„ํ–‰. 10-16์ผ์ฐจ: 7์ผ๊ฐ„ ํฌ๋ฅด๋“œํ”„๋ž‘์Šค ๋ฐฉ๋ฌธ.
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์ด 20์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์ฝ”ํŒŒ์นด๋ฐ”๋‚˜์—์„œ 5์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 3-4์ผ์—๋Š” ์ฝ”ํŒŒ์นด๋ฐ”๋‚˜์— ์žˆ๋Š” ๋ˆ„๋‚˜์˜ ์ง‘์—์„œ ์ž ์„ ์ž๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. ์นด์˜Œ์—์„œ 3์ผ ๋™์•ˆ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 13์ผ๊ณผ 15์ผ ์‚ฌ์ด์— ์นด์˜Œ์— ์žˆ๋Š” ์šฐ์ฃผ์„ผํ„ฐ์— ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์šฐ์•™์นด๋ฒจ๋ฆฌ์นด์—์„œ 3์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 6์ผ ๋™์•ˆ ์กฐ์ง€ํƒ€์šด์—์„œ ๋จธ๋ฌด๋ฅผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์™€ ์นด์˜Œ, ์กฐ์ง€ํƒ€์šด๊ณผ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„, ์ฝ”ํŒŒ์นด๋ฐ”๋‚˜์™€ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„, ์นด์˜Œ๊ณผ ์กฐ์ง€ํƒ€์šด, ์šฐ์•™์นด๋ฒจ๋ฆฌ์นด์™€ ์ฝ”ํŒŒ์นด๋ฐ”๋‚˜, ์šฐ์•™์นด๋ฒจ๋ฆฌ์นด์™€ ์นด์˜Œ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 20์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์šฐ์•™์นด๋ฒจ๋ฆฌ์นด ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์šฐ์•™์นด๋ฒจ๋ฆฌ์นด์—์„œ ์ฝ”ํŒŒ์นด๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 3-7์ผ์ฐจ: 5์ผ๊ฐ„ ์ฝ”ํŒŒ์นด๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์ฝ”ํŒŒ์นด๋ฐ”๋‚˜์—์„œ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„๋กœ ๋น„ํ–‰. 7-13์ผ์ฐจ: 7์ผ๊ฐ„ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์—์„œ ์นด์˜Œ์œผ๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ์นด์˜Œ ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ์นด์˜Œ์—์„œ ์กฐ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 15-20์ผ์ฐจ: 6์ผ๊ฐ„ ์กฐ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 20 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 5 days in Copacabana. On days 3-4 you'll sleep at your sister's house in Copacabana. You will spend 3 days in Cayenne. You want to visit the space center in Cayenne between the 13th and 15th. You will spend 3 days in Huancavelica. You'll be in Georgetown for 6 days. You will spend 7 days in Brasilia. Here are the cities that have direct flights: Brasilia and Cayenne, Georgetown and Brasilia, Copacabana and Brasilia, Cayenne and Georgetown, Uancavelica and Copacabana, Uancavelica and Cayenne. Plan a trip to visit five cities in 20 days with direct flights.
Days 1-3: Visit Huancavelica for 3 days. Day 3: Fly from Huancavelica to Copacabana. Days 3-7: Visit Copacabana for 5 days. Day 7: Fly from Copacabana to Brasilia. Days 7-13: Visit Brasilia for 7 days. Day 13: Fly from Brasilia to Cayenne. Days 13-15: Visit Cayenne for 3 days. Day 15: Fly from Cayenne to Georgetown. Days 15-20: Visit Georgetown for 6 days.
๋ณ€์ˆ˜ ์ •์˜: C: ์ฝ”ํŒŒ์นด๋ฐ”๋‚˜, K: ์นด์˜Œ, H: ์šฐ์•™์นด๋ฒจ๋ฆฌ์นด, G: ์กฐ์ง€ํƒ€์šด, B: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ a_C: ์ฝ”ํŒŒ์นด๋ฐ”๋‚˜ ๋„์ฐฉ์ผ, d_C: ์ฝ”ํŒŒ์นด๋ฐ”๋‚˜ ์ถœ๋ฐœ์ผ a_K: ์นด์˜Œ ๋„์ฐฉ์ผ, d_K: ์นด์˜Œ ์ถœ๋ฐœ์ผ a_H: ์šฐ์•™์นด๋ฒจ๋ฆฌ์นด ๋„์ฐฉ์ผ, d_H: ์šฐ์•™์นด๋ฒจ๋ฆฌ์นด ์ถœ๋ฐœ์ผ a_G: ์กฐ์ง€ํƒ€์šด ๋„์ฐฉ์ผ, d_G: ์กฐ์ง€ํƒ€์šด ์ถœ๋ฐœ์ผ a_B: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ๋„์ฐฉ์ผ, d_B: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_C - a_C + 1 = 5 d_K - a_K + 1 = 3 d_H - a_H + 1 = 3 d_G - a_G + 1 = 6 d_B - a_B + 1 = 7 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_C, d_K, d_H, d_G, d_B) - min(a_C, a_K, a_H, a_G, a_B) + 1 = 20 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: {3, 4} โІ [a_C, d_C] [13, 15] โˆฉ [a_K, d_K] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (B โ†” K), (G โ†” B), (C โ†” B), (K โ†” G), (H โ†” C), (H โ†” K) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์šฐ์•™์นด๋ฒจ๋ฆฌ์นด ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์šฐ์•™์นด๋ฒจ๋ฆฌ์นด์—์„œ ์ฝ”ํŒŒ์นด๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 3-7์ผ์ฐจ: 5์ผ๊ฐ„ ์ฝ”ํŒŒ์นด๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์ฝ”ํŒŒ์นด๋ฐ”๋‚˜์—์„œ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„๋กœ ๋น„ํ–‰. 7-13์ผ์ฐจ: 7์ผ๊ฐ„ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์—์„œ ์นด์˜Œ์œผ๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ์นด์˜Œ ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ์นด์˜Œ์—์„œ ์กฐ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 15-20์ผ์ฐจ: 6์ผ๊ฐ„ ์กฐ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 21์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ์•ต์ปค๋ฆฌ์ง€๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ๋‰ด์š•์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋‰ด์š•์—์„œ ์ง€๋‚ด๋Š” 10์ผ๊ณผ 15์ผ ์‚ฌ์ด์— ๋ฎค์ง€์ปฌ์„ ๋ณผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋งˆ์ด์• ๋ฏธ์—์„œ 5์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๋งˆ์ด์• ๋ฏธ์—์„œ 18์ผ๊ณผ 19์ผ ์‚ฌ์ด์— ์ฐจ๋ฅผ ํƒ€๊ณ  ๋‹ค๋‹ˆ๊ธฐ ์œ„ํ•ด ๋ ŒํŠธ์นด๋ฅผ ๋นŒ๋ ธ์Šต๋‹ˆ๋‹ค. 7์ผ ๋™์•ˆ ์œ„๋‹ˆํŽ™์—์„œ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์„ธ์ธํŠธ์กด์Šค์—์„œ 3์ผ ๋™์•ˆ ๋จธ๋ฌด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์•ต์ปค๋ฆฌ์ง€์™€ ์œ„๋‹ˆํŽ™, ์—ฅ์ปค๋ฆฌ์ง€์™€ ์„ธ์ธํŠธ์กด์Šค, ๋‰ด์š•๊ณผ ์œ„๋‹ˆํŽ™, ๋‰ด์š•๊ณผ ์„ธ์ธํŠธ์กด์Šค, ๋งˆ์ด์• ๋ฏธ์™€ ์œ„๋‹ˆํŽ™, ๋งˆ์ด์• ๋ฏธ์™€ ์„ธ์ธํŠธ์กด์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 21์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์•ต์ปค๋ฆฌ์ง€ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์•ต์ปค๋ฆฌ์ง€์—์„œ ์œ„๋‹ˆํŽ™๋กœ ๋น„ํ–‰. 4-10์ผ์ฐจ: 7์ผ๊ฐ„ ์œ„๋‹ˆํŽ™ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์œ„๋‹ˆํŽ™์—์„œ ๋‰ด์š•์œผ๋กœ ๋น„ํ–‰. 10-15์ผ์ฐจ: 6์ผ๊ฐ„ ๋‰ด์š• ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋‰ด์š•์—์„œ ์„ธ์ธํŠธ์กด์Šค๋กœ ๋น„ํ–‰. 15-17์ผ์ฐจ: 3์ผ๊ฐ„ ์„ธ์ธํŠธ์กด์Šค ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ์„ธ์ธํŠธ์กด์Šค์—์„œ ๋งˆ์ด์• ๋ฏธ๋กœ ๋น„ํ–‰. 17-21์ผ์ฐจ: 5์ผ๊ฐ„ ๋งˆ์ด์• ๋ฏธ ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 21 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll be visiting Anchorage for 4 days. You'll spend 6 days in New York. You'll see a musical between the 10th and 15th days in New York. You'll spend five days in Miami. You've rented a car to drive around between the 18th and 19th in Miami. You'll be in Winnipeg for 7 days. You plan to spend three days in St. John's. Here are the cities that have direct flights: Anchorage and Winnipeg, Anchorage and St. John's, New York and Winnipeg, New York and St. John's, Miami and Winnipeg, Miami and St. John's. Plan a trip to visit five cities in 21 days using direct flights.
Days 1-4: Visit Anchorage for 4 days. Day 4: Fly from Anchorage to Winnipeg. Days 4-10: Visit Winnipeg for 7 days. Day 10: Fly from Winnipeg to New York. Days 10-15: Visit New York for 6 days. Day 15: Fly from New York to St. John's. Days 15-17: Visit St. John's for 3 days. Day 17: Fly from St. John's to Miami. Days 17-21: Visit Miami for 5 days.
๋ณ€์ˆ˜ ์ •์˜: A: ์•ต์ปค๋ฆฌ์ง€, N: ๋‰ด์š•, M: ๋งˆ์ด์• ๋ฏธ, W: ์œ„๋‹ˆํŽ™, S: ์„ธ์ธํŠธ์กด์Šค a_A: ์•ต์ปค๋ฆฌ์ง€ ๋„์ฐฉ์ผ, d_A: ์•ต์ปค๋ฆฌ์ง€ ์ถœ๋ฐœ์ผ a_N: ๋‰ด์š• ๋„์ฐฉ์ผ, d_N: ๋‰ด์š• ์ถœ๋ฐœ์ผ a_M: ๋งˆ์ด์• ๋ฏธ ๋„์ฐฉ์ผ, d_M: ๋งˆ์ด์• ๋ฏธ ์ถœ๋ฐœ์ผ a_W: ์œ„๋‹ˆํŽ™ ๋„์ฐฉ์ผ, d_W: ์œ„๋‹ˆํŽ™ ์ถœ๋ฐœ์ผ a_S: ์„ธ์ธํŠธ์กด์Šค ๋„์ฐฉ์ผ, d_S: ์„ธ์ธํŠธ์กด์Šค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_A - a_A + 1 = 4 d_N - a_N + 1 = 6 d_M - a_M + 1 = 5 d_W - a_W + 1 = 7 d_S - a_S + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_A, d_N, d_M, d_W, d_S) - min(a_A, a_N, a_M, a_W, a_S) + 1 = 21 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [10, 15] โˆฉ [a_N, d_N] โ‰  โˆ… [18, 19] โˆฉ [a_M, d_M] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (A โ†” W), (A โ†” S), (N โ†” W), (N โ†” S), (M โ†” W), (M โ†” S) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์•ต์ปค๋ฆฌ์ง€ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์•ต์ปค๋ฆฌ์ง€์—์„œ ์œ„๋‹ˆํŽ™๋กœ ๋น„ํ–‰. 4-10์ผ์ฐจ: 7์ผ๊ฐ„ ์œ„๋‹ˆํŽ™ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์œ„๋‹ˆํŽ™์—์„œ ๋‰ด์š•์œผ๋กœ ๋น„ํ–‰. 10-15์ผ์ฐจ: 6์ผ๊ฐ„ ๋‰ด์š• ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋‰ด์š•์—์„œ ์„ธ์ธํŠธ์กด์Šค๋กœ ๋น„ํ–‰. 15-17์ผ์ฐจ: 3์ผ๊ฐ„ ์„ธ์ธํŠธ์กด์Šค ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ์„ธ์ธํŠธ์กด์Šค์—์„œ ๋งˆ์ด์• ๋ฏธ๋กœ ๋น„ํ–‰. 17-21์ผ์ฐจ: 5์ผ๊ฐ„ ๋งˆ์ด์• ๋ฏธ ๋ฐฉ๋ฌธ.
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์•„๋ฉ”๋ฆฌ์นด
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์ง์ ‘ ์ƒ์„ฑ
์ด 14์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ํ‘ธ์—๋ฅดํ† ํ”Œ๋ผํƒ€๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ํ—ค์‹œํ”ผ์—์„œ ๋จธ๋ฌผ๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์บ์ŠคํŠธ๋ฆฌ์Šค์— 3์ผ๊ฐ„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ 2์ผ ๋™์•ˆ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ํฌ๋ฅดํ† ํ”„๋žญ์Šค์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ํฌ๋ฅดํ† ํ”„๋žญ์Šค๊ฐ€ ๋งˆ์ง€๋ง‰ ์—ฌํ–‰์ง€์˜€์œผ๋ฉด ์ข‹๊ฒ ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํฌ๋ฅดํ† ํ”„๋žญ์Šค์™€ ํ‘ธ์—๋ฅดํ† ํ”Œ๋ผํƒ€, ํ—ค์‹œํ”ผ์™€ ์„ธ์ธํŠธ์กฐ์ง€์Šค, ์บ์ŠคํŠธ๋ฆฌ์Šค์™€ ํ‘ธ์—๋ฅดํ† ํ”Œ๋ผํƒ€, ์บ์ŠคํŠธ๋ฆฌ์Šค์™€ ์„ธ์ธํŠธ์กฐ์ง€์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 14์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ํ—ค์‹œํ”ผ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ํ—ค์‹œํ”ผ์—์„œ ์„ธ์ธํŠธ์กฐ์ง€์Šค๋กœ ๋น„ํ–‰. 5-6์ผ์ฐจ: 2์ผ๊ฐ„ ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ ์บ์ŠคํŠธ๋ฆฌ์Šค๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ์บ์ŠคํŠธ๋ฆฌ์Šค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์บ์ŠคํŠธ๋ฆฌ์Šค์—์„œ ํ‘ธ์—๋ฅดํ† ํ”Œ๋ผํƒ€๋กœ ๋น„ํ–‰. 8-11์ผ์ฐจ: 4์ผ๊ฐ„ ํ‘ธ์—๋ฅดํ† ํ”Œ๋ผํƒ€ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ํ‘ธ์—๋ฅดํ† ํ”Œ๋ผํƒ€์—์„œ ํฌ๋ฅดํ† ํ”„๋žญ์Šค๋กœ ๋น„ํ–‰. 11-14์ผ์ฐจ: 4์ผ๊ฐ„ ํฌ๋ฅดํ† ํ”„๋žญ์Šค ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 14 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll be visiting Puerto Plata for 4 days. You'll be staying in Recife for 5 days. You'll be in Castries for 3 days. You'll be in St. George's for 2 days. You will spend 4 days in Port-au-Prince, and you want it to be your last stop. Here are the cities that have direct flights: Port-au-Prince and Puerto Plata, Recife and St. George's, Castries and Puerto Plata, Castries and St. George's. Plan a trip to visit five cities in 14 days with direct flights.
Days 1-5: Visit Recife for 5 days. Day 5: Fly from Recife to St. George's. Days 5-6: Visit St. George's for 2 days. Day 6: Fly from St. George's to Castries. Days 6-8: Visit Castries for 3 days. Day 8: Fly from Castries to Puerto Plata. Days 8-11: Visit Puerto Plata for 4 days. Day 11: Fly from Puerto Plata to Port-au-Prince. Days 11-14: Visit Port-au-Prince for 4 days.
๋ณ€์ˆ˜ ์ •์˜: PP: ํ‘ธ์—๋ฅดํ† ํ”Œ๋ผํƒ€, R: ํ—ค์‹œํ”ผ, C: ์บ์ŠคํŠธ๋ฆฌ์Šค, SG: ์„ธ์ธํŠธ์กฐ์ง€์Šค, PF: ํฌ๋ฅดํ† ํ”„๋žญ์Šค a_PP: ํ‘ธ์—๋ฅดํ† ํ”Œ๋ผํƒ€ ๋„์ฐฉ์ผ, d_PP: ํ‘ธ์—๋ฅดํ† ํ”Œ๋ผํƒ€ ์ถœ๋ฐœ์ผ a_R: ํ—ค์‹œํ”ผ ๋„์ฐฉ์ผ, d_R: ํ—ค์‹œํ”ผ ์ถœ๋ฐœ์ผ a_C: ์บ์ŠคํŠธ๋ฆฌ์Šค ๋„์ฐฉ์ผ, d_C: ์บ์ŠคํŠธ๋ฆฌ์Šค ์ถœ๋ฐœ์ผ a_SG: ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋„์ฐฉ์ผ, d_SG: ์„ธ์ธํŠธ์กฐ์ง€์Šค ์ถœ๋ฐœ์ผ a_PF: ํฌ๋ฅดํ† ํ”„๋žญ์Šค ๋„์ฐฉ์ผ, d_PF: ํฌ๋ฅดํ† ํ”„๋žญ์Šค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_PP - a_PP + 1 = 4 d_R - a_R + 1 = 5 d_C - a_C + 1 = 3 d_SG - a_SG + 1 = 2 d_PF - a_PF + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_PP, d_R, d_C, d_SG, d_PF) - min(a_PP, a_R, a_C, a_SG, a_PF) + 1 = 14 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: d_PF = 14 (ํฌ๋ฅดํ† ํ”„๋žญ์Šค๊ฐ€ ๋งˆ์ง€๋ง‰ ์—ฌํ–‰์ง€) ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (PF โ†” PP), (R โ†” SG), (C โ†” PP), (C โ†” SG) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ํ—ค์‹œํ”ผ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ํ—ค์‹œํ”ผ์—์„œ ์„ธ์ธํŠธ์กฐ์ง€์Šค๋กœ ๋น„ํ–‰. 5-6์ผ์ฐจ: 2์ผ๊ฐ„ ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ ์บ์ŠคํŠธ๋ฆฌ์Šค๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ์บ์ŠคํŠธ๋ฆฌ์Šค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์บ์ŠคํŠธ๋ฆฌ์Šค์—์„œ ํ‘ธ์—๋ฅดํ† ํ”Œ๋ผํƒ€๋กœ ๋น„ํ–‰. 8-11์ผ์ฐจ: 4์ผ๊ฐ„ ํ‘ธ์—๋ฅดํ† ํ”Œ๋ผํƒ€ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ํ‘ธ์—๋ฅดํ† ํ”Œ๋ผํƒ€์—์„œ ํฌ๋ฅดํ† ํ”„๋žญ์Šค๋กœ ๋น„ํ–‰. 11-14์ผ์ฐจ: 4์ผ๊ฐ„ ํฌ๋ฅดํ† ํ”„๋žญ์Šค ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 20์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ์œ„์น˜ํ† ์—์„œ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๊ณผํ…Œ๋ง๋ผ์—์„œ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๊ณผํ…Œ๋ง๋ผ์—์„œ ์—ฌํ–‰ 13์ผ์ฐจ์— ์ €๋… ์•ฝ์†์ด ์žˆ์Šต๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ํ‘ธ์—๋ธ”๋ผ์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 8์ผ๊ณผ 10์ผ ์‚ฌ์ด์— ํ‘ธ์—๋ถˆ๋ผ์—์„œ ์ง„ํ–‰๋˜๋Š” ์นœ๊ตฌ์˜ ๊ฒฐํ˜ผ์‹์— ์ฐธ์„ํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ํ˜ธ๋†€๋ฃฐ๋ฃจ์—์„œ 6์ผ์„ ๋ณด๋‚ด๋ ค ํ•ฉ๋‹ˆ๋‹ค. ํ˜ธ๋†€๋ฃฐ๋ฃจ์— ์žˆ๋Š” ๋ฆฌ์กฐํŠธ์—์„œ 2-6์ผ ์‚ฌ์ด์— ์ˆ™๋ฐ•์„ ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์œ„์น˜ํ† ์™€ ํ›„๋†€๋ฃฐ๋ฃจ, ํ‘ธ์—๋ถˆ๋ผ์™€ ํ˜ธ๋†€๋ฃฐ๋ฃจ, ํ‘ธ์—๋ธ”๋ผ์™€ ์œ„์น˜ํ† , ์ฝฐํ…Œ๋ง๋ผ์™€ ์œ„์น˜ํ† , ๊ณผํ…Œ๋ง๋ผ์™€ ํ‘ธ์—๋ธ”๋ผ, ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ์™€ ํ‘ธ์—๋ธ”๋ผ, ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ์™€ ํ‘ธ์—๋ธ”๋ผ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 20์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ํ˜ธ๋†€๋ฃฐ๋ฃจ์—์„œ ์œ„์น˜ํ† ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ์œ„์น˜ํ†  ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์œ„์น˜ํ† ์—์„œ ํ‘ธ์—๋ถˆ๋ผ๋กœ ๋น„ํ–‰. 8-13์ผ์ฐจ: 6์ผ๊ฐ„ ํ‘ธ์—๋ถˆ๋ผ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ํ‘ธ์—๋ถˆ๋ผ์—์„œ ๊ณผํ…Œ๋ง๋ผ๋กœ ๋น„ํ–‰. 13-16์ผ์ฐจ: 4์ผ๊ฐ„ ๊ณผํ…Œ๋ง๋ผ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ๊ณผํ…Œ๋ง๋ผ์—์„œ ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 16-20์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 20 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll be in Wichita for 3 days. You'll be in Guatemala for 4 days. You have dinner plans on day 13 of your trip in Guatemala. You will spend 6 days in Puebla. You want to attend a friend's wedding in Puebla between the 8th and 10th. You will visit Belize City for 5 days. You want to spend 6 days in Honolulu. You will stay at a resort in Honolulu between days 2 and 6. Here are the cities that have direct flights: Wichita and Honolulu, Puebla and Honolulu, Puebla and Wichita, Quatemala and Wichita, Guatemala and Puebla, Belize City and Puebla, Belize City and Puebla. Plan a trip to visit five cities in 20 days with direct flights.
Days 1-6: Visit Honolulu for 6 days. Day 6: Fly from Honolulu to Wichita. Days 6-8: Visit Wichita for 3 days. Day 8: Fly from Wichita to Puebla. Days 8-13: Visit Puebla for 6 days. Day 13: Fly from Puebla to Guatemala. Days 13-16: Visit Guatemala for 4 days. Day 16: Fly from Guatemala to Belize City. Days 16-20: Visit Belize City for 5 days.
๋ณ€์ˆ˜ ์ •์˜: W: ์œ„์น˜ํ† , G: ๊ณผํ…Œ๋ง๋ผ, P: ํ‘ธ์—๋ธ”๋ผ, B: ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ, H: ํ˜ธ๋†€๋ฃฐ๋ฃจ a_W: ์œ„์น˜ํ†  ๋„์ฐฉ์ผ, d_W: ์œ„์น˜ํ†  ์ถœ๋ฐœ์ผ a_G: ๊ณผํ…Œ๋ง๋ผ ๋„์ฐฉ์ผ, d_G: ๊ณผํ…Œ๋ง๋ผ ์ถœ๋ฐœ์ผ a_P: ํ‘ธ์—๋ธ”๋ผ ๋„์ฐฉ์ผ, d_P: ํ‘ธ์—๋ธ”๋ผ ์ถœ๋ฐœ์ผ a_B: ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ ๋„์ฐฉ์ผ, d_B: ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ ์ถœ๋ฐœ์ผ a_H: ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋„์ฐฉ์ผ, d_H: ํ˜ธ๋†€๋ฃฐ๋ฃจ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_W - a_W + 1 = 3 d_G - a_G + 1 = 4 d_P - a_P + 1 = 6 d_B - a_B + 1 = 5 d_H - a_H + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_W, d_G, d_P, d_B, d_H) - min(a_W, a_G, a_P, a_B, a_H) + 1 = 20 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_G โ‰ค 13 โ‰ค d_G [8, 10] โˆฉ [a_P, d_P] โ‰  โˆ… [2, 6] โˆฉ [a_H, d_H] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (W โ†” H), (P โ†” H), (P โ†” W), (G โ†” W), (G โ†” P), (B โ†” P) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ํ˜ธ๋†€๋ฃฐ๋ฃจ์—์„œ ์œ„์น˜ํ† ๋กœ ๋น„ํ–‰. 6-8์ผ์ฐจ: 3์ผ๊ฐ„ ์œ„์น˜ํ†  ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์œ„์น˜ํ† ์—์„œ ํ‘ธ์—๋ถˆ๋ผ๋กœ ๋น„ํ–‰. 8-13์ผ์ฐจ: 6์ผ๊ฐ„ ํ‘ธ์—๋ถˆ๋ผ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ํ‘ธ์—๋ถˆ๋ผ์—์„œ ๊ณผํ…Œ๋ง๋ผ๋กœ ๋น„ํ–‰. 13-16์ผ์ฐจ: 4์ผ๊ฐ„ ๊ณผํ…Œ๋ง๋ผ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ๊ณผํ…Œ๋ง๋ผ์—์„œ ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 16-20์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฒจ๋ฆฌ์ฆˆ์‹œํ‹ฐ ๋ฐฉ๋ฌธ.
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6
์ง์ ‘ ์ƒ์„ฑ
์ด 22์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์—์„œ 5์ผ ๋™์•ˆ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ์˜คํƒ€์™€์—์„œ 4์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ํฌ๋ฅดํ† ํ”„๋žญ์Šค์—์„œ 3์ผ์„ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ํฌ๋ฅดํ† ํ”„๋žญ์Šค์—์„œ 16-18์ผ์— ์นœ์ฒ™์„ ๋งŒ๋‚  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ฒค์ฟ ๋ฒ„์—์„œ 6์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๋””ํŠธ๋กœ์ดํŠธ์—์„œ 4์ผ์„ ๋ณด๋‚ด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ์—ฌํ–‰ 11์ผ์ฐจ์— ๋””ํŠธ๋กœ์ดํŠธ์— ์œ ๋ช…ํ•œ ํ”ผ์ž์ง‘์„ ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ์‹œ์• ํ‹€์„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 2์ผ๊ณผ 4์ผ ์‚ฌ์ด์— ์‹œ์• ํ‹€์—์„œ ๋Œ€ํ•™ ์„ ๋ฐฐ๋ฅผ ๋งŒ๋‚˜๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋””ํŠธ๋กœ์ดํŠธ์™€ ์‹œ์• ํ‹€, ๋””ํŠธ๋กœ์ดํŠธ์™€ ์˜คํƒ€์™€, ๋ธŒ๋ฆฌ์ง€ํƒ€์šด๊ณผ ์˜คํƒ€์™€, ๋ธŒ๋ฆฌ์ง€ํƒ€์šด๊ณผ ๋””ํŠธ๋กœ์ดํŠธ, ํฌ๋ฅดํ† ํ”„๋žญ์Šค์™€ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด, ํฌ๋ฅดํ† ํ”„๋žญ์Šค์™€ ์˜คํƒ€์™€, ๋ฒค์ฟ ๋ฒ„์™€ ์‹œ์• ํ‹€, ๋ฒค์ฟ ๋ฒ„์™€ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด, ๋ฒค์ฟ ๋ฒ„์™€ ๋””ํŠธ๋กœ์ดํŠธ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 22์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ:5์ผ๊ฐ„ ์‹œ์• ํ‹€ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์‹œ์• ํ‹€์—์„œ ๋ฒค์ฟ ๋ฒ„๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ: 6์ผ๊ฐ„ ๋ฒค์ฟ ๋ฒ„ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ฒค์ฟ ๋ฒ„์—์„œ ๋””ํŠธ๋กœ์ดํŠธ๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ๋””ํŠธ๋กœ์ดํŠธ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋””ํŠธ๋กœ์ดํŠธ์—์„œ ์˜คํƒ€์™€๋กœ ๋น„ํ–‰. 13-16์ผ์ฐจ: 4์ผ๊ฐ„ ์˜คํƒ€์™€ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ์˜คํƒ€์™€์—์„œ ํฌ๋ฅดํ† ํ”„๋žญ์Šค๋กœ ๋น„ํ–‰. 16-18์ผ์ฐจ: 3์ผ๊ฐ„ ํฌ๋ฅดํ† ํ”„๋žญ์Šค ๋ฐฉ๋ฌธ. 18์ผ์ฐจ: ํฌ๋ฅดํ† ํ”„๋žญ์Šค์—์„œ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 18-22์ผ์ฐจ: 5์ผ๊ฐ„ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 22 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 5 days in Bridgetown. You'll spend 4 days in Ottawa. You'll spend 3 days in Port-au-Prince. You will be meeting relatives in Port-au-Prince on the 16th and 18th. You will spend 6 days in Vancouver. You're going to spend 4 days in Detroit. You have reservations at a famous pizza place in Detroit on day 11 of your trip. You're going to visit Seattle for 5 days. Between days 2 and 4, you plan to meet with a college senior in Seattle. Here are the cities that have direct flights: Detroit and Seattle, Detroit and Ottawa, Bridgetown and Ottawa, Bridgetown and Detroit, Port-au-Prince and Bridgetown, Port-au-Prince and Ottawa, Vancouver and Seattle, Vancouver and Bridgetown, Vancouver and Detroit. Plan a trip to visit six cities in 22 days with direct flights.
Days 1-5: Visit Seattle for 5 days. Day 5: Fly from Seattle to Vancouver. Days 5-10: Visit Vancouver for 6 days. Day 10: Fly from Vancouver to Detroit. Days 10-13: Visit Detroit for 4 days. Day 13: Fly from Detroit to Ottawa. Days 13-16: Visit Ottawa for 4 days. Day 16: Fly from Ottawa to Port-au-Prince. Days 16-18: Visit Port-au-Prince for 3 days. Day 18: Fly from Port-au-Prince to Bridgetown. Days 18-22: Visit Bridgetown for 5 days.
๋ณ€์ˆ˜ ์ •์˜: B: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด, O: ์˜คํƒ€์™€, P: ํฌ๋ฅดํ† ํ”„๋žญ์Šค, V: ๋ฒค์ฟ ๋ฒ„, D: ๋””ํŠธ๋กœ์ดํŠธ, S: ์‹œ์• ํ‹€ a_B: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋„์ฐฉ์ผ, d_B: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ์ถœ๋ฐœ์ผ a_O: ์˜คํƒ€์™€ ๋„์ฐฉ์ผ, d_O: ์˜คํƒ€์™€ ์ถœ๋ฐœ์ผ a_P: ํฌ๋ฅดํ† ํ”„๋žญ์Šค ๋„์ฐฉ์ผ, d_P: ํฌ๋ฅดํ† ํ”„๋žญ์Šค ์ถœ๋ฐœ์ผ a_V: ๋ฒค์ฟ ๋ฒ„ ๋„์ฐฉ์ผ, d_V: ๋ฒค์ฟ ๋ฒ„ ์ถœ๋ฐœ์ผ a_D: ๋””ํŠธ๋กœ์ดํŠธ ๋„์ฐฉ์ผ, d_D: ๋””ํŠธ๋กœ์ดํŠธ ์ถœ๋ฐœ์ผ a_S: ์‹œ์• ํ‹€ ๋„์ฐฉ์ผ, d_S: ์‹œ์• ํ‹€ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_B - a_B + 1 = 5 d_O - a_O + 1 = 4 d_P - a_P + 1 = 3 d_V - a_V + 1 = 6 d_D - a_D + 1 = 4 d_S - a_S + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_B, d_O, d_P, d_V, d_D, d_S) - min(a_B, a_O, a_P, a_V, a_D, a_S) + 1 = 22 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [16, 18] โˆฉ [a_P, d_P] โ‰  โˆ… a_D โ‰ค 11 โ‰ค d_D [2, 4] โˆฉ [a_S, d_S] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (D โ†” S), (D โ†” O), (B โ†” O), (B โ†” D), (P โ†” B), (P โ†” O), (V โ†” S), (V โ†” B), (V โ†” D) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ:5์ผ๊ฐ„ ์‹œ์• ํ‹€ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์‹œ์• ํ‹€์—์„œ ๋ฒค์ฟ ๋ฒ„๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ: 6์ผ๊ฐ„ ๋ฒค์ฟ ๋ฒ„ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ฒค์ฟ ๋ฒ„์—์„œ ๋””ํŠธ๋กœ์ดํŠธ๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ๋””ํŠธ๋กœ์ดํŠธ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋””ํŠธ๋กœ์ดํŠธ์—์„œ ์˜คํƒ€์™€๋กœ ๋น„ํ–‰. 13-16์ผ์ฐจ: 4์ผ๊ฐ„ ์˜คํƒ€์™€ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ์˜คํƒ€์™€์—์„œ ํฌ๋ฅดํ† ํ”„๋žญ์Šค๋กœ ๋น„ํ–‰. 16-18์ผ์ฐจ: 3์ผ๊ฐ„ ํฌ๋ฅดํ† ํ”„๋žญ์Šค ๋ฐฉ๋ฌธ. 18์ผ์ฐจ: ํฌ๋ฅดํ† ํ”„๋žญ์Šค์—์„œ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 18-22์ผ์ฐจ: 5์ผ๊ฐ„ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ.
166
์•„๋ฉ”๋ฆฌ์นด
6
์ง์ ‘ ์ƒ์„ฑ
์ด 22์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ์•„๋ฐ”๋‚˜์—์„œ ์—ฌํ–‰์„ ์ฆ๊ธธ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 11์ผ๊ณผ 15์ผ ์‚ฌ์ด์—๋Š” ์•„๋ฐ”๋‚˜์— ์žˆ๋Š” ๋™์ƒ์ง‘์—์„œ ์ˆ™๋ฐ•์„ ํ•ด๊ฒฐํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์œ„๋‹ˆํŽ™์—์„œ 3์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 2์ผ ๋™์•ˆ ํ‚น์Šคํ„ด์—์„œ ๋จธ๋ฌด๋ฅด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. 17์ผ๊ณผ 18์ผ์— ํ‚น์Šคํ„ด์— ์žˆ์—ˆ์œผ๋ฉด ์ข‹๊ฒ ์Šต๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค๋ฅผ ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์—ฌํ–‰ 3-5์ผ์ฐจ ์‚ฌ์ด์— ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค์—์„œ ๋†๊ตฌ ๊ฒฝ๊ธฐ๋ฅผ ๋ณผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์‚ฐํ† ๋„๋ฐ๊ณ ์—์„œ 5์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ๋ชฌํ…Œ๋ ˆ์ด์—์„œ ์ง€๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค์™€ ํ‚น์Šคํ„ด, ์•„๋ฐ”๋‚˜์™€ ๋ชฌํ…Œ๋ ˆ์ด, ์œ„๋‹ˆํŽ™๊ณผ ๋ชฌํ…Œ๋ ˆ์ด, ํ‚น์Šคํ„ด๊ณผ ์•„๋ฐ”๋‚˜, ์‚ฐํ† ๋„๋ฐ๊ณ ์™€ ํ‚น์Šคํ„ด, ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค์™€ ์œ„๋‹ˆํŽ™, ๋ชฌํ…Œ๋ ˆ์ด์™€ ์‚ฐํ† ๋„๋ฐ๊ณ , ๋ชฌํ…Œ๋ ˆ์ด์™€ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 22์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ:3์ผ๊ฐ„ ์œ„๋‹ˆํŽ™ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์œ„๋‹ˆํŽ™์—์„œ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค์—์„œ ๋ชฌํ…Œ๋ ˆ์ด๋กœ ๋น„ํ–‰. 6-11์ผ์ฐจ: 6์ผ๊ฐ„ ๋ชฌํ…Œ๋ ˆ์ด ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋ชฌํ…Œ๋ ˆ์ด์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 11-17์ผ์ฐจ: 7์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ์•„๋ฐ”๋‚˜์—์„œ ํ‚น์Šคํ„ด์œผ๋กœ ๋น„ํ–‰. 17-18์ผ์ฐจ: 2์ผ๊ฐ„ ํ‚น์Šคํ„ด ๋ฐฉ๋ฌธ. 18์ผ์ฐจ: ํ‚น์Šคํ„ด์—์„œ ์‚ฐํ† ๋„๋ฐ๊ณ ๋กœ ๋น„ํ–‰. 18-22์ผ์ฐจ: 5์ผ๊ฐ„ ์‚ฐํ† ๋„๋ฐ๊ณ  ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 22 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will spend 7 days in Havana. Between the 11th and 15th you will stay at your brother's house in Havana. You'll spend 3 days in Winnipeg. You're going to spend 2 days in Kingston. You'd like to be in Kingston on the 17th and 18th. You'd like to visit New Orleans for 4 days. Between days 3 and 5 of your trip, You'll watch a basketball game in New Orleans. You'll spend 5 days in Santo Domingo. You will spend 6 days in Monterrey. Here are the cities that have direct flights: New Orleans and Kingston, Havana and Monterrey, Winnipeg and Monterrey, Kingston and Havana, Santo Domingo and Kingston, New Orleans and Winnipeg, Monterrey and Santo Domingo, Monterrey and New Orleans. Plan a trip to visit six cities in 22 days with direct flights.
Days 1-3: Visit Winnipeg for 3 days. Day 3: Fly from Winnipeg to New Orleans. Days 3-6: Visit New Orleans for 4 days. Day 6: Fly from New Orleans to Monterrey. Days 6-11: Visit Monterrey for 6 days. Day 11: Fly from Monterrey to Havana. Days 11-17: Visit Havana for 7 days. Day 17: Fly from Havana to Kingston. Days 17-18: Visit Kingston for 2 days. Day 18: Fly from Kingston to Santo Domingo. Days 18-22: Visit Santo Domingo for 5 days.
๋ณ€์ˆ˜ ์ •์˜: H: ์•„๋ฐ”๋‚˜, W: ์œ„๋‹ˆํŽ™, K: ํ‚น์Šคํ„ด, N: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค, S: ์‚ฐํ† ๋„๋ฐ๊ณ , M: ๋ชฌํ…Œ๋ ˆ์ด a_H: ์•„๋ฐ”๋‚˜ ๋„์ฐฉ์ผ, d_H: ์•„๋ฐ”๋‚˜ ์ถœ๋ฐœ์ผ a_W: ์œ„๋‹ˆํŽ™ ๋„์ฐฉ์ผ, d_W: ์œ„๋‹ˆํŽ™ ์ถœ๋ฐœ์ผ a_K: ํ‚น์Šคํ„ด ๋„์ฐฉ์ผ, d_K: ํ‚น์Šคํ„ด ์ถœ๋ฐœ์ผ a_N: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค ๋„์ฐฉ์ผ, d_N: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค ์ถœ๋ฐœ์ผ a_S: ์‚ฐํ† ๋„๋ฐ๊ณ  ๋„์ฐฉ์ผ, d_S: ์‚ฐํ† ๋„๋ฐ๊ณ  ์ถœ๋ฐœ์ผ a_M: ๋ชฌํ…Œ๋ ˆ์ด ๋„์ฐฉ์ผ, d_M: ๋ชฌํ…Œ๋ ˆ์ด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_H - a_H + 1 = 7 d_W - a_W + 1 = 3 d_K - a_K + 1 = 2 d_N - a_N + 1 = 4 d_S - a_S + 1 = 5 d_M - a_M + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_H, d_W, d_K, d_N, d_S, d_M) - min(a_H, a_W, a_K, a_N, a_S, a_M) + 1 = 22 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [11, 15] โˆฉ [a_H, d_H] โ‰  โˆ… {17, 18} โІ [a_K, d_K] [3, 5] โˆฉ [a_N, d_N] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (N โ†” K), (H โ†” M), (W โ†” M), (K โ†” H), (S โ†” K), (N โ†” W), (M โ†” S), (M โ†” N) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ:3์ผ๊ฐ„ ์œ„๋‹ˆํŽ™ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์œ„๋‹ˆํŽ™์—์„œ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค์—์„œ ๋ชฌํ…Œ๋ ˆ์ด๋กœ ๋น„ํ–‰. 6-11์ผ์ฐจ: 6์ผ๊ฐ„ ๋ชฌํ…Œ๋ ˆ์ด ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋ชฌํ…Œ๋ ˆ์ด์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 11-17์ผ์ฐจ: 7์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ์•„๋ฐ”๋‚˜์—์„œ ํ‚น์Šคํ„ด์œผ๋กœ ๋น„ํ–‰. 17-18์ผ์ฐจ: 2์ผ๊ฐ„ ํ‚น์Šคํ„ด ๋ฐฉ๋ฌธ. 18์ผ์ฐจ: ํ‚น์Šคํ„ด์—์„œ ์‚ฐํ† ๋„๋ฐ๊ณ ๋กœ ๋น„ํ–‰. 18-22์ผ์ฐจ: 5์ผ๊ฐ„ ์‚ฐํ† ๋„๋ฐ๊ณ  ๋ฐฉ๋ฌธ.
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์•„๋ฉ”๋ฆฌ์นด
6
์ง์ ‘ ์ƒ์„ฑ
์ด 24์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ํ† ๋ก ํ† ์—์„œ 7์ผ์„ ๋จธ๋ฌผ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ํ† ๋ก ํ† ์— ์žˆ๋Š” ๋ณธ๊ฐ€์—์„œ 18์ผ๋ถ€ํ„ฐ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ์„ธ์ธํŠธ์กฐ์ง€์Šค๋ฅผ ๋ฐฉ๋ฌธํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 10์ผ์— ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ ์นœ๊ตฌ๋“ค์„ ๋งŒ๋‚˜ 15์ผ๊นŒ์ง€ ๋จธ๋ฌผ๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. 5์ผ ๋™์•ˆ ์บ์ŠคํŠธ๋ฆฌ์Šค์—์„œ ๋จธ๋ฌผ๊ณ ํ•ฉ๋‹ˆ๋‹ค. 4์ผ๊ณผ 6์ผ ์‚ฌ์ด์—๋Š” ์บ์ŠคํŠธ๋ฆฌ์Šค์— ์žˆ์–ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ํฌ๋ฅด๋“œํ”„๋ž‘์Šค์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์„ 3์ผ ๋™์•ˆ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๋งˆ์ด์• ๋ฏธ์—์„œ ์—ฌํ–‰์„ ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋งˆ์ด์• ๋ฏธ์™€ ์„ธ์ธํŠธ์กฐ์ง€์Šค, ํ† ๋ก ํ† ์™€ ๋งˆ์ด์• ๋ฏธ, ๋ธŒ๋ฆฌ์ง€ํƒ€์šด๊ณผ ํ† ๋ก ํ† , ๋ธŒ๋ฆฌ์ง€ํƒ€์šด๊ณผ ์„ธ์ธํŠธ์กฐ์ง€์Šค, ์บ์ŠคํŠธ๋ฆฌ์Šค์™€ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด, ์บ์ŠคํŠธ๋ฆฌ์Šค์™€ ๋งˆ์ด์• ๋ฏธ, ํฌ๋ฅด๋“œํ”„๋ž‘์Šค์™€ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด, ํฌ๋ฅด๋“œํ”„๋ž‘์Šค์™€ ์บ์ŠคํŠธ๋ฆฌ์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 24์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ:4์ผ๊ฐ„ ํฌ๋ฅด๋“œํ”„๋ž‘์Šค ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํฌ๋ฅด๋“œํ”„๋ž‘์Šค์—์„œ ์บ์ŠคํŠธ๋ฆฌ์Šค๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ์บ์ŠคํŠธ๋ฆฌ์Šค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์บ์ŠคํŠธ๋ฆฌ์Šค์—์„œ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์—์„œ ์„ธ์ธํŠธ์กฐ์ง€์Šค๋กœ ๋น„ํ–‰. 10-15์ผ์ฐจ: 6์ผ๊ฐ„ ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ ๋งˆ์ด์• ๋ฏธ๋กœ ๋น„ํ–‰. 15-18์ผ์ฐจ: 4์ผ๊ฐ„ ๋งˆ์ด์• ๋ฏธ ๋ฐฉ๋ฌธ. 18์ผ์ฐจ: ๋งˆ์ด์• ๋ฏธ์—์„œ ํ† ๋ก ํ† ๋กœ ๋น„ํ–‰. 18-24์ผ์ฐจ: 7์ผ๊ฐ„ ํ† ๋ก ํ†  ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 24 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to spend 7 days in Toronto. You'll be staying at your home in Toronto for 18 days. You'll be visiting St. George for 6 days. You're meeting friends in St. George on the 10th and staying until the 15th. You're staying in Castries for 5 days. You'll be in Castries between the 4th and 6th. You'll spend 4 days in Fort-de-France. You will visit Bridgetown for 3 days. You will travel from Miami for 4 days. Here are the cities that have direct flights: Miami and St. George's, Toronto and Miami, Bridgetown and Toronto, Bridgetown and St. George's, Castries and Bridgetown, Castries and Miami, Fort-de-France and Bridgetown, Fort-de-France and Castries. Plan a trip to visit six cities in 24 days with direct flights.
Days 1-4: Visit Fort-de-France for 4 days. Day 4: Fly from Fort-de-France to Castries. Days 4-8: Visit Castries for 5 days. Day 8: Fly from Castries to Bridgetown. Days 8-10: Visit Bridgetown for 3 days. Day 10: Fly from Bridgetown to St. George's. Days 10-15: Visit St. George's for 6 days. Day 15: Fly from St. George's to Miami. Days 15-18: Visit Miami for 4 days. Day 18: Fly from Miami to Toronto. Days 18-24: Visit Toronto for 7 days.
๋ณ€์ˆ˜ ์ •์˜: T: ํ† ๋ก ํ† , S: ์„ธ์ธํŠธ์กฐ์ง€์Šค, C: ์บ์ŠคํŠธ๋ฆฌ์Šค, F: ํฌ๋ฅด๋“œํ”„๋ž‘์Šค, B: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด, M: ๋งˆ์ด์• ๋ฏธ a_T: ํ† ๋ก ํ†  ๋„์ฐฉ์ผ, d_T: ํ† ๋ก ํ†  ์ถœ๋ฐœ์ผ a_S: ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋„์ฐฉ์ผ, d_S: ์„ธ์ธํŠธ์กฐ์ง€์Šค ์ถœ๋ฐœ์ผ a_C: ์บ์ŠคํŠธ๋ฆฌ์Šค ๋„์ฐฉ์ผ, d_C: ์บ์ŠคํŠธ๋ฆฌ์Šค ์ถœ๋ฐœ์ผ a_F: ํฌ๋ฅด๋“œํ”„๋ž‘์Šค ๋„์ฐฉ์ผ, d_F: ํฌ๋ฅด๋“œํ”„๋ž‘์Šค ์ถœ๋ฐœ์ผ a_B: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋„์ฐฉ์ผ, d_B: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ์ถœ๋ฐœ์ผ a_M: ๋งˆ์ด์• ๋ฏธ ๋„์ฐฉ์ผ, d_M: ๋งˆ์ด์• ๋ฏธ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_T - a_T + 1 = 7 d_S - a_S + 1 = 6 d_C - a_C + 1 = 5 d_F - a_F + 1 = 4 d_B - a_B + 1 = 3 d_M - a_M + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_T, d_S, d_C, d_F, d_B, d_M) - min(a_T, a_S, a_C, a_F, a_B, a_M) + 1 = 24 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: 18 โ‰ค a_T โ‰ค d_T 10 โ‰ค a_S โ‰ค 15 โ‰ค d_S [4, 6] โˆฉ [a_C, d_C] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (M โ†” S), (T โ†” M), (B โ†” T), (B โ†” S), (C โ†” B), (C โ†” M), (F โ†” B), (F โ†” C) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ:4์ผ๊ฐ„ ํฌ๋ฅด๋“œํ”„๋ž‘์Šค ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํฌ๋ฅด๋“œํ”„๋ž‘์Šค์—์„œ ์บ์ŠคํŠธ๋ฆฌ์Šค๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ์บ์ŠคํŠธ๋ฆฌ์Šค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์บ์ŠคํŠธ๋ฆฌ์Šค์—์„œ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์—์„œ ์„ธ์ธํŠธ์กฐ์ง€์Šค๋กœ ๋น„ํ–‰. 10-15์ผ์ฐจ: 6์ผ๊ฐ„ ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ ๋งˆ์ด์• ๋ฏธ๋กœ ๋น„ํ–‰. 15-18์ผ์ฐจ: 4์ผ๊ฐ„ ๋งˆ์ด์• ๋ฏธ ๋ฐฉ๋ฌธ. 18์ผ์ฐจ: ๋งˆ์ด์• ๋ฏธ์—์„œ ํ† ๋ก ํ† ๋กœ ๋น„ํ–‰. 18-24์ผ์ฐจ: 7์ผ๊ฐ„ ํ† ๋ก ํ†  ๋ฐฉ๋ฌธ.
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์•„๋ฉ”๋ฆฌ์นด
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์ง์ ‘ ์ƒ์„ฑ
์ด 19์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด๊ฐ€ ๋‹ค์„ฏ๋ฒˆ์งธ ์—ฌ์ •์ง€์˜€์œผ๋ฉด ํ•ฉ๋‹ˆ๋‹ค. ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์—์„œ๋„ 3์ผ์„ ๋จธ๋ฌผ๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ์•„๋ฅดํ‹ฐ๊ฐ€์Šค์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„๋ฅผ ์—ฌํ–‰ํ•˜๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ์ด์Šคํ„ฐ์„ฌ์—์„œ 7์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ์‚ฐ์นด๋ฅผ๋กœ์Šค๋ฐ๋ฐ”๋ฆด๋กœ์ฒด๋ฅผ ๋ฐฉ๋ฌธํ•˜๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์‚ฐ์นด๋ฅผ๋กœ์Šค๋ฐ๋ฐ”๋ฆด๋กœ์ฒด์™€ ์•„๋ฅดํ‹ฐ๊ฐ€์Šค, ์ด์Šคํ„ฐ์„ฌ๊ณผ ์‚ฐ์นด๋ฅผ๋กœ์Šค๋ฐ๋ฐ”๋ฆด๋กœ์ฒด, ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์™€ ์•„๋ฅดํ‹ฐ๊ฐ€์Šค, ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์™€ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„, ๋ธŒ๋ฆฌ์ง€ํƒ€์šด๊ณผ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 19์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ:7์ผ๊ฐ„ ์ด์Šคํ„ฐ์„ฌ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์ด์Šคํ„ฐ์„ฌ์—์„œ ์‚ฐ์นด๋ฅผ๋กœ์Šค๋ฐ๋ฐ”๋ฆด๋กœ์ฒด๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ฐ์นด๋ฅผ๋กœ์Šค๋ฐ๋ฐ”๋ฆด๋กœ์ฒด ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์‚ฐ์นด๋ฅผ๋กœ์Šค๋ฐ๋ฐ”๋ฆด๋กœ์ฒด์—์„œ ์•„๋ฅดํ‹ฐ๊ฐ€์Šค๋กœ ๋น„ํ–‰. 9-13์ผ์ฐจ: 5์ผ๊ฐ„ ์•„๋ฅดํ‹ฐ๊ฐ€์Šค ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ์•„๋ฅดํ‹ฐ๊ฐ€์Šค์—์„œ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์—์„œ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด๋กœ ๋น„ํ–‰. 15-17์ผ์ฐจ: 3์ผ๊ฐ„ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์—์„œ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 17-19์ผ์ฐจ: 3์ผ๊ฐ„ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 19 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will be in Paramaribo for 3 days. You want Paramaribo to be your fifth stop on your itinerary. You'll also spend three days in Bridgetown. You'll spend five days in Artigas. You want to travel to Brasilia for 3 days. You want to spend 7 days on Easter Island. You want to visit San Carlos de Bariloche for 3 days. Here are the cities that have direct flights: San Carlos de Bariloche and Artigas, Easter Island and San Carlos de Bariloche, Brasilia and Artigas, Paramaribo and Brasilia, Bridgetown and Paramaribo. Plan a trip to visit six cities in 19 days with direct flights.
Days 1-7: Visit Easter Island for 7 days. Day 7: Fly from Easter Island to San Carlos de Bariloche. Days 7-9: Visit San Carlos de Bariloche for 3 days. Day 9: Fly from San Carlos de Bariloche to Artigas. Days 9-13: Visit Artigas for 5 days. Day 13: Fly from Artigas to Brasilia. Days 13-15: Visit Brasilia for 3 days. Day 15: Fly from Brasilia to Paramaribo. Days 15-17: Visit Paramaribo for 3 days. Day 17: Fly from Paramaribo to Bridgetown. Days 17-19: Visit Bridgetown for 3 days.
๋ณ€์ˆ˜ ์ •์˜: P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด, B: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด, A: ์•„๋ฅดํ‹ฐ๊ฐ€์Šค, R: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„, E: ์ด์Šคํ„ฐ์„ฌ, S: ์‚ฐ์นด๋ฅผ๋กœ์Šค๋ฐ๋ฐ”๋ฆด๋กœ์ฒด a_P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋„์ฐฉ์ผ, d_P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ์ถœ๋ฐœ์ผ a_B: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋„์ฐฉ์ผ, d_B: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ์ถœ๋ฐœ์ผ a_A: ์•„๋ฅดํ‹ฐ๊ฐ€์Šค ๋„์ฐฉ์ผ, d_A: ์•„๋ฅดํ‹ฐ๊ฐ€์Šค ์ถœ๋ฐœ์ผ a_R: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ๋„์ฐฉ์ผ, d_R: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ์ถœ๋ฐœ์ผ a_E: ์ด์Šคํ„ฐ์„ฌ ๋„์ฐฉ์ผ, d_E: ์ด์Šคํ„ฐ์„ฌ ์ถœ๋ฐœ์ผ a_S: ์‚ฐ์นด๋ฅผ๋กœ์Šค๋ฐ๋ฐ”๋ฆด๋กœ์ฒด ๋„์ฐฉ์ผ, d_S: ์‚ฐ์นด๋ฅผ๋กœ์Šค๋ฐ๋ฐ”๋ฆด๋กœ์ฒด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_P - a_P + 1 = 3 d_B - a_B + 1 = 3 d_A - a_A + 1 = 5 d_R - a_R + 1 = 3 d_E - a_E + 1 = 7 d_S - a_S + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_P, d_B, d_A, d_R, d_E, d_S) - min(a_P, a_B, a_A, a_R, a_E, a_S) + 1 = 19 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_P > a_B, a_P > a_A, a_P > a_R, a_P > a_S ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (S โ†” A), (E โ†” S), (R โ†” A), (P โ†” R), (B โ†” P) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ:7์ผ๊ฐ„ ์ด์Šคํ„ฐ์„ฌ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์ด์Šคํ„ฐ์„ฌ์—์„œ ์‚ฐ์นด๋ฅผ๋กœ์Šค๋ฐ๋ฐ”๋ฆด๋กœ์ฒด๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ฐ์นด๋ฅผ๋กœ์Šค๋ฐ๋ฐ”๋ฆด๋กœ์ฒด ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์‚ฐ์นด๋ฅผ๋กœ์Šค๋ฐ๋ฐ”๋ฆด๋กœ์ฒด์—์„œ ์•„๋ฅดํ‹ฐ๊ฐ€์Šค๋กœ ๋น„ํ–‰. 9-13์ผ์ฐจ: 5์ผ๊ฐ„ ์•„๋ฅดํ‹ฐ๊ฐ€์Šค ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ์•„๋ฅดํ‹ฐ๊ฐ€์Šค์—์„œ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์—์„œ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด๋กœ ๋น„ํ–‰. 15-17์ผ์ฐจ: 3์ผ๊ฐ„ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์—์„œ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 17-19์ผ์ฐจ: 3์ผ๊ฐ„ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 11์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 5์ผ ๋™์•ˆ ๋ฒค์ฟ ๋ฒ„์—์„œ ๋จธ๋ฌด๋ฅด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์—ฌํ–‰ 8์ผ์ฐจ์— ๋ฒค์ฟ ๋ฒ„์— ์žˆ๋Š” ์นœ๊ตฌ์˜ ์ง‘์—์„œ ์ƒ์ผํŒŒํ‹ฐ๋ฅผ ํ•˜๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ๋งˆ์šฐ์ด๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ํŽ˜์–ด๋ฑ…ํฌ์Šค์—์„œ 3์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํŽ˜์–ด๋ฑ…ํฌ์Šค์™€ ๋งˆ์šฐ์ด, ๋ฒค์ฟ ๋ฒ„์™€ ํŽ˜์–ด๋ฒตํฌ์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 11์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋งˆ์šฐ์ด ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋งˆ์šฐ์ด์—์„œ ํŽ˜์–ด๋ฑ…ํฌ์Šค๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ํŽ˜์–ด๋ฑ…ํฌ์Šค ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ํŽ˜์–ด๋ฑ…ํฌ์Šค์—์„œ ๋ฒค์ฟ ๋ฒ„๋กœ ๋น„ํ–‰. 7-11์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฒค์ฟ ๋ฒ„ ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 11 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to spend 5 days in Vancouver. You have a birthday party at a friend's house in Vancouver on day 8 of your trip. You will visit Maui for 5 days. You plan to spend 3 days in Fairbanks. Here are the cities that have direct flights: Fairbanks and Maui, Vancouver and Fairbanks. Plan a trip to visit the three cities in 11 days using direct flights.
Days 1-5: Visit Maui for 5 days. Day 5: Fly from Maui to Fairbanks. Days 5-7: Visit Fairbanks for 3 days. Day 7: Fly from Fairbanks to Vancouver. Days 7-11: Visit Vancouver for 5 days.
๋ณ€์ˆ˜ ์ •์˜: V: ๋ฒค์ฟ ๋ฒ„, M: ๋งˆ์šฐ์ด, F: ํŽ˜์–ด๋ฑ…ํฌ์Šค a_V: ๋ฒค์ฟ ๋ฒ„ ๋„์ฐฉ์ผ, d_V: ๋ฒค์ฟ ๋ฒ„ ์ถœ๋ฐœ์ผ a_M: ๋งˆ์šฐ์ด ๋„์ฐฉ์ผ, d_M: ๋งˆ์šฐ์ด ์ถœ๋ฐœ์ผ a_F: ํŽ˜์–ด๋ฑ…ํฌ์Šค ๋„์ฐฉ์ผ, d_F: ํŽ˜์–ด๋ฑ…ํฌ์Šค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_V - a_V + 1 = 5 d_M - a_M + 1 = 5 d_F - a_F + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_V, d_M, d_F) - min(a_V, a_M, a_F) + 1 = 11 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_V โ‰ค 8 โ‰ค d_V ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (F โ†” M), (V โ†” F) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋งˆ์šฐ์ด ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋งˆ์šฐ์ด์—์„œ ํŽ˜์–ด๋ฑ…ํฌ์Šค๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ํŽ˜์–ด๋ฑ…ํฌ์Šค ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ํŽ˜์–ด๋ฑ…ํฌ์Šค์—์„œ ๋ฒค์ฟ ๋ฒ„๋กœ ๋น„ํ–‰. 7-11์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฒค์ฟ ๋ฒ„ ๋ฐฉ๋ฌธ.
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์ด 12์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ์‚ฐํ˜ธ์„ธ๋ฅผ ๋ฐฉ๋ฌธํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๋ฐœํŒŒ๋ผ์ด์†Œ์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ๋ฉ˜๋„์‚ฌ์—์„œ ๋จธ๋ฌด๋ฅด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๋จธ๋ฌด๋Š” ๊ธฐ๊ฐ„์ด ๊ฐ€์žฅ ๊ธด ๋„์‹œ๋ฅผ ๋งˆ์ง€๋ง‰์— ๋ฐฉ๋ฌธํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฐœํŒŒ๋ผ์ด์†Œ์™€ ์‚ฐํ˜ธ์„ธ, ๋ฉ˜๋„์‚ฌ์™€ ๋ฐœํŒŒ๋ผ์ด์†Œ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 12์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฉ˜๋„์‚ฌ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋ฉ˜๋„์‚ฌ์—์„œ ๋ฐœํŒŒ๋ผ์ด์†Œ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฐœํŒŒ๋ผ์ด์†Œ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋ฐœํŒŒ๋ผ์ด์†Œ์—์„œ ์‚ฐํ˜ธ์„ธ๋กœ ๋น„ํ–‰. 6-12์ผ์ฐจ: 7์ผ๊ฐ„ ์‚ฐํ˜ธ์„ธ ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 12 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You plan to visit San Jose for 7 days. You plan to spend 4 days in Valparaiso. You plan to spend 3 days in Mendoza. You want to visit the city with the longest length of stay last. Here are the cities that have direct flights: Valparaiso and San Jose, Mendoza and Valparaiso. Plan a trip to visit the three cities in 12 days using direct flights.
Days 1-3: Visit Mendoza for 3 days. Day 3: Fly from Mendoza to Valparaiso. Days 3-6: Visit Valparaiso for 4 days. Day 6: Fly from Valparaiso to San Jose. Days 6-12: Visit San Jose for 7 days.
์ˆ˜ํ•™์ ๊ตฌ์กฐํ™”Q: ๋ณ€์ˆ˜ ์ •์˜: S: ์‚ฐํ˜ธ์„ธ, V: ๋ฐœํŒŒ๋ผ์ด์†Œ, M: ๋ฉ˜๋„์‚ฌ a_S: ์‚ฐํ˜ธ์„ธ ๋„์ฐฉ์ผ, d_S: ์‚ฐํ˜ธ์„ธ ์ถœ๋ฐœ์ผ a_V: ๋ฐœํŒŒ๋ผ์ด์†Œ ๋„์ฐฉ์ผ, d_V: ๋ฐœํŒŒ๋ผ์ด์†Œ ์ถœ๋ฐœ์ผ a_M: ๋ฉ˜๋„์‚ฌ ๋„์ฐฉ์ผ, d_M: ๋ฉ˜๋„์‚ฌ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_S - a_S + 1 = 7 d_V - a_V + 1 = 4 d_M - a_M + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_S, d_V, d_M) - min(a_S, a_V, a_M) + 1 = 12 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_S > max(d_V, d_M) ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (V โ†” S), (M โ†” V) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฉ˜๋„์‚ฌ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋ฉ˜๋„์‚ฌ์—์„œ ๋ฐœํŒŒ๋ผ์ด์†Œ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฐœํŒŒ๋ผ์ด์†Œ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋ฐœํŒŒ๋ผ์ด์†Œ์—์„œ ์‚ฐํ˜ธ์„ธ๋กœ ๋น„ํ–‰. 6-12์ผ์ฐจ: 7์ผ๊ฐ„ ์‚ฐํ˜ธ์„ธ ๋ฐฉ๋ฌธ.
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์ด 8์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์™€ ๋ฃจ์ผ€๋ฅผ ๊ฐ๊ฐ 4์ผ๊ฐ„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ณผ 7์ผ ์‚ฌ์ด์— ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์—์„œ ์ง„ํ–‰๋˜๋Š” ํŽ˜์Šคํ‹ฐ๋ฒŒ์„ ๊ตฌ๊ฒฝํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์นด์˜Œ์—์„œ 2์ผ ๋™์•ˆ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์™€ ์นด์˜Œ, ๋ฃจ์ผ€์™€ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 8์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฃจ์ผ€ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ฃจ์ผ€์—์„œ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„๋กœ ๋น„ํ–‰. 4-7์ผ์ฐจ: 4์ผ๊ฐ„ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์—์„œ ์นด์˜Œ์œผ๋กœ ๋น„ํ–‰. 7-8์ผ์ฐจ: 2์ผ๊ฐ„ ์นด์˜Œ ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 8 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will be visiting Brasilia and Luque for 4 days each. Between days 4 and 7, you want to see a festival in Brasilia. You want to spend 2 days in Cayenne. Here are the cities that have direct flights: Brasilia and Cayenne, Luque and Brasilia. Plan a trip to visit the three cities in 8 days using direct flights.
Days 1-4: Visit Luque for 4 days. Day 4: Fly from Luque to Brasilia. Days 4-7: Visit Brasilia for 4 days. Day 7: Fly from Brasilia to Cayenne. Days 7-8: Visit Cayenne for 2 days.
๋ณ€์ˆ˜ ์ •์˜: B: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„, L: ๋ฃจ์ผ€, C: ์นด์˜Œ a_B: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ๋„์ฐฉ์ผ, d_B: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ์ถœ๋ฐœ์ผ a_L: ๋ฃจ์ผ€ ๋„์ฐฉ์ผ, d_L: ๋ฃจ์ผ€ ์ถœ๋ฐœ์ผ a_C: ์นด์˜Œ ๋„์ฐฉ์ผ, d_C: ์นด์˜Œ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_B - a_B + 1 = 4 d_L - a_L + 1 = 4 d_C - a_C + 1 = 2 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_B, d_L, d_C) - min(a_B, a_L, a_C) + 1 = 8 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [4, 7] โˆฉ [a_B, d_B] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (B โ†” C), (L โ†” B) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฃจ์ผ€ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ฃจ์ผ€์—์„œ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„๋กœ ๋น„ํ–‰. 4-7์ผ์ฐจ: 4์ผ๊ฐ„ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์—์„œ ์นด์˜Œ์œผ๋กœ ๋น„ํ–‰. 7-8์ผ์ฐจ: 2์ผ๊ฐ„ ์นด์˜Œ ๋ฐฉ๋ฌธ.
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์ด 14์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ๋ฉ•์‹œ์นผ๋ฆฌ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์บ˜๊ฑฐ๋ฆฌ์—์„œ 7์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์—ฌํ–‰ 3์ผ์ฐจ์— ์บ˜๊ฑฐ๋ฆฌ์—์„œ ์ง„ํ–‰๋˜๋Š” ์‚ฌ์ดŒ์˜ ๊ฒฐํ˜ผ์‹์— ์ฐธ์„ํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 6์ผ๊ฐ„์€ ๋Œˆ๋Ÿฌ์Šค์—์„œ ๋จธ๋ฌผ ์ƒ๊ฐ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋Œˆ๋Ÿฌ์Šค์™€ ์บ˜๊ฑฐ๋ฆฌ, ๋ฉ•์‹œ์นผ๋ฆฌ์™€ ๋Œˆ๋Ÿฌ์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 14์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ: 7์ผ๊ฐ„ ์บ˜๊ฑฐ๋ฆฌ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์บ˜๊ฑฐ๋ฆฌ์—์„œ ๋Œˆ๋Ÿฌ์Šค๋กœ ๋น„ํ–‰. 7-12์ผ์ฐจ: 6์ผ๊ฐ„ ๋Œˆ๋Ÿฌ์Šค ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋Œˆ๋Ÿฌ์Šค์—์„œ ๋ฉ•์‹œ์นผ๋ฆฌ๋กœ ๋น„ํ–‰. 12-14์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฉ•์‹œ์นผ๋ฆฌ ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 14 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will be visiting Mexicali for 3 days. You will be spending 7 days in Calgary. You will be attending your cousin's wedding in Calgary on the 3rd day of your trip. You plan to spend 6 days in Dallas. Here are the cities that have direct flights: Dallas and Calgary, Mexicali and Dallas. Plan a trip to visit the three cities in 14 days using direct flights.
Days 1-7: Visit Calgary for 7 days. Day 7: Fly from Calgary to Dallas. Days 7-12: Visit Dallas for 6 days. Day 12: Fly from Dallas to Mexicali. Days 12-14: Visit Mexicali for 3 days.
๋ณ€์ˆ˜ ์ •์˜: M: ๋ฉ•์‹œ์นผ๋ฆฌ, C: ์บ˜๊ฑฐ๋ฆฌ, D: ๋Œˆ๋Ÿฌ์Šค a_M: ๋ฉ•์‹œ์นผ๋ฆฌ ๋„์ฐฉ์ผ, d_M: ๋ฉ•์‹œ์นผ๋ฆฌ ์ถœ๋ฐœ์ผ a_C: ์บ˜๊ฑฐ๋ฆฌ ๋„์ฐฉ์ผ, d_C: ์บ˜๊ฑฐ๋ฆฌ ์ถœ๋ฐœ์ผ a_D: ๋Œˆ๋Ÿฌ์Šค ๋„์ฐฉ์ผ, d_D: ๋Œˆ๋Ÿฌ์Šค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_M - a_M + 1 = 3 d_C - a_C + 1 = 7 d_D - a_D + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_M, d_C, d_D) - min(a_M, a_C, a_D) + 1 = 14 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_C โ‰ค 3 โ‰ค d_C ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (D โ†” C), (M โ†” D) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ: 7์ผ๊ฐ„ ์บ˜๊ฑฐ๋ฆฌ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์บ˜๊ฑฐ๋ฆฌ์—์„œ ๋Œˆ๋Ÿฌ์Šค๋กœ ๋น„ํ–‰. 7-12์ผ์ฐจ: 6์ผ๊ฐ„ ๋Œˆ๋Ÿฌ์Šค ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋Œˆ๋Ÿฌ์Šค์—์„œ ๋ฉ•์‹œ์นผ๋ฆฌ๋กœ ๋น„ํ–‰. 12-14์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฉ•์‹œ์นผ๋ฆฌ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 17์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ชฌํŠธ๋ฆฌ์˜ฌ์— 7์ผ๊ฐ„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ ์บ์ŠคํŠธ๋ฆฌ์Šค์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์™€ ์‹œ์นด๊ณ ์—์„œ ๊ฐ๊ฐ 5์ผ์„ ์—ฌํ–‰ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ๊ณผ 8์ผ ์‚ฌ์ด์— ์‹œ์นด๊ณ  ์—ฌํ–‰ ํˆฌ์–ด๋ฅผ ๋ฏธ๋ฆฌ ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์บ์ŠคํŠธ๋ฆฌ์Šค์™€ ๋ชฌํŠธ๋ฆฌ์˜ฌ, ์‹œ์นด๊ณ ์™€ ๋ชฌํŠธ๋ฆฌ์˜ฌ, ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์™€ ์‹œ์นด๊ณ . ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 17์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์—์„œ ์‹œ์นด๊ณ ๋กœ ๋น„ํ–‰. 5-9์ผ์ฐจ: 5์ผ๊ฐ„ ์‹œ์นด๊ณ  ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์‹œ์นด๊ณ ์—์„œ ๋ชฌํŠธ๋ฆฌ์˜ฌ๋กœ ๋น„ํ–‰. 9-15์ผ์ฐจ: 7์ผ๊ฐ„ ๋ชฌํŠธ๋ฆฌ์˜ฌ ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋ชฌํŠธ๋ฆฌ์˜ฌ์—์„œ ์บ์ŠคํŠธ๋ฆฌ์Šค๋กœ ๋น„ํ–‰. 15-17์ผ์ฐจ: 3์ผ๊ฐ„ ์บ์ŠคํŠธ๋ฆฌ์Šค ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 17 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll be in Montreal for 7 days. You'd like to spend 3 days in Castries. You'll spend 5 days each in Mexico City and Chicago. You've pre-booked a tour of Chicago between the 6th and 8th. Here are the cities that have direct flights: Castries and Montreal, Chicago and Montreal, Mexico City and Chicago. Plan a trip to visit four cities in 17 days using direct flights.
Days 1-5: Visit Mexico City for 5 days. Day 5: Fly from Mexico City to Chicago. Days 5-9: Visit Chicago for 5 days. Day 9: Fly from Chicago to Montreal. Days 9-15: Visit Montreal for 7 days. Day 15: Fly from Montreal to Castries. Days 15-17: Visit Castries for 3 days.
๋ณ€์ˆ˜ ์ •์˜: M: ๋ชฌํŠธ๋ฆฌ์˜ฌ, C: ์บ์ŠคํŠธ๋ฆฌ์Šค, X: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ, S: ์‹œ์นด๊ณ  a_M: ๋ชฌํŠธ๋ฆฌ์˜ฌ ๋„์ฐฉ์ผ, d_M: ๋ชฌํŠธ๋ฆฌ์˜ฌ ์ถœ๋ฐœ์ผ a_C: ์บ์ŠคํŠธ๋ฆฌ์Šค ๋„์ฐฉ์ผ, d_C: ์บ์ŠคํŠธ๋ฆฌ์Šค ์ถœ๋ฐœ์ผ a_X: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ๋„์ฐฉ์ผ, d_X: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ์ถœ๋ฐœ์ผ a_S: ์‹œ์นด๊ณ  ๋„์ฐฉ์ผ, d_S: ์‹œ์นด๊ณ  ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_M - a_M + 1 = 7 d_C - a_C + 1 = 3 d_X - a_X + 1 = 5 d_S - a_S + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_M, d_C, d_X, d_S) - min(a_M, a_C, a_X, a_S) + 1 = 17 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [6, 8] โˆฉ [a_S, d_S] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (C โ†” M), (S โ†” M), (X โ†” S) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์—์„œ ์‹œ์นด๊ณ ๋กœ ๋น„ํ–‰. 5-9์ผ์ฐจ: 5์ผ๊ฐ„ ์‹œ์นด๊ณ  ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์‹œ์นด๊ณ ์—์„œ ๋ชฌํŠธ๋ฆฌ์˜ฌ๋กœ ๋น„ํ–‰. 9-15์ผ์ฐจ: 7์ผ๊ฐ„ ๋ชฌํŠธ๋ฆฌ์˜ฌ ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋ชฌํŠธ๋ฆฌ์˜ฌ์—์„œ ์บ์ŠคํŠธ๋ฆฌ์Šค๋กœ ๋น„ํ–‰. 15-17์ผ์ฐจ: 3์ผ๊ฐ„ ์บ์ŠคํŠธ๋ฆฌ์Šค ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 12์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ๋ผํฌ๋ฅดํˆฌ๋‚˜์—์„œ ๋จธ๋ฌผ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ๋ฅผ ๋ฐฉ๋ฌธํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 2์ผ๊ณผ 5์ผ ์‚ฌ์ด์— ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ์—์„œ ์ˆ™๋ฐ•์„ ํ•ด๊ฒฐํ•  ์ˆ˜ ์žˆ๋Š” ํ˜ธ์Šคํ…”์„ ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. 2์ผ๊ฐ„ ์นด๋ฅดํƒ€ํ—ค๋‚˜์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ ๋ ˆ์˜จ์—์„œ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์นด๋ฅดํƒ€ํ—ค๋‚˜์™€ ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ, ์นด๋ฅดํƒ€ํ—ค๋‚˜์™€ ๋ผํฌ๋ฅดํˆฌ๋‚˜, ๋ ˆ์˜จ๊ณผ ๋ผํฌ๋ฅดํˆฌ๋‚˜, ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ์™€ ๋ผํฌ๋ฅดํˆฌ๋‚˜. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 12์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ์นด๋ฅดํƒ€ํ—ค๋‚˜ ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ์นด๋ฅดํƒ€ํ—ค๋‚˜์—์„œ ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 2-5์ผ์ฐจ: 4์ผ๊ฐ„ ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ์—์„œ ๋ผํฌ๋ฅดํˆฌ๋‚˜๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ: 6์ผ๊ฐ„ ๋ผํฌ๋ฅดํˆฌ๋‚˜ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ผํฌ๋ฅดํˆฌ๋‚˜์—์„œ ๋ ˆ์˜จ์œผ๋กœ ๋น„ํ–‰. 10-12์ผ์ฐจ: 3์ผ๊ฐ„ ๋ ˆ์˜จ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 12 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to stay in La Portuna for 6 days. You want to visit Panama City for 4 days. You have booked a hostel in Panama City for your stay between the 2nd and the 5th. You want to spend time in Cartagena for 2 days. You will be in Leon for 3 days. Here are the cities that have direct flights: Cartagena and Panama City, Cartagena and La Fortuna, Leon and La Fortuna, Panama City and La Fortuna. Plan your trip to visit four cities in 12 days with direct flights.
Days 1-2: Visit Cartagena for 2 days. Day 2: Fly from Cartagena to Panama City. Days 2-5: Visit Panama City for 4 days. Day 5: Fly from Panama City to La Fortuna. Days 5-10: 6 days in La Fortuna. Day 10: Fly from La Fortuna to Leon. Days 10-12: Visit Leon for 3 days.
์ˆ˜ํ•™์ ๊ตฌ์กฐํ™”Q: ๋ณ€์ˆ˜ ์ •์˜: L: ๋ผํฌ๋ฅดํˆฌ๋‚˜, P: ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ, C: ์นด๋ฅดํƒ€ํ—ค๋‚˜, E: ๋ ˆ์˜จ a_L: ๋ผํฌ๋ฅดํˆฌ๋‚˜ ๋„์ฐฉ์ผ, d_L: ๋ผํฌ๋ฅดํˆฌ๋‚˜ ์ถœ๋ฐœ์ผ a_P: ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ ๋„์ฐฉ์ผ, d_P: ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ ์ถœ๋ฐœ์ผ a_C: ์นด๋ฅดํƒ€ํ—ค๋‚˜ ๋„์ฐฉ์ผ, d_C: ์นด๋ฅดํƒ€ํ—ค๋‚˜ ์ถœ๋ฐœ์ผ a_E: ๋ ˆ์˜จ ๋„์ฐฉ์ผ, d_E: ๋ ˆ์˜จ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_L - a_L + 1 = 6 d_P - a_P + 1 = 4 d_C - a_C + 1 = 2 d_E - a_E + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_L, d_P, d_C, d_E) - min(a_L, a_P, a_C, a_E) + 1 = 12 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [2, 5] โˆฉ [a_P, d_P] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (C โ†” P), (C โ†” L), (E โ†” L), (P โ†” L) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ์นด๋ฅดํƒ€ํ—ค๋‚˜ ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ์นด๋ฅดํƒ€ํ—ค๋‚˜์—์„œ ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 2-5์ผ์ฐจ: 4์ผ๊ฐ„ ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ํŒŒ๋‚˜๋งˆ์‹œํ‹ฐ์—์„œ ๋ผํฌ๋ฅดํˆฌ๋‚˜๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ: 6์ผ๊ฐ„ ๋ผํฌ๋ฅดํˆฌ๋‚˜ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ผํฌ๋ฅดํˆฌ๋‚˜์—์„œ ๋ ˆ์˜จ์œผ๋กœ ๋น„ํ–‰. 10-12์ผ์ฐจ: 3์ผ๊ฐ„ ๋ ˆ์˜จ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 15์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๋ฒจ๋ชจํŒ์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. 7์ผ๊ณผ 10์ผ ์‚ฌ์ด ๋ฒจ๋ชจํŒ์—์„œ ํ•™๊ต ์„ ๋ฐฐ์™€ ์—ฌํ–‰์„ ํ•จ๊ป˜ํ•˜๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ์ฝ”๋งˆ์•ผ๊ณผ์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ์—์„œ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฒจ๋ชจํŒ๊ณผ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ, ์‚ฐ์‚ด๋ฐ”๋„๋ฅด์™€ ๋ฒจ๋ชจํŒ, ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ์™€ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด, ์ฝ”๋งˆ์•ผ๊ณผ์™€ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 15์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์ฝ”๋งˆ์•ผ๊ณผ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์ฝ”๋งˆ์•ผ๊ณผ์—์„œ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด๋กœ ๋น„ํ–‰. 3-7์ผ์ฐจ: 5์ผ๊ฐ„ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์‚ฐ์‚ด๋ฐ”๋„๋ฅด์—์„œ ๋ฒจ๋ชจํŒ์œผ๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฒจ๋ชจํŒ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ฒจ๋ชจํŒ์—์„œ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 10-15์ผ์ฐจ: 6์ผ๊ฐ„ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 15 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll be visiting San Salvador for 5 days. You'll be spending 4 days in Belmopan. Between the 7th and the 10th, you have planned to travel with a senior from school in Belmopan. You'll be spending 3 days in Comayagua. You will spend 6 days in Guatemala City. Here are the cities that have direct flights: Belmopan and Guatemala City, San Salvador and Belmopan, Guatemala City and San Salvador, Comayagua and San Salvador. Plan a trip to visit four cities in 15 days with direct flights.
Days 1-3: Visit Comayagua for 3 days. Day 3: Fly from Comayagua to San Salvador. Days 3-7: Visit San Salvador for 5 days. Day 7: Fly from San Salvador to Belmopan. Days 7-10: Visit Belmopan for 4 days. Day 10: Fly from Belmopan to Guatemala City. Days 10-15: Visit Guatemala City for 6 days.
๋ณ€์ˆ˜ ์ •์˜: S: ์‚ฐ์‚ด๋ฐ”๋„๋ฅด, B: ๋ฒจ๋ชจํŒ, C: ์ฝ”๋งˆ์•ผ๊ณผ, G: ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ a_S: ์‚ฐ์‚ด๋ฐ”๋„๋ฅด ๋„์ฐฉ์ผ, d_S: ์‚ฐ์‚ด๋ฐ”๋„๋ฅด ์ถœ๋ฐœ์ผ a_B: ๋ฒจ๋ชจํŒ ๋„์ฐฉ์ผ, d_B: ๋ฒจ๋ชจํŒ ์ถœ๋ฐœ์ผ a_C: ์ฝ”๋งˆ์•ผ๊ณผ ๋„์ฐฉ์ผ, d_C: ์ฝ”๋งˆ์•ผ๊ณผ ์ถœ๋ฐœ์ผ a_G: ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ ๋„์ฐฉ์ผ, d_G: ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_S - a_S + 1 = 5 d_B - a_B + 1 = 4 d_C - a_C + 1 = 3 d_G - a_G + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_S, d_B, d_C, d_G) - min(a_S, a_B, a_C, a_G) + 1 = 15 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [7, 10] โˆฉ [a_B, d_B] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (B โ†” G), (S โ†” B), (G โ†” S), (C โ†” S) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์ฝ”๋งˆ์•ผ๊ณผ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์ฝ”๋งˆ์•ผ๊ณผ์—์„œ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด๋กœ ๋น„ํ–‰. 3-7์ผ์ฐจ: 5์ผ๊ฐ„ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์‚ฐ์‚ด๋ฐ”๋„๋ฅด์—์„œ ๋ฒจ๋ชจํŒ์œผ๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฒจ๋ชจํŒ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ฒจ๋ชจํŒ์—์„œ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 10-15์ผ์ฐจ: 6์ผ๊ฐ„ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ ๋ฐฉ๋ฌธ.
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4
์ง์ ‘ ์ƒ์„ฑ
์ด 19์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 6์ผ ๋™์•ˆ ๋งˆ์ด์• ๋ฏธ์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ํœด์Šคํ„ด์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์—ฌํ–‰ 4์ผ์ฐจ์— ํœด์Šคํ„ด์—์„œ ์•ผ๊ตฌ ๊ฒฝ๊ธฐ๋ฅผ ์ง๊ด€ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด์—์„œ 4์ผ ๋™์•ˆ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ์นธ์ฟค์„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 9์ผ๊ณผ 13์ผ ์‚ฌ์ด์— ์นธ์ฟค์—์„œ ์นœ๊ตฌ์™€ ํœด์–‘์„ ํ•˜๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. ๋จธ๋ฌด๋ฅด๋Š” ์‹œ๊ฐ„์ด ๊ฐ€์žฅ ์ ์€ ๋„์‹œ๋ฅผ ์ฒซ ๋ฒˆ์งธ๋กœ ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋งˆ๋ฏธ์• ๋ฏธ์™€ ํœด์Šคํ„ด, ์นธ์ฟค๊ณผ ๋งˆ์ด์• ๋ฏธ, ์นธ์ฟค๊ณผ ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด, ํœด์Šคํ„ด๊ณผ ์นธ์ฟค, ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด์™€ ํœด์Šคํ„ด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 19์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด์—์„œ ํœด์Šคํ„ด์œผ๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ํœด์Šคํ„ด ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํœด์Šคํ„ด์—์„œ ์นธ์ฟค์œผ๋กœ ๋น„ํ–‰. 8-14์ผ์ฐจ: 7์ผ๊ฐ„ ์นธ์ฟค ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ์นธ์ฟค์—์„œ ๋งˆ์ด์• ๋ฏธ๋กœ ๋น„ํ–‰. 14-19์ผ์ฐจ: 6์ผ๊ฐ„ ๋งˆ์ด์• ๋ฏธ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 19 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll be in Miami for 6 days. You'll spend 5 days in Houston. On day 4 of your trip, you'll be in Houston to watch a baseball game. You'd like to spend four days in Cuernavaca. You'll be in Cancun for 7 days. You've decided to vacation with a friend in Cancun between the 9th and 13th. You want to visit the city with the least amount of time in it first. Here are the cities that have direct flights: Miami and Houston, Cancun and Miami, Cancun and Cuernavaca, Houston and Cancun, Cuernavaca and Houston. Plan a trip to visit four cities in 19 days with direct flights.
Days 1-4: Visit Cuernavaca for 4 days. Day 4: Fly from Cuernavaca to Houston. Days 4-8: Visit Houston for 5 days. Day 8: Fly from Houston to Cancun. Days 8-14: Visit Cancun for 7 days. Day 14: Fly from Cancun to Miami. Days 14-19: Visit Miami for 6 days.
๋ณ€์ˆ˜ ์ •์˜: M: ๋งˆ์ด์• ๋ฏธ, H: ํœด์Šคํ„ด, C: ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด, K: ์นธ์ฟค a_M: ๋งˆ์ด์• ๋ฏธ ๋„์ฐฉ์ผ, d_M: ๋งˆ์ด์• ๋ฏธ ์ถœ๋ฐœ์ผ a_H: ํœด์Šคํ„ด ๋„์ฐฉ์ผ, d_H: ํœด์Šคํ„ด ์ถœ๋ฐœ์ผ a_C: ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด ๋„์ฐฉ์ผ, d_C: ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด ์ถœ๋ฐœ์ผ a_K: ์นธ์ฟค ๋„์ฐฉ์ผ, d_K: ์นธ์ฟค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_M - a_M + 1 = 6 d_H - a_H + 1 = 5 d_C - a_C + 1 = 4 d_K - a_K + 1 = 7 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_M, d_H, d_C, d_K) - min(a_M, a_H, a_C, a_K) + 1 = 19 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_H โ‰ค 4 โ‰ค d_H [9, 13] โˆฉ [a_K, d_K] โ‰  โˆ… min(a_M, a_H, a_C, a_K) = a_C ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (M โ†” H), (K โ†” M), (K โ†” C), (H โ†” K), (C โ†” H) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด์—์„œ ํœด์Šคํ„ด์œผ๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ํœด์Šคํ„ด ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํœด์Šคํ„ด์—์„œ ์นธ์ฟค์œผ๋กœ ๋น„ํ–‰. 8-14์ผ์ฐจ: 7์ผ๊ฐ„ ์นธ์ฟค ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ์นธ์ฟค์—์„œ ๋งˆ์ด์• ๋ฏธ๋กœ ๋น„ํ–‰. 14-19์ผ์ฐจ: 6์ผ๊ฐ„ ๋งˆ์ด์• ๋ฏธ ๋ฐฉ๋ฌธ.
177
์•„๋ฉ”๋ฆฌ์นด
5
์ง์ ‘ ์ƒ์„ฑ
์ด 19์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ํฌํ‹€๋žœ๋“œ์— ๋จธ๋ฌผ๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์•„๋ฐ”๋‚˜์—์„œ 5์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ์—๋ฅด๋ชจ์‹œ์š”์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์บ˜๊ฑฐ๋ฆฌ์—์„œ 6์ผ ๋™์•ˆ ํœด์–‘์„ ์ฆ๊ธฐ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ์•ต์ปค๋ฆฌ์ง€์—์„œ ๋จธ๋ฌผ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์—ฌํ–‰ 3์ผ์ฐจ์— ์•ต์ปค๋ฆฌ์ง€์—์„œ ์˜ค๋กœ๋ผ๋ฅผ ๋ณด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์—๋ฅด๋ชจ์‹œ์š”์™€ ์•„๋ฐ”๋‚˜, ํฌํ‹€๋žœ๋“œ์™€ ์—๋ฅด๋ชจ์‹œ์š”, ์บ˜๊ฑฐ๋ฆฌ์™€ ์•ต์ปค๋ฆฌ์ง€, ํฌํ‹€๋žœ๋“œ์™€ ์บ˜๊ฑฐ๋ฆฌ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 19์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ์•ต์ปค๋ฆฌ์ง€ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์•ต์ปค๋ฆฌ์ง€์—์„œ ์บ˜๊ฑฐ๋ฆฌ๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ:6์ผ๊ฐ„ ์บ˜๊ฑฐ๋ฆฌ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์บ˜๊ฑฐ๋ฆฌ์—์„œ ํฌํ‹€๋žœ๋“œ๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ํฌํ‹€๋žœ๋“œ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ํฌํ‹€๋žœ๋“œ์—์„œ ์—๋ฅด๋ชจ์‹œ์š”๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ์—๋ฅด๋ชจ์‹œ์š” ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ์—๋ฅด๋ชจ์‹œ์š”์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 15-19์ผ์ฐจ: 5์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 19 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You plan to stay in Portland for 4 days. You'll spend 5 days in Havana. You'll spend 3 days in Hermosillo. You'd like to spend 6 days in Calgary. You'd like to spend 5 days in Anchorage. On day 3 of your trip, you would like to see the aurora in Anchorage. Here are the cities that have direct flights: Hermosillo and Havana, Portland and Hermosillo, Calgary and Anchorage, Portland and Calgary. Plan a trip to visit five cities in 19 days with direct flights.
Days 1-5: Visit Anchorage for 5 days. Day 5: Fly from Anchorage to Calgary. Days 5-10: Visit Calgary for 6 days. Day 10: Fly from Calgary to Portland. Days 10-13: Visit Portland for 4 days. Day 13: Fly from Portland to Hermosillo. Days 13-15: Visit Hermosillo for 3 days. Day 15: Fly from Hermosillo to Havana. Days 15-19: Visit Havana for 5 days.
๋ณ€์ˆ˜ ์ •์˜: P: ํฌํ‹€๋žœ๋“œ, H: ์•„๋ฐ”๋‚˜, E: ์—๋ฅด๋ชจ์‹œ์š”, C: ์บ˜๊ฑฐ๋ฆฌ, A: ์•ต์ปค๋ฆฌ์ง€ a_P: ํฌํ‹€๋žœ๋“œ ๋„์ฐฉ์ผ, d_P: ํฌํ‹€๋žœ๋“œ ์ถœ๋ฐœ์ผ a_H: ์•„๋ฐ”๋‚˜ ๋„์ฐฉ์ผ, d_H: ์•„๋ฐ”๋‚˜ ์ถœ๋ฐœ์ผ a_E: ์—๋ฅด๋ชจ์‹œ์š” ๋„์ฐฉ์ผ, d_E: ์—๋ฅด๋ชจ์‹œ์š” ์ถœ๋ฐœ์ผ a_C: ์บ˜๊ฑฐ๋ฆฌ ๋„์ฐฉ์ผ, d_C: ์บ˜๊ฑฐ๋ฆฌ ์ถœ๋ฐœ์ผ a_A: ์•ต์ปค๋ฆฌ์ง€ ๋„์ฐฉ์ผ, d_A: ์•ต์ปค๋ฆฌ์ง€ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_P - a_P + 1 = 4 d_H - a_H + 1 = 5 d_E - a_E + 1 = 3 d_C - a_C + 1 = 6 d_A - a_A + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_P, d_H, d_E, d_C, d_A) - min(a_P, a_H, a_E, a_C, a_A) + 1 = 19 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_A โ‰ค 3 โ‰ค d_A ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (E โ†” H), (P โ†” E), (C โ†” A), (P โ†” C) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ์•ต์ปค๋ฆฌ์ง€ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์•ต์ปค๋ฆฌ์ง€์—์„œ ์บ˜๊ฑฐ๋ฆฌ๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ:6์ผ๊ฐ„ ์บ˜๊ฑฐ๋ฆฌ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์บ˜๊ฑฐ๋ฆฌ์—์„œ ํฌํ‹€๋žœ๋“œ๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ํฌํ‹€๋žœ๋“œ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ํฌํ‹€๋žœ๋“œ์—์„œ ์—๋ฅด๋ชจ์‹œ์š”๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ์—๋ฅด๋ชจ์‹œ์š” ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ์—๋ฅด๋ชจ์‹œ์š”์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 15-19์ผ์ฐจ: 5์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 18์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ํ•„๋ผ๋ธํ”ผ์•„๋ฅผ ๋ฐฉ๋ฌธํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ํ•„๋ผ๋ธํ”ผ์•„์— ์žˆ๋Š” ์นœ๊ตฌ์˜ ์ง‘์—์„œ 4์ผ๊ณผ 9์ผ ์‚ฌ์ด์— ์‹ ์„ธ๋ฅผ ์ง€๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ์ƒ๋ฃจ์ด์Šค์—์„œ 5์ผ์„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์ƒ๋ฃจ์ด์Šค๋ฅผ ๊ฐ€์žฅ ๋งˆ์ง€๋ง‰์œผ๋กœ ๋ฐฉ๋ฌธํ•˜๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ํ† ๋ก ํ† ์—์„œ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ์‚ดํ‹ฐ์š”์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ณด๊ณ ํƒ€์—์„œ๋„ 3์ผ ๋™์•ˆ ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํ† ๋ก ํ† ์™€ ์‚ดํ‹ฐ์š”, ๋ณด๊ณ ํƒ€์™€ ์ƒ๋ฃจ์ด์Šค, ์‚ดํ‹ฐ์š”์™€ ๋ณด๊ณ ํƒ€, ์ƒ๋ฃจ์ด์Šค์™€ ํ•„๋ผ๋ธํ”ผ์•„, ํ•„๋ผ๋ธํ”ผ์•„์™€ ํ† ๋ก ํ† , ์‚ดํ‹ฐ์š”์™€ ํ•„๋ผ๋ธํ”ผ์•„. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 18์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ํ† ๋ก ํ†  ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํ† ๋ก ํ† ์—์„œ ํ•„๋ผ๋ธํ”ผ์•„๋กœ ๋น„ํ–‰. 4-10์ผ์ฐจ:7์ผ๊ฐ„ ํ•„๋ผ๋ธํ”ผ์•„ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ํ•„๋ผ๋ธํ”ผ์•„์—์„œ ์‚ดํ‹ฐ์š”๋กœ ๋น„ํ–‰. 10-12์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ดํ‹ฐ์š” ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ์‚ดํ‹ฐ์š”์—์„œ ๋ณด๊ณ ํƒ€๋กœ ๋น„ํ–‰. 12-14์ผ์ฐจ: 3์ผ๊ฐ„ ๋ณด๊ณ ํƒ€ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ๋ณด๊ณ ํƒ€์—์„œ ์ƒ๋ฃจ์ด์Šค๋กœ ๋น„ํ–‰. 14-18์ผ์ฐจ: 5์ผ๊ฐ„ ์ƒ๋ฃจ์ด์Šค ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 18 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You want to visit Philadelphia for 7 days. You want to spend between 4 and 9 days at a friend's house in Philadelphia. You want to spend 5 days in Sao Luis. You want to make Sao Luis your last visit. You'll be in Toronto for 4 days. You'll be in Saltillo for 3 days. You'll also be in Bogota for 3 days. Here are the cities that have direct flights: Toronto and Saltillo, Bogota and Sao Luis, Saltillo and Bogota, Sao Luis and Philadelphia, Philadelphia and Toronto, Saltillo and Philadelphia. Plan a trip to visit five cities in 18 days with direct flights.
Days 1-4: Visit Toronto for 4 days. Day 4: Fly from Toronto to Philadelphia. Days 4-10: Visit Philadelphia for 7 days. Day 10: Fly from Philadelphia to Saltillo. Days 10-12: Visit Saltillo for 3 days. Day 12: Fly from Saltillo to Bogota. Days 12-14: Visit Bogota for 3 days. Day 14: Fly from Bogota to Sao Luis. Days 14-18: Visit Sao Luis for 5 days.
๋ณ€์ˆ˜ ์ •์˜: P: ํ•„๋ผ๋ธํ”ผ์•„, S: ์ƒ๋ฃจ์ด์Šค, T: ํ† ๋ก ํ† , Sa: ์‚ดํ‹ฐ์š”, B: ๋ณด๊ณ ํƒ€ a_P: ํ•„๋ผ๋ธํ”ผ์•„ ๋„์ฐฉ์ผ, d_P: ํ•„๋ผ๋ธํ”ผ์•„ ์ถœ๋ฐœ์ผ a_S: ์ƒ๋ฃจ์ด์Šค ๋„์ฐฉ์ผ, d_S: ์ƒ๋ฃจ์ด์Šค ์ถœ๋ฐœ์ผ a_T: ํ† ๋ก ํ†  ๋„์ฐฉ์ผ, d_T: ํ† ๋ก ํ†  ์ถœ๋ฐœ์ผ a_Sa: ์‚ดํ‹ฐ์š” ๋„์ฐฉ์ผ, d_Sa: ์‚ดํ‹ฐ์š” ์ถœ๋ฐœ์ผ a_B: ๋ณด๊ณ ํƒ€ ๋„์ฐฉ์ผ, d_B: ๋ณด๊ณ ํƒ€ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_P - a_P + 1 = 7 d_S - a_S + 1 = 5 d_T - a_T + 1 = 4 d_Sa - a_Sa + 1 = 3 d_B - a_B + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_P, d_S, d_T, d_Sa, d_B) - min(a_P, a_S, a_T, a_Sa, a_B) + 1 = 18 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [4, 9] โˆฉ [a_P, d_P] โ‰  โˆ… d_S = 18 ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (T โ†” Sa), (B โ†” S), (Sa โ†” B), (S โ†” P), (P โ†” T), (Sa โ†” P) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ํ† ๋ก ํ†  ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํ† ๋ก ํ† ์—์„œ ํ•„๋ผ๋ธํ”ผ์•„๋กœ ๋น„ํ–‰. 4-10์ผ์ฐจ:7์ผ๊ฐ„ ํ•„๋ผ๋ธํ”ผ์•„ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ํ•„๋ผ๋ธํ”ผ์•„์—์„œ ์‚ดํ‹ฐ์š”๋กœ ๋น„ํ–‰. 10-12์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ดํ‹ฐ์š” ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ์‚ดํ‹ฐ์š”์—์„œ ๋ณด๊ณ ํƒ€๋กœ ๋น„ํ–‰. 12-14์ผ์ฐจ: 3์ผ๊ฐ„ ๋ณด๊ณ ํƒ€ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ๋ณด๊ณ ํƒ€์—์„œ ์ƒ๋ฃจ์ด์Šค๋กœ ๋น„ํ–‰. 14-18์ผ์ฐจ: 5์ผ๊ฐ„ ์ƒ๋ฃจ์ด์Šค ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 15์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ผ๋ฐ”๋””์™€ ๋ฒจ๋ฃจ์˜ค๋ฆฌ์กด์น˜์—์„œ ๊ฐ๊ฐ 3์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 2์ผ๊ณผ 3์ผ ์‚ฌ์ด์— ๋ฒจ๋ฃจ์˜ค๋ฆฌ์กด์น˜์—์„œ ์‚ฌ์šฉํ•  ๋ ŒํŠธ์นด๋ฅผ ์˜ˆ์•ฝ๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ์กฐ์ง€ํƒ€์šด๊ณผ ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ ๊ฐ๊ฐ 4์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ ๋™์•ˆ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6-10์ผ ์‚ฌ์ด์— ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์— ์žˆ๋Š” ํ˜•์˜ ์ง‘์— ๋“ค๋ฅผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์กฐ์ง€ํƒ€์šด๊ณผ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด, ์กฐ์ง€ํƒ€์šด๊ณผ ์„ธ์ธํŠธ์กฐ์ง€์Šค, ๋ฒจ๋ฃจ์˜ค๋ฆฌ์กด์น˜์™€ ์กฐ์ง€ํƒ€์šด, ๋ผ๋ฐ”๋””์™€ ์„ธ์ธํŠธ์กฐ์ง€์Šค, ๋ธŒ๋ฆฌ์ง€ํƒ€์šด๊ณผ ์„ธ์ธํŠธ์กฐ์ง€์Šค, ๋ธŒ๋ฆฌ์ง€ํƒ€์šด๊ณผ ๋ฒจ๋ฃจ์˜ค๋ฆฌ์กด์น˜. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 15์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฒจ๋ฃจ์˜ค๋ฆฌ์กด์น˜ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋ฒจ๋ฃจ์˜ค๋ฆฌ์กด์น˜์—์„œ ์กฐ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ:4์ผ๊ฐ„ ์กฐ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์กฐ์ง€ํƒ€์šด์—์„œ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 6-10์ผ์ฐจ: 5์ผ๊ฐ„ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์—์„œ ์„ธ์ธํŠธ์กฐ์ง€์Šค๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ ๋ผ๋ฐ”๋””๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ๋ผ๋ฐ”๋”” ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 15 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will spend 3 days in Labadee and 3 days in Belo Horizonte. You've reserved a rental car to use in Belo Horizonte between days 2 and 3. You will spend 4 days each in Georgetown and St. George's. You will spend 5 days in Bridgetown. You will stop by your brother's house in Bridgetown between days 6-10. Here are the cities that have direct flights: Georgetown and Bridgetown, Georgetown and St. George's, Belo Horizonte and Georgetown, Labadee and St. George's, Bridgetown and St. George's, Bridgetown and Belo Horizonte. Plan a trip to visit five cities in 15 days with direct flights.
Days 1-3: Visit Belo Horizonte for 3 days. Day 3: Fly from Belo Horizonte to Georgetown. Days 3-6: Visit Georgetown for 4 days. Day 6: Fly from Georgetown to Bridgetown. Days 6-10: Visit Bridgetown for 5 days. Day 10: Fly from Bridgetown to St. George's. Days 10-13: Visit St. George's for 4 days. Day 13: Fly from St. George's to Labadee. Days 13-15: Visit Labadee for 3 days.
๋ณ€์ˆ˜ ์ •์˜: L: ๋ผ๋ฐ”๋””, B: ๋ฒจ๋ฃจ์˜ค๋ฆฌ์กด์น˜, G: ์กฐ์ง€ํƒ€์šด, S: ์„ธ์ธํŠธ์กฐ์ง€์Šค, R: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด a_L: ๋ผ๋ฐ”๋”” ๋„์ฐฉ์ผ, d_L: ๋ผ๋ฐ”๋”” ์ถœ๋ฐœ์ผ a_B: ๋ฒจ๋ฃจ์˜ค๋ฆฌ์กด์น˜ ๋„์ฐฉ์ผ, d_B: ๋ฒจ๋ฃจ์˜ค๋ฆฌ์กด์น˜ ์ถœ๋ฐœ์ผ a_G: ์กฐ์ง€ํƒ€์šด ๋„์ฐฉ์ผ, d_G: ์กฐ์ง€ํƒ€์šด ์ถœ๋ฐœ์ผ a_S: ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋„์ฐฉ์ผ, d_S: ์„ธ์ธํŠธ์กฐ์ง€์Šค ์ถœ๋ฐœ์ผ a_R: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋„์ฐฉ์ผ, d_R: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_L - a_L + 1 = 3 d_B - a_B + 1 = 3 d_G - a_G + 1 = 4 d_S - a_S + 1 = 4 d_R - a_R + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_L, d_B, d_G, d_S, d_R) - min(a_L, a_B, a_G, a_S, a_R) + 1 = 15 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: {2, 3} โˆฉ [a_B, d_B] โ‰  โˆ… [6, 10] โˆฉ [a_R, d_R] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (G โ†” R), (G โ†” S), (B โ†” G), (L โ†” S), (R โ†” S), (R โ†” B) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฒจ๋ฃจ์˜ค๋ฆฌ์กด์น˜ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋ฒจ๋ฃจ์˜ค๋ฆฌ์กด์น˜์—์„œ ์กฐ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ:4์ผ๊ฐ„ ์กฐ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์กฐ์ง€ํƒ€์šด์—์„œ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 6-10์ผ์ฐจ: 5์ผ๊ฐ„ ๋ธŒ๋ฆฌ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ธŒ๋ฆฌ์ง€ํƒ€์šด์—์„œ ์„ธ์ธํŠธ์กฐ์ง€์Šค๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ ๋ผ๋ฐ”๋””๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ๋ผ๋ฐ”๋”” ๋ฐฉ๋ฌธ.
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์•„๋ฉ”๋ฆฌ์นด
5
์ง์ ‘ ์ƒ์„ฑ
์ด 17์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ๋ด๋ฒ„์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ผํŒŒ์Šค์—์„œ 4์ผ์„ ๋จธ๋ฃจ๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ์•„์นดํ’€์ฝ”๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ๊ณผ 10์ผ ์‚ฌ์ด์— ์•„์นดํ’€์ฝ”์—์„œ ์ง„ํ–‰๋˜๋Š” ํ•™ํšŒ์— ์ฐธ์„ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ฆฌ๋งˆ์—์„œ 3์ผ์„ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 12์ผ๊ณผ 14์ผ ์‚ฌ์ด์— ๋ฆฌ๋งˆ์—์„œ ๊ฐ€์กฑ ์—ฌํ–‰์„ ์ฆ๊ธธ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ ํ‚คํ† ์— ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์•„์นดํ’€์ฝ”์™€ ๋ด๋ฒ„, ์•„์นดํ’€์ฝ”์™€ ํ‚คํ† , ๋ด๋ฒ„์™€ ํ‚คํ† , ๋ด๋ฒ„์™€ ๋ฆฌ๋งˆ, ๋ผํŒŒ์Šค์™€ ๋ฆฌ๋งˆ, ๋ผํŒŒ์Šค์™€ ํ‚คํ† , ๋ฆฌ๋งˆ์™€ ๋ด๋ฒ„, ๋ฆฌ๋งˆ์™€ ์•„์นดํ’€์ฝ”, ํ‚คํ† ์™€ ๋ฆฌ๋งˆ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 17์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ๋ด๋ฒ„ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋ด๋ฒ„์—์„œ ์•„์นดํ’€์ฝ”๋กœ ๋น„ํ–‰. 6-10์ผ์ฐจ:5์ผ๊ฐ„ ์•„์นดํ’€์ฝ” ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์•„์นดํ’€์ฝ”์—์„œ ํ‚คํ† ๋กœ ๋น„ํ–‰. 10-12์ผ์ฐจ: 3์ผ๊ฐ„ ํ‚คํ†  ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ํ‚คํ† ์—์„œ ๋ฆฌ๋งˆ๋กœ ๋น„ํ–‰. 12-14์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฆฌ๋งˆ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ๋ฆฌ๋งˆ์—์„œ ๋ผํŒŒ์Šค๋กœ ๋น„ํ–‰. 14-17์ผ์ฐจ: 4์ผ๊ฐ„ ๋ผํŒŒ์Šค ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 17 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 6 days in Denver. You'll spend 4 days in La Paz. You'll spend 5 days in Acapulco. You'll attend a conference in Acapulco between the 6th and 10th. You will spend 3 days in Lima. You will enjoy a family vacation in Lima between the 12th and 14th. You will spend 3 days in Quito. Here are the cities that have direct flights: Acapulco and Denver, Acapulco and Quito, Denver and Quito, Denver and Lima, La Paz and Lima, La Paz and Quito, Lima and Denver, Lima and Acapulco, Quito and Lima. Plan a trip to visit five cities in 17 days with direct flights.
Days 1-6: Visit Denver for 6 days. Day 6: Fly from Denver to Acapulco. Days 6-10: Visit Acapulco for 5 days. Day 10: Fly from Acapulco to Quito. Days 10-12: Visit Quito for 3 days. Day 12: Fly from Quito to Lima. Days 12-14: Visit Lima for 3 days. Day 14: Fly from Lima to La Paz. Days 14-17: Visit La Paz for 4 days.
๋ณ€์ˆ˜ ์ •์˜: D: ๋ด๋ฒ„, L: ๋ผํŒŒ์Šค, A: ์•„์นดํ’€์ฝ”, R: ๋ฆฌ๋งˆ, Q: ํ‚คํ†  a_D: ๋ด๋ฒ„ ๋„์ฐฉ์ผ, d_D: ๋ด๋ฒ„ ์ถœ๋ฐœ์ผ a_L: ๋ผํŒŒ์Šค ๋„์ฐฉ์ผ, d_L: ๋ผํŒŒ์Šค ์ถœ๋ฐœ์ผ a_A: ์•„์นดํ’€์ฝ” ๋„์ฐฉ์ผ, d_A: ์•„์นดํ’€์ฝ” ์ถœ๋ฐœ์ผ a_R: ๋ฆฌ๋งˆ ๋„์ฐฉ์ผ, d_R: ๋ฆฌ๋งˆ ์ถœ๋ฐœ์ผ a_Q: ํ‚คํ†  ๋„์ฐฉ์ผ, d_Q: ํ‚คํ†  ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_D - a_D + 1 = 6 d_L - a_L + 1 = 4 d_A - a_A + 1 = 5 d_R - a_R + 1 = 3 d_Q - a_Q + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_D, d_L, d_A, d_R, d_Q) - min(a_D, a_L, a_A, a_R, a_Q) + 1 = 17 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [6, 10] โˆฉ [a_A, d_A] โ‰  โˆ… [12, 14] โˆฉ [a_R, d_R] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (A โ†” D), (A โ†” Q), (D โ†” Q), (D โ†” R), (L โ†” R), (L โ†” Q), (R โ†” D), (R โ†” A), (Q โ†” R) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ๋ด๋ฒ„ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ๋ด๋ฒ„์—์„œ ์•„์นดํ’€์ฝ”๋กœ ๋น„ํ–‰. 6-10์ผ์ฐจ:5์ผ๊ฐ„ ์•„์นดํ’€์ฝ” ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์•„์นดํ’€์ฝ”์—์„œ ํ‚คํ† ๋กœ ๋น„ํ–‰. 10-12์ผ์ฐจ: 3์ผ๊ฐ„ ํ‚คํ†  ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ํ‚คํ† ์—์„œ ๋ฆฌ๋งˆ๋กœ ๋น„ํ–‰. 12-14์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฆฌ๋งˆ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ๋ฆฌ๋งˆ์—์„œ ๋ผํŒŒ์Šค๋กœ ๋น„ํ–‰. 14-17์ผ์ฐจ: 4์ผ๊ฐ„ ๋ผํŒŒ์Šค ๋ฐฉ๋ฌธ.
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์ด 13์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ 3์ผ ๋™์•ˆ ์—ฌํ–‰์„ ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋งˆ์„ธ์ด์˜ค์—์„œ 2์ผ ๋™์•ˆ ๋จธ๋ฌด๋ฅผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 2์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์•„์ˆœ์‹œ์˜จ์—์„œ 3์ผ์„ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์•„์ˆœ์‹œ์˜จ์ด ์„ธ ๋ฒˆ์งธ ์—ฌ์ •์ง€์˜€์œผ๋ฉด ์ข‹๊ฒ ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์‚ฐํ‹ฐ์•„๊ณ ์™€ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค, ๋ชฌํ…Œ๋น„๋ฐ์˜ค์™€ ์•„์ˆœ์‹œ์˜จ, ๋งˆ์„ธ์ด์™€ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด, ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์™€ ๋ชฌํ…Œ๋น„๋ฐ์˜ค, ์•„์ˆœ์‹œ์˜จ๊ณผ ๋งˆ์„ธ์ด์˜ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 13์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์—์„œ ๋งˆ์„ธ์ด์˜ค๋กœ ๋น„ํ–‰. 4-5์ผ์ฐจ: 2์ผ๊ฐ„ ๋งˆ์„ธ์ด์˜ค ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋งˆ์„ธ์ด์˜ค์—์„œ ์•„์ˆœ์‹œ์˜จ์œผ๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ์•„์ˆœ์‹œ์˜จ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์•„์ˆœ์‹œ์˜จ์—์„œ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค๋กœ ๋น„ํ–‰. 9-12์ผ์ฐจ: 4์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ ์‚ฐํ‹ฐ์•„๊ณ ๋กœ ๋น„ํ–‰. 12-13์ผ์ฐจ: 2์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ  ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 13 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will spend 3 days traveling in Montevideo. You will spend 4 days in Buenos Aires. You'll spend 2 days in Maceio. You'll be traveling to Santiago for 2 days. You'll be spending 4 days in Paramaribo. You'll spend 3 days in Asuncion. You want Asuncion to be third stop on your itinerary. Here are the cities that have direct flights: Santiago and Buenos Aires, Montevideo and Asuncion, Maceio and Paramaribo, Buenos Aires and Montevideo, Asuncion and Maceio. Plan a trip to visit six cities in 13 days with direct flights.
Days 1-4: Visit Paramaribo for 4 days. Day 4: Fly from Paramaribo to Maceio. Days 4-5: Visit Maceio for 2 days. Day 5: Fly from Maceio to Asuncion. Days 5-7: Visit Asuncion for 3 days. Day 7: Fly from Asuncion to Montevideo. Days 7-9: Visit Montevideo for 3 days. Day 9: Fly from Montevideo to Buenos Aires. Days 9-12: Visit Buenos Aires for 4 days. Day 12: Fly from Buenos Aires to Santiago. Days 12-13: Visit Santiago for 2 days.
๋ณ€์ˆ˜ ์ •์˜: M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค, B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค, Ma: ๋งˆ์„ธ์ด์˜ค, S: ์‚ฐํ‹ฐ์•„๊ณ , P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด, A: ์•„์ˆœ์‹œ์˜จ a_M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋„์ฐฉ์ผ, d_M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค ์ถœ๋ฐœ์ผ a_B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋„์ฐฉ์ผ, d_B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ์ถœ๋ฐœ์ผ a_Ma: ๋งˆ์„ธ์ด์˜ค ๋„์ฐฉ์ผ, d_Ma: ๋งˆ์„ธ์ด์˜ค ์ถœ๋ฐœ์ผ a_S: ์‚ฐํ‹ฐ์•„๊ณ  ๋„์ฐฉ์ผ, d_S: ์‚ฐํ‹ฐ์•„๊ณ  ์ถœ๋ฐœ์ผ a_P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋„์ฐฉ์ผ, d_P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ์ถœ๋ฐœ์ผ a_A: ์•„์ˆœ์‹œ์˜จ ๋„์ฐฉ์ผ, d_A: ์•„์ˆœ์‹œ์˜จ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_M - a_M + 1 = 3 d_B - a_B + 1 = 4 d_Ma - a_Ma + 1 = 2 d_S - a_S + 1 = 2 d_P - a_P + 1 = 4 d_A - a_A + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_M, d_B, d_Ma, d_S, d_P, d_A) - min(a_M, a_B, a_Ma, a_S, a_P, a_A) + 1 = 13 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_A < a_P, a_A < a_Ma ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (S โ†” B), (M โ†” A), (Ma โ†” P), (B โ†” M), (A โ†” Ma) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์—์„œ ๋งˆ์„ธ์ด์˜ค๋กœ ๋น„ํ–‰. 4-5์ผ์ฐจ: 2์ผ๊ฐ„ ๋งˆ์„ธ์ด์˜ค ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋งˆ์„ธ์ด์˜ค์—์„œ ์•„์ˆœ์‹œ์˜จ์œผ๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ์•„์ˆœ์‹œ์˜จ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์•„์ˆœ์‹œ์˜จ์—์„œ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋กœ ๋น„ํ–‰. 7-9์ผ์ฐจ: 3์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค๋กœ ๋น„ํ–‰. 9-12์ผ์ฐจ: 4์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ ์‚ฐํ‹ฐ์•„๊ณ ๋กœ ๋น„ํ–‰. 12-13์ผ์ฐจ: 2์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ  ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 23์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์‹œ์นด๊ณ ์—์„œ๋Š” 7์ผ ๋™์•ˆ ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ์—๋“œ๋จผํ„ด์„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3-5์ผ ์‚ฌ์ด์— ์—๋“œ๋จผํ„ด์—์„œ ์•„์ด์Šคํ•˜ํ‚ค๋ฅผ ๋ณด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ๋งˆ๋ผ์นด์ด๋ณด์—์„œ๋Š” 5์ผ์„ ๋จธ๋ฌผ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ ์ฃผ๋…ธ์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ํ€˜๋ฒก์—์„œ ๋จธ๋ฌผ๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 12์ผ๊ณผ 17์ผ ์‚ฌ์ด์— ํ€˜๋ฒก์—์„œ ์Šค๋…ธ์šฐ๋ณด๋“œ๋ฅผ ํƒˆ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ํฌ๋ฅด๋“œํ”„๋ž‘์Šค์—์„œ ์žˆ๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ํฌ๋ฅด๋“œํ”„๋ž‘์Šค๋Š” ๋งˆ์ง€๋ง‰์—์„œ ๋‘ ๋ฒˆ์งธ ์—ฌํ–‰์ง€์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์ฃผ๋…ธ์™€ ์‹œ์นด๊ณ , ์ฃผ๋…ธ์™€ ํ€˜๋ฒก, ํฌ๋ฅด๋“œํ”„๋ž‘์Šค์™€ ํ€˜๋ฒก, ๋งˆ๋ผ์นด์ด๋ณด์™€ ํฌ๋ฅด๋“œํ”„๋ž‘์Šค, ์—๋“œ๋จผํ„ด๊ณผ ์ฃผ๋…ธ, ์—๋“œ๋จผํ„ด๊ณผ ํฌ๋ฅด๋“œํ”„๋ž‘์Šค, ์‹œ์นด๊ณ ์™€ ์—๋“œ๋จผํ„ด, ํ€˜๋ฒก๊ณผ ์‹œ์นด๊ณ . ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 23์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์ฃผ๋…ธ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์ฃผ๋…ธ์—์„œ ์—๋“œ๋จผํ„ด์œผ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ์—๋“œ๋จผํ„ด ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์—๋“œ๋จผํ„ด์—์„œ ์‹œ์นด๊ณ ๋กœ ๋น„ํ–‰. 6-12์ผ์ฐจ: 7์ผ๊ฐ„ ์‹œ์นด๊ณ  ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ์‹œ์นด๊ณ ์—์„œ ํ€˜๋ฒก์œผ๋กœ ๋น„ํ–‰. 12-17์ผ์ฐจ: 6์ผ๊ฐ„ ํ€˜๋ฒก ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ํ€˜๋ฒก์—์„œ ํฌ๋ฅด๋“œํ”„๋ž‘์Šค๋กœ ๋น„ํ–‰. 17-19์ผ์ฐจ: 3์ผ๊ฐ„ ํฌ๋ฅด๋“œํ”„๋ž‘์Šค ๋ฐฉ๋ฌธ. 19์ผ์ฐจ: ํฌ๋ฅด๋“œํ”„๋ž‘์Šค์—์„œ ๋งˆ๋ผ์นด์ด๋ณด๋กœ ๋น„ํ–‰. 19-23์ผ์ฐจ: 5์ผ๊ฐ„ ๋งˆ๋ผ์นด์ด๋ณด ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 23 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. In Chicago, you'll be there for 7 days. You'll visit Edmonton for 4 days. You want to see ice hockey in Edmonton between days 3-5. You want to spend 5 days in Maracaibo. You'll spend 3 days in Juneau. You want to spend 6 days in Quebec. You will be snowboarding in Quebec between the 12th and 17th. You want to be in Fort-de-France for 3 days. Fort-de-France is the second to last destination on your trip. Here are the cities that have direct flights: Juneau and Chicago, Juneau and Quebec, Fort-de-France and Quebec, Maracaibo and Fort-de-France, Edmonton and Juneau, Edmonton and Fort-de-France, Chicago and Edmonton, Quebec and Chicago. Plan a trip to visit six cities in 23 days with direct flights.
Days 1-3: Visit Juneau for 3 days. Day 3: Fly from Juneau to Edmonton. Days 3-6: Visit Edmonton for 4 days. Day 6: Fly from Edmonton to Chicago. Days 6-12: Visit Chicago for 7 days. Day 12: Fly from Chicago to Quebec City. Days 12-17: Visit Quebec City for 6 days. Day 17: Fly from Quebec to Fort-de-France. Days 17-19: Visit Fort-de-France for 3 days. Day 19: Fly from Fort-de-France to Maracaibo. Days 19-23: Visit Maracaibo for 5 days.
๋ณ€์ˆ˜ ์ •์˜: C: ์‹œ์นด๊ณ , E: ์—๋“œ๋จผํ„ด, M: ๋งˆ๋ผ์นด์ด๋ณด, J: ์ฃผ๋…ธ, Q: ํ€˜๋ฒก, F: ํฌ๋ฅด๋“œํ”„๋ž‘์Šค a_C: ์‹œ์นด๊ณ  ๋„์ฐฉ์ผ, d_C: ์‹œ์นด๊ณ  ์ถœ๋ฐœ์ผ a_E: ์—๋“œ๋จผํ„ด ๋„์ฐฉ์ผ, d_E: ์—๋“œ๋จผํ„ด ์ถœ๋ฐœ์ผ a_M: ๋งˆ๋ผ์นด์ด๋ณด ๋„์ฐฉ์ผ, d_M: ๋งˆ๋ผ์นด์ด๋ณด ์ถœ๋ฐœ์ผ a_J: ์ฃผ๋…ธ ๋„์ฐฉ์ผ, d_J: ์ฃผ๋…ธ ์ถœ๋ฐœ์ผ a_Q: ํ€˜๋ฒก ๋„์ฐฉ์ผ, d_Q: ํ€˜๋ฒก ์ถœ๋ฐœ์ผ a_F: ํฌ๋ฅด๋“œํ”„๋ž‘์Šค ๋„์ฐฉ์ผ, d_F: ํฌ๋ฅด๋“œํ”„๋ž‘์Šค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_C - a_C + 1 = 7 d_E - a_E + 1 = 4 d_M - a_M + 1 = 5 d_J - a_J + 1 = 3 d_Q - a_Q + 1 = 6 d_F - a_F + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_C, d_E, d_M, d_J, d_Q, d_F) - min(a_C, a_E, a_M, a_J, a_Q, a_F) + 1 = 23 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [3, 5] โˆฉ [a_E, d_E] โ‰  โˆ… [12, 17] โˆฉ [a_Q, d_Q] โ‰  โˆ… a_F > a_M, a_F > a_J, a_F > a_E, a_F > a_C, a_F > a_Q d_F < max(d_C, d_E, d_M, d_J, d_Q, d_F) ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (J โ†” C), (J โ†” Q), (F โ†” Q), (M โ†” F), (E โ†” J), (E โ†” F), (C โ†” E), (Q โ†” C) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์ฃผ๋…ธ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์ฃผ๋…ธ์—์„œ ์—๋“œ๋จผํ„ด์œผ๋กœ ๋น„ํ–‰. 3-6์ผ์ฐจ: 4์ผ๊ฐ„ ์—๋“œ๋จผํ„ด ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์—๋“œ๋จผํ„ด์—์„œ ์‹œ์นด๊ณ ๋กœ ๋น„ํ–‰. 6-12์ผ์ฐจ: 7์ผ๊ฐ„ ์‹œ์นด๊ณ  ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ์‹œ์นด๊ณ ์—์„œ ํ€˜๋ฒก์œผ๋กœ ๋น„ํ–‰. 12-17์ผ์ฐจ: 6์ผ๊ฐ„ ํ€˜๋ฒก ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ํ€˜๋ฒก์—์„œ ํฌ๋ฅด๋“œํ”„๋ž‘์Šค๋กœ ๋น„ํ–‰. 17-19์ผ์ฐจ: 3์ผ๊ฐ„ ํฌ๋ฅด๋“œํ”„๋ž‘์Šค ๋ฐฉ๋ฌธ. 19์ผ์ฐจ: ํฌ๋ฅด๋“œํ”„๋ž‘์Šค์—์„œ ๋งˆ๋ผ์นด์ด๋ณด๋กœ ๋น„ํ–‰. 19-23์ผ์ฐจ: 5์ผ๊ฐ„ ๋งˆ๋ผ์นด์ด๋ณด ๋ฐฉ๋ฌธ.
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์•„๋ฉ”๋ฆฌ์นด
6
์ง์ ‘ ์ƒ์„ฑ
์ด 22์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์‚ฐํƒ€ํด๋ผ๋ผ์—์„œ 4์ผ์„ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์‚ฐํƒ€ํด๋ผ๋ผ๋ฅผ ๊ฐ€์ด๋“œํ•ด์ค„ ํ˜„์ง€์ธ์„ 13์ผ๊ณผ 16์ผ ์‚ฌ์ด์— ์„ญ์™ธํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. 3์ผ๊ฐ„์€ ๋งˆ์‚ฌํ‹€๋ฆฐ์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์•Œ๋ผํ›„์—˜๋ผ์—์„œ 5์ผ์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์•Œ๋ผํ›„์—˜๋ผ๊ฐ€ ๋‹ค์„ฏ๋ฒˆ์งธ ์—ฌ์ •์ง€์˜€์œผ๋ฉด ์ข‹๊ฒ ์Šต๋‹ˆ๋‹ค. 5์ผ ๋™์•ˆ ์˜คํƒ€์™€์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์ฟ ์—ฅ์นด์—์„œ 3์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์ฟ ์—ฅ์นด์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ธฐ ์œ„ํ•ด 20์ผ๋ถ€ํ„ฐ ๋จธ๋ฌด๋ฅผ ํ˜ธํ…”์„ ๋ฏธ๋ฆฌ ๊ฒฐ์ œํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. 7์ผ ๋™์•ˆ ๋‰ด์š•์„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์—ฌํ–‰ 6์ผ์ฐจ์— ๋‰ด์š•์—์„œ ๋ฎค์ง€์ปฌ์„ ์˜ˆ๋งคํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋‰ด์š•๊ณผ ์˜คํƒ€์™€, ๋‰ด์š•๊ณผ ์•Œ๋ผํ›„์—˜๋ผ, ๋งˆ์‚ฌํ‹€๋ฆฐ๊ณผ ๋‰ด์š•, ๋งˆ์‚ฌํ‹€๋ฆฐ๊ณผ ์ฟ ์—ฅ์นด, ์•Œ๋ผํ›„์—˜๋ผ์™€ ์ฟ ์—ฅ์นด, ์ฟ ์—ฅ์นด์™€ ๋‰ด์š•, ์‚ฐํƒ€ํด๋ผ๋ผ์™€ ์•Œ๋ผํ›„์—˜๋ผ, ์‚ฐํƒ€ํด๋ผ๋ผ์™€ ๋งˆ์‚ฌํ‹€๋ฆฐ, ์˜คํƒ€์™€์™€ ์•Œ๋ผํ›„์—˜๋ผ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 22์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ์˜คํƒ€์™€ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์˜คํƒ€์™€์—์„œ ๋‰ด์š•์œผ๋กœ ๋น„ํ–‰. 5-11์ผ์ฐจ: 7์ผ๊ฐ„ ๋‰ด์š• ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋‰ด์š•์—์„œ ๋งˆ์‚ฌํ‹€๋ฆฐ๋กœ ๋น„ํ–‰. 11-13์ผ์ฐจ: 3์ผ๊ฐ„ ๋งˆ์‚ฌํ‹€๋ฆฐ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋งˆ์‚ฌํ‹€๋ฆฐ์—์„œ ์‚ฐํƒ€ํด๋ผ๋ผ๋กœ ๋น„ํ–‰. 13-16์ผ์ฐจ: 4์ผ๊ฐ„ ์‚ฐํƒ€ํด๋ผ๋ผ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ์‚ฐํƒ€ํด๋ผ๋ผ์—์„œ ์•Œ๋ผํ›„์—˜๋ผ๋กœ ๋น„ํ–‰. 16-20์ผ์ฐจ: 5์ผ๊ฐ„ ์•Œ๋ผํ›„์—˜๋ผ ๋ฐฉ๋ฌธ. 20์ผ์ฐจ: ์•Œ๋ผํ›„์—˜๋ผ์—์„œ ์ฟ ์—ฅ์นด๋กœ ๋น„ํ–‰. 20-22์ผ์ฐจ: 3์ผ๊ฐ„ ์ฟ ์—ฅ์นด ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 22 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will spend 4 days in Santa Clara. You've arranged for a local to guide you around Santa Clara between the 13th and 16th. You'll be in Mazatlรกn for 3 days. You'll spend 5 days in Alajuela. Hopefully, Alajuela will be the 5th stop on the itinerary. You'll spend 5 days in Ottawa. You want to spend 3 days in Cuenca. You have prepaid for a hotel in Cuenca, where you will be staying from day 20 of your trip to spend some time there. You'll be visiting New York City for 7 days. You've booked a musical in New York City on day 6 of your trip. Here are the cities that have direct flights: New York and Ottawa, New York and Alajuela, Mazatlรกn and New York, Mazatlรกn and Cuenca, Alajuela and Cuenca, Cuenca and New York, Santa Clara and Alajuela, Santa Clara and Mazatlรกn, Ottawa and Alajuela. Plan a trip to visit six cities in 22 days with direct flights.
Days 1-5: Visit Ottawa for 5 days. Day 5: Fly from Ottawa to New York City. Days 5-11: Visit New York for 7 days. Day 11: Fly from New York to Mazatlรกn. Days 11-13: Visit Mazatlรกn for 3 days. Day 13: Fly from Mazatlรกn to Santa Clara. Days 13-16: Visit Santa Clara for 4 days. Day 16: Fly from Santa Clara to Alajuela. Days 16-20: Visit Alajuela for 5 days. Day 20: Fly from Alajuela to Cuenca. Days 20-22: Visit Cuenca for 3 days.
๋ณ€์ˆ˜ ์ •์˜: S: ์‚ฐํƒ€ํด๋ผ๋ผ, M: ๋งˆ์‚ฌํ‹€๋ฆฐ, A: ์•Œ๋ผํ›„์—˜๋ผ, O: ์˜คํƒ€์™€, C: ์ฟ ์—ฅ์นด, N: ๋‰ด์š• a_S: ์‚ฐํƒ€ํด๋ผ๋ผ ๋„์ฐฉ์ผ, d_S: ์‚ฐํƒ€ํด๋ผ๋ผ ์ถœ๋ฐœ์ผ a_M: ๋งˆ์‚ฌํ‹€๋ฆฐ ๋„์ฐฉ์ผ, d_M: ๋งˆ์‚ฌํ‹€๋ฆฐ ์ถœ๋ฐœ์ผ a_A: ์•Œ๋ผํ›„์—˜๋ผ ๋„์ฐฉ์ผ, d_A: ์•Œ๋ผํ›„์—˜๋ผ ์ถœ๋ฐœ์ผ a_O: ์˜คํƒ€์™€ ๋„์ฐฉ์ผ, d_O: ์˜คํƒ€์™€ ์ถœ๋ฐœ์ผ a_C: ์ฟ ์—ฅ์นด ๋„์ฐฉ์ผ, d_C: ์ฟ ์—ฅ์นด ์ถœ๋ฐœ์ผ a_N: ๋‰ด์š• ๋„์ฐฉ์ผ, d_N: ๋‰ด์š• ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_S - a_S + 1 = 4 d_M - a_M + 1 = 3 d_A - a_A + 1 = 5 d_O - a_O + 1 = 5 d_C - a_C + 1 = 3 d_N - a_N + 1 = 7 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_S, d_M, d_A, d_O, d_C, d_N) - min(a_S, a_M, a_A, a_O, a_C, a_N) + 1 = 22 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [13, 16] โˆฉ [a_S, d_S] โ‰  โˆ… a_A < a_C a_C = 20 a_N โ‰ค 6 โ‰ค d_N ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (N โ†” O), (N โ†” A), (M โ†” N), (M โ†” C), (A โ†” C), (C โ†” N), (S โ†” A), (S โ†” M), (O โ†” A) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ์˜คํƒ€์™€ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์˜คํƒ€์™€์—์„œ ๋‰ด์š•์œผ๋กœ ๋น„ํ–‰. 5-11์ผ์ฐจ: 7์ผ๊ฐ„ ๋‰ด์š• ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋‰ด์š•์—์„œ ๋งˆ์‚ฌํ‹€๋ฆฐ๋กœ ๋น„ํ–‰. 11-13์ผ์ฐจ: 3์ผ๊ฐ„ ๋งˆ์‚ฌํ‹€๋ฆฐ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋งˆ์‚ฌํ‹€๋ฆฐ์—์„œ ์‚ฐํƒ€ํด๋ผ๋ผ๋กœ ๋น„ํ–‰. 13-16์ผ์ฐจ: 4์ผ๊ฐ„ ์‚ฐํƒ€ํด๋ผ๋ผ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ์‚ฐํƒ€ํด๋ผ๋ผ์—์„œ ์•Œ๋ผํ›„์—˜๋ผ๋กœ ๋น„ํ–‰. 16-20์ผ์ฐจ: 5์ผ๊ฐ„ ์•Œ๋ผํ›„์—˜๋ผ ๋ฐฉ๋ฌธ. 20์ผ์ฐจ: ์•Œ๋ผํ›„์—˜๋ผ์—์„œ ์ฟ ์—ฅ์นด๋กœ ๋น„ํ–‰. 20-22์ผ์ฐจ: 3์ผ๊ฐ„ ์ฟ ์—ฅ์นด ๋ฐฉ๋ฌธ.
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์•„๋ฉ”๋ฆฌ์นด
6
์ง์ ‘ ์ƒ์„ฑ
์ด 23์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 2์ผ๊ฐ„ ๋ผํŒŒ์Šค์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์ฟจ๋ฆฌ์•„์นธ์„ 4์ผ ๋™์•ˆ ๋ฐฉ๋ฌธํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ์ƒํŒŒ์šธ๋ฃจ์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 2-3์ผ ์‚ฌ์ด์— ์ƒํŒŒ์šธ๋ฃจ ๋ฏธ์ˆ ๊ด€์— ๊ฐ€๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ ์ดํ‚คํ† ์Šค์—์„œ ๋จธ๋ฌด๋ฅด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 8์ผ๊ณผ 10์ผ ์‚ฌ์ด์— ์ดํ‚คํ† ์Šค์—์„œ ์นœ๊ตฌ์™€ ํ•จ๊ป˜ ์—ฌํ–‰์„ ์ฆ๊ธธ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์•ˆํ‹ฐ๊ณผ์—์„œ 5์ผ ๋™์•ˆ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์›Œ์‹ฑํ„ดD.C์—์„œ 7์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 17์ผ๊ณผ 23์ผ ์‚ฌ์ด์—๋Š” ์›Œ์‹ฑํ„ดD.C์—์„œ ๋น„์ฆˆ๋‹ˆ์Šค ๋ฏธํŒ…์ด ์žˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์›Œ์‹ฑํ„ดD.C์™€ ๋ผํŒŒ์Šค, ์›Œ์‹ฑํ„ดD.C์™€ ์ฟจ๋ฆฌ์•„์นธ, ์•ˆํ‹ฐ๊ณผ์™€ ์ฟจ๋ฆฌ์•„์นธ, ๋ผํŒŒ์Šค์™€ ์ƒํŒŒ์šธ๋ฃจ, ๋ผํŒŒ์Šค์™€ ์•ˆํ‹ฐ๊ณผ, ์ดํ‚คํ† ์Šค์™€ ์•ˆํ‹ฐ๊ณผ, ์ดํ‚คํ† ์Šค์™€ ์ฟจ๋ฆฌ์•„์นธ, ์ดํ‚คํ† ์Šค์™€ ๋ผํŒŒ์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 23์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ: 7์ผ๊ฐ„ ์ƒํŒŒ์šธ๋ฃจ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์ƒํŒŒ์šธ๋ฃจ์—์„œ ๋ผํŒŒ์Šค๋กœ ๋น„ํ–‰. 7-8์ผ์ฐจ: 2์ผ๊ฐ„ ๋ผํŒŒ์Šค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ผํŒŒ์Šค์—์„œ ์ดํ‚คํ† ์Šค๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ์ดํ‚คํ† ์Šค ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์ดํ‚คํ† ์Šค์—์„œ ์•ˆํ‹ฐ๊ณผ๋กœ ๋น„ํ–‰. 10-14์ผ์ฐจ: 5์ผ๊ฐ„ ์•ˆํ‹ฐ๊ณผ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ์•ˆํ‹ฐ๊ณผ์—์„œ ์ฟจ๋ฆฌ์•„์นธ์œผ๋กœ ๋น„ํ–‰. 14-17์ผ์ฐจ: 4์ผ๊ฐ„ ์ฟจ๋ฆฌ์•„์นธ ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ์ฟจ๋ฆฌ์•„์นธ์—์„œ ์›Œ์‹ฑํ„ดD.C๋กœ ๋น„ํ–‰. 17-23์ผ์ฐจ: 7์ผ๊ฐ„ ์›Œ์‹ฑํ„ดD.C ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 23 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 2 days in La Paz. You'll be visiting Culiacรกn for 4 days. You'll be in Sรฃo Paulo for 7 days. You'd like to go to the Sรฃo Paulo Museum of Art between days 2-3. You'd like to spend 3 days in Iquitos. You'll be in Iquitos between days 8 and 10. You will spend 5 days in Antigua. You want to spend 7 days in Washington, D.C. You have a business meeting in Washington, D.C. between the 17th and 23rd. Here are the cities that have direct flights: Washington, D.C. and La Paz, Washington, D.C. and Culiacรกn, Antigua and Culiacรกn, La Paz and Sรฃo Paulo, La Paz and Antigua, Iquitos and Antigua, Iquitos and Culiacรกn, Iquitos and La Paz. Plan a trip to visit six cities in 23 days with direct flights.
Days 1-7: Visit Sรฃo Paulo for 7 days. Day 7: Fly from Sรฃo Paulo to La Paz. Days 7-8: Visit La Paz for 2 days. Day 8: Fly from La Paz to Iquitos. Days 8-10: Visit Iquitos for 3 days. Day 10: Fly from Iquitos to Antigua. Days 10-14: Visit Antigua for 5 days. Day 14: Fly from Antigua to Culiacรกn. Days 14-17: Visit Culiacรกn for 4 days. Day 17: Fly from Culiacรกn to Washington, D.C. Days 17-23: Visit Washington, D.C. for 7 days.
๋ณ€์ˆ˜ ์ •์˜: L: ๋ผํŒŒ์Šค, C: ์ฟจ๋ฆฌ์•„์นธ, S: ์ƒํŒŒ์šธ๋ฃจ, I: ์ดํ‚คํ† ์Šค, A: ์•ˆํ‹ฐ๊ณผ, W: ์›Œ์‹ฑํ„ดD.C a_L: ๋ผํŒŒ์Šค ๋„์ฐฉ์ผ, d_L: ๋ผํŒŒ์Šค ์ถœ๋ฐœ์ผ a_C: ์ฟจ๋ฆฌ์•„์นธ ๋„์ฐฉ์ผ, d_C: ์ฟจ๋ฆฌ์•„์นธ ์ถœ๋ฐœ์ผ a_S: ์ƒํŒŒ์šธ๋ฃจ ๋„์ฐฉ์ผ, d_S: ์ƒํŒŒ์šธ๋ฃจ ์ถœ๋ฐœ์ผ a_I: ์ดํ‚คํ† ์Šค ๋„์ฐฉ์ผ, d_I: ์ดํ‚คํ† ์Šค ์ถœ๋ฐœ์ผ a_A: ์•ˆํ‹ฐ๊ณผ ๋„์ฐฉ์ผ, d_A: ์•ˆํ‹ฐ๊ณผ ์ถœ๋ฐœ์ผ a_W: ์›Œ์‹ฑํ„ดD.C ๋„์ฐฉ์ผ, d_W: ์›Œ์‹ฑํ„ดD.C ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_L - a_L + 1 = 2 d_C - a_C + 1 = 4 d_S - a_S + 1 = 7 d_I - a_I + 1 = 3 d_A - a_A + 1 = 5 d_W - a_W + 1 = 7 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_L, d_C, d_S, d_I, d_A, d_W) - min(a_L, a_C, a_S, a_I, a_A, a_W) + 1 = 23 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: {2, 3} โˆฉ [a_S, d_S] โ‰  โˆ… [8, 10] โˆฉ [a_I, d_I] โ‰  โˆ… [17, 23] โˆฉ [a_W, d_W] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (W โ†” L), (W โ†” C), (A โ†” C), (L โ†” S), (L โ†” A), (I โ†” A), (I โ†” C), (I โ†” L) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ: 7์ผ๊ฐ„ ์ƒํŒŒ์šธ๋ฃจ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์ƒํŒŒ์šธ๋ฃจ์—์„œ ๋ผํŒŒ์Šค๋กœ ๋น„ํ–‰. 7-8์ผ์ฐจ: 2์ผ๊ฐ„ ๋ผํŒŒ์Šค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ผํŒŒ์Šค์—์„œ ์ดํ‚คํ† ์Šค๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ์ดํ‚คํ† ์Šค ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์ดํ‚คํ† ์Šค์—์„œ ์•ˆํ‹ฐ๊ณผ๋กœ ๋น„ํ–‰. 10-14์ผ์ฐจ: 5์ผ๊ฐ„ ์•ˆํ‹ฐ๊ณผ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ์•ˆํ‹ฐ๊ณผ์—์„œ ์ฟจ๋ฆฌ์•„์นธ์œผ๋กœ ๋น„ํ–‰. 14-17์ผ์ฐจ: 4์ผ๊ฐ„ ์ฟจ๋ฆฌ์•„์นธ ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ์ฟจ๋ฆฌ์•„์นธ์—์„œ ์›Œ์‹ฑํ„ดD.C๋กœ ๋น„ํ–‰. 17-23์ผ์ฐจ: 7์ผ๊ฐ„ ์›Œ์‹ฑํ„ดD.C ๋ฐฉ๋ฌธ.
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์•„๋ฉ”๋ฆฌ์นด
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์ง์ ‘ ์ƒ์„ฑ
์ด 14์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋‰ด์š•์—์„œ 6์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ๋„ 6์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ๋ฆฌ๋งˆ์— ๋ฐฉ๋ฌธํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์—ฌํ–‰ 4์ผ์ฐจ์— ๋‰ด์š• ์‹œํ‹ฐ ํˆฌ์–ด ๋ฒ„์Šค๋ฅผ ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์™€ ๋‰ด์š•, ๋ฆฌ๋งˆ์™€ ๋‰ด์š•. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 14์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฆฌ๋งˆ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ฆฌ๋งˆ์—์„œ ๋‰ด์š•์œผ๋กœ ๋น„ํ–‰. 4-9์ผ์ฐจ: 6์ผ๊ฐ„ ๋‰ด์š• ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋‰ด์š•์—์„œ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค๋กœ ๋น„ํ–‰. 9-14์ผ์ฐจ: 6์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 14 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will spend 6 days in New York City. You also want to spend 6 days in Buenos Aires. You will be in Lima for 4 days. You have booked a New York City tour bus for day 4 of your trip. Here are the cities that have direct flights: Buenos Aires and New York, Lima and New York. Plan your trip to visit the three cities in 14 days using direct flights.
Days 1-4: Visit Lima for 4 days. Day 4: Fly from Lima to New York. Days 4-9: Visit New York for 6 days. Day 9: Fly from New York to Buenos Aires. Days 9-14: Visit Buenos Aires for 6 days.
๋ณ€์ˆ˜ ์ •์˜: N: ๋‰ด์š•, B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค, L: ๋ฆฌ๋งˆ a_N: ๋‰ด์š• ๋„์ฐฉ์ผ, d_N: ๋‰ด์š• ์ถœ๋ฐœ์ผ a_B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋„์ฐฉ์ผ, d_B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ์ถœ๋ฐœ์ผ a_L: ๋ฆฌ๋งˆ ๋„์ฐฉ์ผ, d_L: ๋ฆฌ๋งˆ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_N - a_N + 1 = 6 d_B - a_B + 1 = 6 d_L - a_L + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_N, d_B, d_L) - min(a_N, a_B, a_L) + 1 = 14 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_N โ‰ค 4 โ‰ค d_N ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (B โ†” N), (L โ†” N) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฆฌ๋งˆ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ฆฌ๋งˆ์—์„œ ๋‰ด์š•์œผ๋กœ ๋น„ํ–‰. 4-9์ผ์ฐจ: 6์ผ๊ฐ„ ๋‰ด์š• ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋‰ด์š•์—์„œ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค๋กœ ๋น„ํ–‰. 9-14์ผ์ฐจ: 6์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋ฐฉ๋ฌธ.
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์ด 10์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ํ•ด๋ฐ€ํ„ด์—์„œ 3์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์• ํ‹€๋ž€ํƒ€์—์„œ๋Š” 4์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๊ณผ๋‹ฌ๋ผํ•˜๋ผ์—์„œ 5์ผ์„ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๊ฐ€์žฅ ์ ์€ ์ผ์ˆ˜๋ฅผ ๋จธ๋ฌด๋ฅด๋Š” ์—ฌํ–‰์ง€๋ฅผ ๋งˆ์ง€๋ง‰์— ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์• ํ‹€๋ž€ํƒ€์™€ ํ•ด๋ฐ€ํ„ด, ๊ณผ๋‹ฌ๋ผํ•˜๋ผ์™€ ์• ํ‹€๋ž€ํƒ€. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 10์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๊ณผ๋‹ฌ๋ผํ•˜๋ผ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๊ณผ๋‹ฌ๋ผํ•˜๋ผ์—์„œ ์• ํ‹€๋ž€ํƒ€๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ์• ํ‹€๋ž€ํƒ€ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์• ํ‹€๋ž€ํƒ€์—์„œ ํ•ด๋ฐ€ํ„ด์œผ๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ํ•ด๋ฐ€ํ„ด ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 10 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 3 days in Hamilton. You'd like to spend 4 days in Atlanta. You'd like to spend 5 days in Guadalajara. You want to visit the destination where you will stay the fewest days at the very end of your trip. Here are the cities that have direct flights: Atlanta and Hamilton, Guadalajara and Atlanta. Plan a trip to visit three cities in 10 days using direct flights.
Days 1-5: Visit Guadalajara for 5 days. Day 5: Fly from Guadalajara to Atlanta. Days 5-8: Visit Atlanta for 4 days. Day 8: Fly from Atlanta to Hamilton. Days 8-10: Visit Hamilton for 3 days.
๋ณ€์ˆ˜ ์ •์˜: H: ํ•ด๋ฐ€ํ„ด, A: ์• ํ‹€๋ž€ํƒ€, G: ๊ณผ๋‹ฌ๋ผํ•˜๋ผ a_H: ํ•ด๋ฐ€ํ„ด ๋„์ฐฉ์ผ, d_H: ํ•ด๋ฐ€ํ„ด ์ถœ๋ฐœ์ผ a_A: ์• ํ‹€๋ž€ํƒ€ ๋„์ฐฉ์ผ, d_A: ์• ํ‹€๋ž€ํƒ€ ์ถœ๋ฐœ์ผ a_G: ๊ณผ๋‹ฌ๋ผํ•˜๋ผ ๋„์ฐฉ์ผ, d_G: ๊ณผ๋‹ฌ๋ผํ•˜๋ผ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_H - a_H + 1 = 3 d_A - a_A + 1 = 4 d_G - a_G + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_H, d_A, d_G) - min(a_H, a_A, a_G) + 1 = 10 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: max(d_H, d_A, d_G) = d_H ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (A โ†” H), (G โ†” A) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๊ณผ๋‹ฌ๋ผํ•˜๋ผ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๊ณผ๋‹ฌ๋ผํ•˜๋ผ์—์„œ ์• ํ‹€๋ž€ํƒ€๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ์• ํ‹€๋ž€ํƒ€ ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์• ํ‹€๋ž€ํƒ€์—์„œ ํ•ด๋ฐ€ํ„ด์œผ๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ํ•ด๋ฐ€ํ„ด ๋ฐฉ๋ฌธ.
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์ด 11์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 2์ผ ๋™์•ˆ ์กฐ์ง€ํƒ€์šด์„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ์ฐจ์— ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์—์„œ ๋น„์ฆˆ๋‹ˆ์Šค ๋ฏธํŒ…์ด ์žˆ์Šต๋‹ˆ๋‹ค. 7์ผ ๋™์•ˆ ๋ณด๊ณ ํƒ€์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์—ฌํ–‰ ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์กฐ์ง€ํƒ€์šด๊ณผ ๋ณด๊ณ ํƒ€, ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์™€ ๋ณด๊ณ ํƒ€ ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 11์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์—์„œ ๋ณด๊ณ ํƒ€๋กœ ๋น„ํ–‰. 4-10์ผ์ฐจ: 7์ผ๊ฐ„ ๋ณด๊ณ ํƒ€ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ณด๊ณ ํƒ€์—์„œ ์กฐ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 10-11์ผ์ฐจ: 2์ผ๊ฐ„ ์กฐ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 11 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll be in Georgetown for 2 days. You'll be in Mexico City for 4 days. On day 4, you have a business meeting in Mexico City. You'll be in Bogota for 7 days. Here are the cities that have direct flights: Georgetown and Bogota, Mexico City and Bogota. Plan your trip to visit three cities in 11 days using direct flights.
Days 1-4: Visit Mexico City for 4 days. Day 4: Fly from Mexico City to Bogota. Days 4-10: Visit Bogota for 7 days. Day 10: Fly from Bogota to Georgetown. Days 10-11: Visit Georgetown for 2 days.
๋ณ€์ˆ˜ ์ •์˜: G: ์กฐ์ง€ํƒ€์šด, M: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ, B: ๋ณด๊ณ ํƒ€ a_G: ์กฐ์ง€ํƒ€์šด ๋„์ฐฉ์ผ, d_G: ์กฐ์ง€ํƒ€์šด ์ถœ๋ฐœ์ผ a_M: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ๋„์ฐฉ์ผ, d_M: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ์ถœ๋ฐœ์ผ a_B: ๋ณด๊ณ ํƒ€ ๋„์ฐฉ์ผ, d_B: ๋ณด๊ณ ํƒ€ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_G - a_G + 1 = 2 d_M - a_M + 1 = 4 d_B - a_B + 1 = 7 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_G, d_M, d_B) - min(a_G, a_M, a_B) + 1 = 11 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_M โ‰ค 4 โ‰ค d_M ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (G โ†” B), (M โ†” B) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์—์„œ ๋ณด๊ณ ํƒ€๋กœ ๋น„ํ–‰. 4-10์ผ์ฐจ: 7์ผ๊ฐ„ ๋ณด๊ณ ํƒ€ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ณด๊ณ ํƒ€์—์„œ ์กฐ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 10-11์ผ์ฐจ: 2์ผ๊ฐ„ ์กฐ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 10์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 3๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์นด๋ผ์นด์Šค๋ฅผ 4์ผ ๋™์•ˆ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ ๋™์•ˆ ์•„๋ฐ”๋‚˜๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 2์ผ ๋™์•ˆ ๋””ํŠธ๋กœ์ดํŠธ์— ์žˆ๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. ์—ฌํ–‰ 3์ผ์ฐจ์— ์•„๋ฐ”๋‚˜์—์„œ ๋™๊ธฐ์™€ ๋งŒ๋‚˜ ๋™ํ–‰์„ ํ•˜๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์•„๋ฐ”๋‚˜์™€ ์นด๋ผ์นด์Šค, ๋””ํŠธ๋กœ์ดํŠธ์™€ ์•„๋ฐ”๋‚˜. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 10์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ๋””ํŠธ๋กœ์ดํŠธ ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ๋””ํŠธ๋กœ์ดํŠธ์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 2-7์ผ์ฐจ: 6์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์•„๋ฐ”๋‚˜์—์„œ ์นด๋ผ์นด์Šค๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ์นด๋ผ์นด์Šค ๋ฐฉ๋ฌธ.
You plan to visit 3 cities in the Americas for a total of 10 days.You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will be visiting Caracas for 4 days. You will be visiting Havana for 6 days. You'd like to be in Detroit for 2 days. On day 3 of your trip, you have planned to meet a colleague in Havana and travel together. Here are the cities that have direct flights: Havana and Caracas, Detroit and Havana. Plan a trip to visit the three cities in 10 days using direct flights.
Days 1-2: Visit Detroit for 2 days. Day 2: Fly from Detroit to Havana. Days 2-7: Visit Havana for 6 days. Day 7: Fly from Havana to Caracas. Days 7-10: Visit Caracas for 4 days.
๋ณ€์ˆ˜ ์ •์˜: C: ์นด๋ผ์นด์Šค, H: ์•„๋ฐ”๋‚˜, D: ๋””ํŠธ๋กœ์ดํŠธ a_C: ์นด๋ผ์นด์Šค ๋„์ฐฉ์ผ, d_C: ์นด๋ผ์นด์Šค ์ถœ๋ฐœ์ผ a_H: ์•„๋ฐ”๋‚˜ ๋„์ฐฉ์ผ, d_H: ์•„๋ฐ”๋‚˜ ์ถœ๋ฐœ์ผ a_D: ๋””ํŠธ๋กœ์ดํŠธ ๋„์ฐฉ์ผ, d_D: ๋””ํŠธ๋กœ์ดํŠธ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_C - a_C + 1 = 4 d_H - a_H + 1 = 6 d_D - a_D + 1 = 2 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_C, d_H, d_D) - min(a_C, a_H, a_D) + 1 = 10 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_H โ‰ค 3 โ‰ค d_H ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (H โ†” C), (D โ†” H) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-2์ผ์ฐจ: 2์ผ๊ฐ„ ๋””ํŠธ๋กœ์ดํŠธ ๋ฐฉ๋ฌธ. 2์ผ์ฐจ: ๋””ํŠธ๋กœ์ดํŠธ์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 2-7์ผ์ฐจ: 6์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์•„๋ฐ”๋‚˜์—์„œ ์นด๋ผ์นด์Šค๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ์นด๋ผ์นด์Šค ๋ฐฉ๋ฌธ.
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4
์ง์ ‘ ์ƒ์„ฑ
์ด 12์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ฒจ๋ชจํŒ์—์„œ 5์ผ์„ ๋จธ๋ฌด๋ฅด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ ๋ฒค์ฟ ๋ฒ„์— ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ํ‚คํ† ์—์„œ 4์ผ ๋™์•ˆ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ด๋ฒ„์—์„œ๋„ 3์ผ์„ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ๊ณผ 5์ผ ์‚ฌ์ด์— ๋ด๋ฒ„์— ์žˆ๋Š” ํ›„๋ฐฐ์˜ ์ง‘์—์„œ ๋จธ๋ฌด๋ฅด๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ด๋ฒ„์™€ ๋ฒจ๋ชจํŒ, ๋ฒค์ฟ ๋ฒ„์™€ ๋ฒจ๋ชจํŒ, ํ‚คํ† ์™€ ๋ฒจํฌํŒ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 12์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฒค์ฟ ๋ฒ„ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋ฒค์ฟ ๋ฒ„์—์„œ ๋ด๋ฒ„๋กœ ๋น„ํ–‰. 3-5์ผ์ฐจ: 3์ผ๊ฐ„ ๋ด๋ฒ„ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ด๋ฒ„์—์„œ ๋ฒจ๋ชจํŒ์œผ๋กœ ๋น„ํ–‰. 5-9์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฒจ๋ชจํŒ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋ฒจ๋ชจํŒ์—์„œ ํ‚คํ† ๋กœ ๋น„ํ–‰. 9-12์ผ์ฐจ: 4์ผ๊ฐ„ ํ‚คํ†  ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 12 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 5 days in Belmopan. You'll visit Vancouver for 3 days. You'll spend 4 days in Quito. You'll also spend 3 days in Denver. Between the 3rd and 5th, you decided to stay at a brother's house in Denver. Here are the cities that have direct flights: Denver and Belmopan, Vancouver and Belmopan, Quito and Belpopan. Plan a trip to visit four cities in 12 days using direct flights.
Days 1-3: Visit Vancouver for 3 days. Day 3: Fly from Vancouver to Denver. Days 3-5: Visit Denver for 3 days. Day 5: Fly from Denver to Belmopan. Days 5-9: Visit Belmopan for 5 days. Day 9: Fly from Belmopan to Quito. Days 9-12: Visit Quito for 4 days.
๋ณ€์ˆ˜ ์ •์˜: B: ๋ฒจ๋ชจํŒ, V: ๋ฒค์ฟ ๋ฒ„, Q: ํ‚คํ† , D: ๋ด๋ฒ„ a_B: ๋ฒจ๋ชจํŒ ๋„์ฐฉ์ผ, d_B: ๋ฒจ๋ชจํŒ ์ถœ๋ฐœ์ผ a_V: ๋ฒค์ฟ ๋ฒ„ ๋„์ฐฉ์ผ, d_V: ๋ฒค์ฟ ๋ฒ„ ์ถœ๋ฐœ์ผ a_Q: ํ‚คํ†  ๋„์ฐฉ์ผ, d_Q: ํ‚คํ†  ์ถœ๋ฐœ์ผ a_D: ๋ด๋ฒ„ ๋„์ฐฉ์ผ, d_D: ๋ด๋ฒ„ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_B - a_B + 1 = 5 d_V - a_V + 1 = 3 d_Q - a_Q + 1 = 4 d_D - a_D + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_B, d_V, d_Q, d_D) - min(a_B, a_V, a_Q, a_D) + 1 = 12 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [3, 5] โˆฉ [a_D, d_D] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (D โ†” B), (V โ†” B), (Q โ†” B) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฒค์ฟ ๋ฒ„ ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋ฒค์ฟ ๋ฒ„์—์„œ ๋ด๋ฒ„๋กœ ๋น„ํ–‰. 3-5์ผ์ฐจ: 3์ผ๊ฐ„ ๋ด๋ฒ„ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ด๋ฒ„์—์„œ ๋ฒจ๋ชจํŒ์œผ๋กœ ๋น„ํ–‰. 5-9์ผ์ฐจ: 5์ผ๊ฐ„ ๋ฒจ๋ชจํŒ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ๋ฒจ๋ชจํŒ์—์„œ ํ‚คํ† ๋กœ ๋น„ํ–‰. 9-12์ผ์ฐจ: 4์ผ๊ฐ„ ํ‚คํ†  ๋ฐฉ๋ฌธ.
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4
์ง์ ‘ ์ƒ์„ฑ
์ด 15์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์—์„œ 2์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ์ƒํŒŒ์šธ๋ฃจ๋ฅผ ๋ฐฉ๋ฌธํ•  ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 10์ผ๊ณผ 14์ผ ์‚ฌ์ด์— ์ƒํŒŒ์šธ๋ฃจ ๋ฏธ์ˆ ๊ด€ ๋ฐ ๋ฐ•๋ฌผ๊ด€ ํˆฌ์–ด๋ฅผ ๋‹ค๋…€์˜ฌ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ์•„์ˆœ์‹œ์˜จ์—์„œ ์—ฌํ–‰์„ ํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ๋Š” 4์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด์™€ ๋ชฌํ…Œ๋น„๋ฐ์˜ค, ๋ชฌํ…Œ๋น„๋ฐ์˜ค์™€ ์•„์ˆœ์‹œ์˜จ, ์ƒํŒŒ์šธ๋ฃจ์™€ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด, ์•„์ˆœ์‹œ์˜จ๊ณผ ์ƒํŒŒ์šธ๋ฃจ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 15์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ ์•„์ˆœ์‹œ์˜จ์œผ๋กœ ๋น„ํ–‰. 4-10์ผ์ฐจ: 7์ผ๊ฐ„ ์•„์ˆœ์‹œ์˜จ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์•„์ˆœ์‹œ์˜จ์—์„œ ์ƒํŒŒ์šธ๋ฃจ๋กœ ๋น„ํ–‰. 10-14์ผ์ฐจ: 5์ผ๊ฐ„ ์ƒํŒŒ์šธ๋ฃจ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ์ƒํŒŒ์šธ๋ฃจ์—์„œ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด๋กœ ๋น„ํ–‰. 14-15์ผ์ฐจ: 2์ผ๊ฐ„ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 15 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 2 days in Paramaribo. You'll visit Sรฃo Paulo for 5 days. Between days 10 and 14, you'll take a tour of Sรฃo Paulo's art galleries and museums. You'll spend 7 days in Asuncion. You want to spend 4 days in Montevideo. Here are the cities that have direct flights: Paramaribo and Montevideo, Montevideo and Asuncion, Sรฃo Paulo and Paramaribo, Asuncion and Sรฃo Paulo. Plan a trip to visit four cities in 15 days using direct flights.
Days 1-4: Visit Montevideo for 4 days. Day 4: Fly from Montevideo to Asuncion. Days 4-10: Visit Asuncion for 7 days. Day 10: Fly from Asuncion to Sรฃo Paulo. Days 10-14: Visit Sรฃo Paulo for 5 days. Day 14: Fly from Sรฃo Paulo to Paramaribo. Days 14-15: Visit Paramaribo for 2 days.
๋ณ€์ˆ˜ ์ •์˜: P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด, S: ์ƒํŒŒ์šธ๋ฃจ, A: ์•„์ˆœ์‹œ์˜จ, M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค a_P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋„์ฐฉ์ผ, d_P: ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ์ถœ๋ฐœ์ผ a_S: ์ƒํŒŒ์šธ๋ฃจ ๋„์ฐฉ์ผ, d_S: ์ƒํŒŒ์šธ๋ฃจ ์ถœ๋ฐœ์ผ a_A: ์•„์ˆœ์‹œ์˜จ ๋„์ฐฉ์ผ, d_A: ์•„์ˆœ์‹œ์˜จ ์ถœ๋ฐœ์ผ a_M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋„์ฐฉ์ผ, d_M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_P - a_P + 1 = 2 d_S - a_S + 1 = 5 d_A - a_A + 1 = 7 d_M - a_M + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_P, d_S, d_A, d_M) - min(a_P, a_S, a_A, a_M) + 1 = 15 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [10, 14] โˆฉ [a_S, d_S] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (P โ†” M), (M โ†” A), (S โ†” P), (A โ†” S) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ ์•„์ˆœ์‹œ์˜จ์œผ๋กœ ๋น„ํ–‰. 4-10์ผ์ฐจ: 7์ผ๊ฐ„ ์•„์ˆœ์‹œ์˜จ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์•„์ˆœ์‹œ์˜จ์—์„œ ์ƒํŒŒ์šธ๋ฃจ๋กœ ๋น„ํ–‰. 10-14์ผ์ฐจ: 5์ผ๊ฐ„ ์ƒํŒŒ์šธ๋ฃจ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ์ƒํŒŒ์šธ๋ฃจ์—์„œ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด๋กœ ๋น„ํ–‰. 14-15์ผ์ฐจ: 2์ผ๊ฐ„ ํŒŒ๋ผ๋งˆ๋ฆฌ๋ณด ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 15์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์•„๋ฐ”๋‚˜์—์„œ 6์ผ๊ฐ„ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์• ํ‹€๋ž€ํƒ€์—์„œ๋Š” 7์ผ๊ฐ„ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ์บ์ŠคํŠธ๋ฆฌ์Šค๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ํ‚น์Šคํ†ค์—์„œ 2์ผ ๋™์•ˆ ๋จธ๋ฌด๋ฅด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 3์ผ๊ณผ 4์ผ ์‚ฌ์ด์— ํ‚น์Šคํ†ค์—์„œ ๋™์ƒ์„ ๋งŒ๋‚˜ ์ €๋…์„ ๋จน๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์•„๋ฐ”๋‚˜์™€ ํ‚น์Šคํ†ค, ์บ์ŠคํŠธ๋ฆฌ์Šค์™€ ์•„๋ฐ”๋‚˜, ์• ํ‹€๋ž€ํƒ€์™€ ์•„๋ฐ”๋‚˜, ํ‚น์Šคํ†ค๊ณผ ์บ์ŠคํŠธ๋ฆฌ์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 15์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์บ์ŠคํŠธ๋ฆฌ์Šค ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์บ์ŠคํŠธ๋ฆฌ์Šค์—์„œ ํ‚น์Šคํ†ค์œผ๋กœ ๋น„ํ–‰. 3-4์ผ์ฐจ: 2์ผ๊ฐ„ ํ‚น์Šคํ†ค ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํ‚น์Šคํ†ค์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 4-9์ผ์ฐจ: 6์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์•„๋ฐ”๋‚˜์—์„œ ์• ํ‹€๋ž€ํƒ€๋กœ ๋น„ํ–‰. 9-15์ผ์ฐจ: 7์ผ๊ฐ„ ์• ํ‹€๋ž€ํƒ€ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 15 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 6 days in Havana. You'll spend 7 days in Atlanta. You'll be visiting Castries for 3 days. You want to spend 2 days in Kingston. You want to meet your brother for dinner in Kingston between days 3 and 4. Here are the cities that have direct flights: Havana and Kingston, Castries and Havana, Atlanta and Havana, Kingston and Castries. Plan a trip to visit four cities in 15 days using direct flights.
Days 1-3: Visit Castries for 3 days. Day 3: Fly from Castries to Kingston. Days 3-4: Visit Kingston for 2 days. Day 4: Fly from Kingston to Havana. Days 4-9: Visit Havana for 6 days. Day 9: Fly from Havana to Atlanta. Days 9-15: Visit Atlanta for 7 days.
๋ณ€์ˆ˜ ์ •์˜: H: ์•„๋ฐ”๋‚˜, A: ์• ํ‹€๋ž€ํƒ€, C: ์บ์ŠคํŠธ๋ฆฌ์Šค, K: ํ‚น์Šคํ†ค a_H: ์•„๋ฐ”๋‚˜ ๋„์ฐฉ์ผ, d_H: ์•„๋ฐ”๋‚˜ ์ถœ๋ฐœ์ผ a_A: ์• ํ‹€๋ž€ํƒ€ ๋„์ฐฉ์ผ, d_A: ์• ํ‹€๋ž€ํƒ€ ์ถœ๋ฐœ์ผ a_C: ์บ์ŠคํŠธ๋ฆฌ์Šค ๋„์ฐฉ์ผ, d_C: ์บ์ŠคํŠธ๋ฆฌ์Šค ์ถœ๋ฐœ์ผ a_K: ํ‚น์Šคํ†ค ๋„์ฐฉ์ผ, d_K: ํ‚น์Šคํ†ค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_H - a_H + 1 = 6 d_A - a_A + 1 = 7 d_C - a_C + 1 = 3 d_K - a_K + 1 = 2 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_H, d_A, d_C, d_K) - min(a_H, a_A, a_C, a_K) + 1 = 15 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: {3, 4} โˆฉ [a_K, d_K] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (H โ†” K), (C โ†” H), (A โ†” H), (K โ†” C) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์บ์ŠคํŠธ๋ฆฌ์Šค ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์บ์ŠคํŠธ๋ฆฌ์Šค์—์„œ ํ‚น์Šคํ†ค์œผ๋กœ ๋น„ํ–‰. 3-4์ผ์ฐจ: 2์ผ๊ฐ„ ํ‚น์Šคํ†ค ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ํ‚น์Šคํ†ค์—์„œ ์•„๋ฐ”๋‚˜๋กœ ๋น„ํ–‰. 4-9์ผ์ฐจ: 6์ผ๊ฐ„ ์•„๋ฐ”๋‚˜ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์•„๋ฐ”๋‚˜์—์„œ ์• ํ‹€๋ž€ํƒ€๋กœ ๋น„ํ–‰. 9-15์ผ์ฐจ: 7์ผ๊ฐ„ ์• ํ‹€๋ž€ํƒ€ ๋ฐฉ๋ฌธ.
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4
์ง์ ‘ ์ƒ์„ฑ
์ด 15์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 4๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ์˜คํƒ€์™€๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ์‹œ์นด๊ณ ์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์—ฌํ–‰ 10์ผ๊ณผ 11์ผ ์‚ฌ์ด์— ์‹œ์นด๊ณ ์— ์žˆ๋Š” ์œ ๋ช…ํ•œ ํ”ผ์ž์ง‘์— ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 3์ผ๊ฐ„์€ ์œ„๋‹ˆํŽ™์„ ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ํ•„๋ผ๋ธํ”ผ์•„์—์„œ๋Š” 5์ผ์„ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ํ•„๋ผ๋ธํ”ผ์•„๊ฐ€ ์ฒซ๋ฒˆ์งธ ์—ฌ์ •์ง€์˜€์œผ๋ฉด ์ข‹๊ฒ ์Šต๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํ•„๋ผ๋ธํ”ผ์•„์™€ ์˜คํƒ€์™€, ์‹œ์นด๊ณ ์™€ ์˜คํƒ€์™€, ์‹œ์นด๊ณ ์™€ ํ•„๋ผ๋ธํ”ผ์•„, ์œ„๋‹ˆํŽ™๊ณผ ์‹œ์นด๊ณ , ์˜คํƒ€์™€์™€ ์œ„๋‹ˆํŽ™. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 15์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ํ•„๋ผ๋ธํ”ผ์•„ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ํ•„๋ผํ…”ํ”ผ์•„์—์„œ ์˜คํƒ€์™€๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ: 6์ผ๊ฐ„ ์˜คํƒ€์™€ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์˜คํƒ€์™€์—์„œ ์‹œ์นด๊ณ ๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ์‹œ์นด๊ณ  ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ์‹œ์นด๊ณ ์—์„œ ์œ„๋‹ˆํŽ™์œผ๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ์œ„๋‹ˆํŽ™ ๋ฐฉ๋ฌธ.
You plan to visit 4 cities in the Americas for a total of 15 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will be in Ottawa for 6 days. You will be in Chicago for 4 days. You want to visit a famous pizzeria in Chicago between days 10 and 11 of your trip. You will be in Winnipeg for 3 days. You'll spend 5 days in Philadelphia, and you'd like it to be your first stop. Here are the cities that have direct flights: Philadelphia and Ottawa, Chicago and Ottawa, Chicago and Philadelphia, Winnipeg and Chicago, Ottawa and Winnipeg. Plan a trip to visit four cities in 15 days using direct flights.
Days 1-5: Visit Philadelphia for 5 days. Day 5: Fly from Philadelphia to Ottawa. Days 5-10: Visit Ottawa for 6 days. Day 10: Fly from Ottawa to Chicago. Days 10-13: Visit Chicago for 4 days. Day 13: Fly from Chicago to Winnipeg. Days 13-15: Visit Winnipeg for 3 days.
๋ณ€์ˆ˜ ์ •์˜: O: ์˜คํƒ€์™€, C: ์‹œ์นด๊ณ , W: ์œ„๋‹ˆํŽ™, P: ํ•„๋ผ๋ธํ”ผ์•„ a_O: ์˜คํƒ€์™€ ๋„์ฐฉ์ผ, d_O: ์˜คํƒ€์™€ ์ถœ๋ฐœ์ผ a_C: ์‹œ์นด๊ณ  ๋„์ฐฉ์ผ, d_C: ์‹œ์นด๊ณ  ์ถœ๋ฐœ์ผ a_W: ์œ„๋‹ˆํŽ™ ๋„์ฐฉ์ผ, d_W: ์œ„๋‹ˆํŽ™ ์ถœ๋ฐœ์ผ a_P: ํ•„๋ผ๋ธํ”ผ์•„ ๋„์ฐฉ์ผ, d_P: ํ•„๋ผ๋ธํ”ผ์•„ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_O - a_O + 1 = 6 d_C - a_C + 1 = 4 d_W - a_W + 1 = 3 d_P - a_P + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_O, d_C, d_W, d_P) - min(a_O, a_C, a_W, a_P) + 1 = 15 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [10, 11] โˆฉ [a_C, d_C] โ‰  โˆ… a_P = 1 ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (P โ†” O), (C โ†” O), (C โ†” P), (W โ†” C), (O โ†” W) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ํ•„๋ผ๋ธํ”ผ์•„ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ํ•„๋ผํ…”ํ”ผ์•„์—์„œ ์˜คํƒ€์™€๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ: 6์ผ๊ฐ„ ์˜คํƒ€์™€ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์˜คํƒ€์™€์—์„œ ์‹œ์นด๊ณ ๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ์‹œ์นด๊ณ  ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ์‹œ์นด๊ณ ์—์„œ ์œ„๋‹ˆํŽ™์œผ๋กœ ๋น„ํ–‰. 13-15์ผ์ฐจ: 3์ผ๊ฐ„ ์œ„๋‹ˆํŽ™ ๋ฐฉ๋ฌธ.
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์•„๋ฉ”๋ฆฌ์นด
5
์ง์ ‘ ์ƒ์„ฑ
์ด 19์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์ฟ ์Šค์ฝ”์™€ ๋ผํŒŒ์ฆˆ์— ๊ฐ๊ฐ 3์ผ๊ฐ„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ๊ณผ 5์ผ ์‚ฌ์ด์— ๋ผํŒŒ์ฆˆ์—์„œ ์šฐ์œ ๋‹ˆ๋กœ ๊ฐ€๋Š” ๋ฒ„์Šค๋ฅผ ํƒ‘์Šนํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 7์ผ ๋™์•ˆ ์นธ์ฟค์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ํ‘ผํƒ€์•„๋ ˆ๋‚˜์Šค์—์„œ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ์—์„œ 6์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ์™€ ํ‘ผํƒ€์•„๋ ˆ๋‚˜์Šค, ๋ผํŒŒ์ฆˆ์™€ ์ฟ ์Šค์ฝ”, ์ฟ ์Šค์ฝ”์™€ ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ, ํ‘ผํƒ€์•„๋ ˆ๋‚˜์Šค์™€ ๋ผํŒŒ์ฆˆ, ์นธ์ฟค๊ณผ ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 18์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์ฟ ์Šค์ฝ” ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์ฟ ์Šค์ฝ”์—์„œ ๋ผํŒŒ์ฆˆ๋กœ ๋น„ํ–‰. 3-5์ผ์ฐจ: 3์ผ๊ฐ„ ๋ผํŒŒ์ฆˆ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ผํŒŒ์ฆˆ์—์„œ ํ‘ผํƒ€์•„๋ ˆ๋‚˜์Šค๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ํ‘ผํƒ€์•„๋ ˆ๋‚˜์Šค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํ‘ผํƒ€์•„๋ ˆ๋‚˜์Šค์—์„œ ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ๋กœ ๋น„ํ–‰. 8-13์ผ์ฐจ: 6์ผ๊ฐ„ ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ์—์„œ ์นธ์ฟค์œผ๋กœ ๋น„ํ–‰. 13-19์ผ์ฐจ: 7์ผ๊ฐ„ ์นธ์ฟค ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 19 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll be in Cusco and La Paz for 3 days each. Between days 3 and 5, you'll take a bus from La Paz to Uyuni. You'll spend 7 days in Cancun. You'll spend 4 days in Punta Arenas. You will spend 6 days in Rio de Janeiro. Here are the cities that have direct flights: Rio de Janeiro and Punta Arenas, La Paz and Cusco, Cusco and Rio de Janeiro, Punta Arenas and La Paz, Cancun and Rio de Janeiro. Plan a trip to visit five cities in 18 days with direct flights.
Days 1-3: Visit Cusco for 3 days. Day 3: Fly from Cusco to La Paz. Days 3-5: Visit La Paz for 3 days. Day 5: Fly from La Paz to Punta Arenas. Days 5-8: Visit Punta Arenas for 4 days. Day 8: Fly from Punta Arenas to Rio de Janeiro. Days 8-13: Visit Rio de Janeiro for 6 days. Day 13: Fly from Rio de Janeiro to Cancun. Days 13-19: Visit Cancun for 7 days.
๋ณ€์ˆ˜ ์ •์˜: C: ์ฟ ์Šค์ฝ”, L: ๋ผํŒŒ์ฆˆ, K: ์นธ์ฟค, P: ํ‘ผํƒ€์•„๋ ˆ๋‚˜์Šค, R: ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ a_C: ์ฟ ์Šค์ฝ” ๋„์ฐฉ์ผ, d_C: ์ฟ ์Šค์ฝ” ์ถœ๋ฐœ์ผ a_L: ๋ผํŒŒ์ฆˆ ๋„์ฐฉ์ผ, d_L: ๋ผํŒŒ์ฆˆ ์ถœ๋ฐœ์ผ a_K: ์นธ์ฟค ๋„์ฐฉ์ผ, d_K: ์นธ์ฟค ์ถœ๋ฐœ์ผ a_P: ํ‘ผํƒ€์•„๋ ˆ๋‚˜์Šค ๋„์ฐฉ์ผ, d_P: ํ‘ผํƒ€์•„๋ ˆ๋‚˜์Šค ์ถœ๋ฐœ์ผ a_R: ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ ๋„์ฐฉ์ผ, d_R: ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_C - a_C + 1 = 3 d_L - a_L + 1 = 3 d_K - a_K + 1 = 7 d_P - a_P + 1 = 4 d_R - a_R + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_C, d_L, d_K, d_P, d_R) - min(a_C, a_L, a_K, a_P, a_R) + 1 = 19 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [3, 5] โˆฉ [a_L, d_L] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (R โ†” P), (L โ†” C), (C โ†” R), (P โ†” L), (K โ†” R) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์ฟ ์Šค์ฝ” ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์ฟ ์Šค์ฝ”์—์„œ ๋ผํŒŒ์ฆˆ๋กœ ๋น„ํ–‰. 3-5์ผ์ฐจ: 3์ผ๊ฐ„ ๋ผํŒŒ์ฆˆ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ผํŒŒ์ฆˆ์—์„œ ํ‘ผํƒ€์•„๋ ˆ๋‚˜์Šค๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ํ‘ผํƒ€์•„๋ ˆ๋‚˜์Šค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ํ‘ผํƒ€์•„๋ ˆ๋‚˜์Šค์—์„œ ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ๋กœ ๋น„ํ–‰. 8-13์ผ์ฐจ: 6์ผ๊ฐ„ ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ๋ฆฌ์šฐ๋ฐ์ž๋„ค์ด๋ฃจ์—์„œ ์นธ์ฟค์œผ๋กœ ๋น„ํ–‰. 13-19์ผ์ฐจ: 7์ผ๊ฐ„ ์นธ์ฟค ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 21์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ผํŒŒ์ฆˆ์—์„œ 3์ผ ๋™์•ˆ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์—์„œ 4์ผ์„ ๋ณด๋‚ด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ๋ธŒ๋ผ์งˆ๋ฆฌ์•„๋ฅผ ์ฒซ๋ฒˆ์งธ๋กœ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ ๋™์•ˆ ๋ฆฌ๋งˆ์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ 5์ผ๊ฐ„ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์‚ฐํ‹ฐ์•„๊ณ ์—์„œ 7์ผ์„ ๋ณด๋‚ด๊ณ  ์‹ถ์Šต๋‹ˆ๋‹ค. 8์ผ๊ณผ 14์ผ ์‚ฌ์ด์— ์‚ฐํ‹ฐ์•„๊ณ ์—์„œ ์•Œ๋ฒ ๋ฅด๊ฒŒ๋ฅผ ์šด์˜ํ•˜๋Š” ์นœ๊ตฌ์˜ ์ง‘์—์„œ ์ˆ™์‹์„ ํ•ด๊ฒฐํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์™€ ์‚ฐํ‹ฐ์•„๊ณ , ๋ผํŒŒ์ฆˆ์™€ ๋ฆฌ๋งˆ, ์‚ฐํ‹ฐ์•„๊ณ ์™€ ๋ผํŒŒ์ฆˆ, ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์™€ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„, ์‚ฐํ‹ฐ์•„๊ณ ์™€ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค, ๋ฆฌ๋งˆ์™€ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 21์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์—์„œ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ ์‚ฐํ‹ฐ์•„๊ณ ๋กœ ๋น„ํ–‰. 8-14์ผ์ฐจ: 7์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ  ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ์‚ฐํ‹ฐ์•„๊ณ ์—์„œ ๋ผํŒŒ์ฆˆ๋กœ ๋น„ํ–‰. 14-16์ผ์ฐจ: 3์ผ๊ฐ„ ๋ผํŒŒ์ฆˆ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ๋ผํŒŒ์ฆˆ์—์„œ ๋ฆฌ๋งˆ๋กœ ๋น„ํ–‰. 16-21์ผ์ฐจ: 6์ผ๊ฐ„ ๋ฆฌ๋งˆ ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 21 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 3 days in La Paz. You'll spend 4 days in Brasilia. Brasilia will be your first stop. You'll spend 6 days in Lima. You'll spend 5 days in Buenos Aires. You want to spend 7 days in Santiago. Between the 8th and 14th, you will be staying at the home of a friend who runs an albergue in Santiago. Here are the cities that have direct flights: Brasilia and Santiago, La Paz and Lima, Santiago and La Paz, Buenos Aires and Brasilia, Santiago and Buenos Aires, Lima and Buenos Aires. Plan a trip to visit five cities in 21 days with direct flights.
Days 1-4: Visit Brasilia for 4 days. Day 4: Fly from Brasilia to Buenos Aires. Days 4-8: Visit Buenos Aires for 5 days. Day 8: Fly from Buenos Aires to Santiago. Days 8-14: Visit Santiago for 7 days. Day 14: Fly from Santiago to La Paz. Days 14-16: Visit La Paz for 3 days. Day 16: Fly from La Paz to Lima. Days 16-21: Visit Lima for 6 days.
๋ณ€์ˆ˜ ์ •์˜: L: ๋ผํŒŒ์ฆˆ, B: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„, R: ๋ฆฌ๋งˆ, A: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค, S: ์‚ฐํ‹ฐ์•„๊ณ  a_L: ๋ผํŒŒ์ฆˆ ๋„์ฐฉ์ผ, d_L: ๋ผํŒŒ์ฆˆ ์ถœ๋ฐœ์ผ a_B: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ๋„์ฐฉ์ผ, d_B: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ์ถœ๋ฐœ์ผ a_R: ๋ฆฌ๋งˆ ๋„์ฐฉ์ผ, d_R: ๋ฆฌ๋งˆ ์ถœ๋ฐœ์ผ a_A: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋„์ฐฉ์ผ, d_A: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ์ถœ๋ฐœ์ผ a_S: ์‚ฐํ‹ฐ์•„๊ณ  ๋„์ฐฉ์ผ, d_S: ์‚ฐํ‹ฐ์•„๊ณ  ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_L - a_L + 1 = 3 d_B - a_B + 1 = 4 d_R - a_R + 1 = 6 d_A - a_A + 1 = 5 d_S - a_S + 1 = 7 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_L, d_B, d_R, d_A, d_S) - min(a_L, a_B, a_R, a_A, a_S) + 1 = 21 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_B = 1 [8, 14] โˆฉ [a_S, d_S] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (B โ†” S), (L โ†” R), (S โ†” L), (A โ†” B), (S โ†” A), (R โ†” A) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ธŒ๋ผ์งˆ๋ฆฌ์•„ ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ธŒ๋ผ์งˆ๋ฆฌ์•„์—์„œ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ ์‚ฐํ‹ฐ์•„๊ณ ๋กœ ๋น„ํ–‰. 8-14์ผ์ฐจ: 7์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ  ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ์‚ฐํ‹ฐ์•„๊ณ ์—์„œ ๋ผํŒŒ์ฆˆ๋กœ ๋น„ํ–‰. 14-16์ผ์ฐจ: 3์ผ๊ฐ„ ๋ผํŒŒ์ฆˆ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ๋ผํŒŒ์ฆˆ์—์„œ ๋ฆฌ๋งˆ๋กœ ๋น„ํ–‰. 16-21์ผ์ฐจ: 6์ผ๊ฐ„ ๋ฆฌ๋งˆ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 17์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ์‚ฐํŽ˜๋“œ๋กœ๋ฐ๋งˆ์ฝ”๋ฆฌ์Šค๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 2์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ 3์ผ์„ ๋จธ๋ฌด๋ฅด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 6์ผ๊ณผ 7์ผ ์‚ฌ์ด์— ์„ธ์ธํŠธ์กฐ์ง€์Šค์— ์‚ฌ๋Š” ๋ˆ„๋‚˜๋ฅผ ์˜ค๋žœ๋งŒ์— ๋งŒ๋‚˜๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ๋งˆ์„ธ์ด์˜ค์—์„œ 7์ผ์„ ๋จธ๋ฌด๋ฅด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 10์ผ๊ณผ 16์ผ ์‚ฌ์ด์— ๋งˆ์„ธ์ด์˜ค์—์„œ ์ˆ˜์ค‘ ์•กํ‹ฐ๋น„ํ‹ฐ๋ฅผ ์ฆ๊ธธ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ์นด๋ผ์นด์Šค์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์„ธ์ธํŠธ์กฐ์ง€์Šค์™€ ๋งˆ์„ธ์ด์˜ค, ์„ธ์ธํŠธ์กฐ์ง€์Šค์™€ ์นด๋ผ์นด์Šค, ์นด๋ผ์นด์Šค์™€ ๋งˆ์„ธ์ด์˜ค, ์นด๋ผ์นด์Šค์™€ ๋ชฌํ…Œ๋น„๋ฐ์˜ค, ์‚ฐํŽ˜๋“œ๋กœ๋ฐ๋งˆ์ฝ”๋ฆฌ์Šค์™€ ์„ธ์ธํŠธ์กฐ์ง€์Šค, ์‚ฐํŽ˜๋“œ๋กœ๋ฐ๋งˆ์ฝ”๋ฆฌ์Šค์™€ ์นด๋ผ์นด์Šค, ๋งˆ์„ธ์ด์˜ค์™€ ๋ชฌํ…Œ๋น„๋ฐ์˜ค, ๋งˆ์„ธ์ด์˜ค์™€ ์‚ฐํŽ˜๋“œ๋กœ๋ฐ๋งˆ์ฝ”๋ฆฌ์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 17์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ์‚ฐํŽ˜๋“œ๋กœ๋ฐ๋งˆ์ฝ”๋ฆฌ์Šค ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์‚ฐํŽ˜๋“œ๋กœ๋ฐ๋งˆ์ฝ”๋ฆฌ์Šค์—์„œ ์„ธ์ธํŠธ์กฐ์ง€์Šค๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ ์นด๋ผ์นด์Šค๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ์นด๋ผ์นด์Šค ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์นด๋ผ์นด์Šค์—์„œ ๋งˆ์„ธ์ด์˜ค๋กœ ๋น„ํ–‰. 10-16์ผ์ฐจ: 7์ผ๊ฐ„ ๋งˆ์„ธ์ด์˜ค ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ๋งˆ์„ธ์ด์˜ค์—์„œ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋กœ ๋น„ํ–‰. 16-17์ผ์ฐจ: 2์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 17 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You will visit San Pedro de Macoris for 5 days. You'll visit Montevideo for 2 days. You'll spend 3 days in St. George's. Between the 6th and 7th, you are planning to meet your sister, who lives in St. George's, after a long time. You plan to spend 7 days in Maceio. Between the 10th and 16th, you'll enjoy water activities in Maceio. You'll spend 4 days in Caracas. Here are the cities that have direct flights: St. George's and Maceio, St. George's and Caracas, Caracas and Maceio, Caracas and Montevideo, San Pedro de Macoris and St. George's, San Pedro de Macoris and Caracas, Maceio and Montevideo, Maceio and San Pedro de Macoris. Plan a trip to visit five cities in 17 days with direct flights.
Days 1-5: Visit San Pedro de Macoris for 5 days. Day 5: Fly from San Pedro de Macoris to St. George's. Days 5-7: Visit St. George's for 3 days. Day 7: Fly from St. George's to Caracas. Days 7-10: Visit Caracas for 4 days. Day 10: Fly from Caracas to Maceio. Days 10-16: Visit Maceio for 7 days. Day 16: Fly from Maceio to Montevideo. Days 16-17: Visit Montevideo for 2 days.
๋ณ€์ˆ˜ ์ •์˜: S: ์‚ฐํŽ˜๋“œ๋กœ๋ฐ๋งˆ์ฝ”๋ฆฌ์Šค, M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค, G: ์„ธ์ธํŠธ์กฐ์ง€์Šค, A: ๋งˆ์„ธ์ด์˜ค, C: ์นด๋ผ์นด์Šค a_S: ์‚ฐํŽ˜๋“œ๋กœ๋ฐ๋งˆ์ฝ”๋ฆฌ์Šค ๋„์ฐฉ์ผ, d_S: ์‚ฐํŽ˜๋“œ๋กœ๋ฐ๋งˆ์ฝ”๋ฆฌ์Šค ์ถœ๋ฐœ์ผ a_M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋„์ฐฉ์ผ, d_M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค ์ถœ๋ฐœ์ผ a_G: ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋„์ฐฉ์ผ, d_G: ์„ธ์ธํŠธ์กฐ์ง€์Šค ์ถœ๋ฐœ์ผ a_A: ๋งˆ์„ธ์ด์˜ค ๋„์ฐฉ์ผ, d_A: ๋งˆ์„ธ์ด์˜ค ์ถœ๋ฐœ์ผ a_C: ์นด๋ผ์นด์Šค ๋„์ฐฉ์ผ, d_C: ์นด๋ผ์นด์Šค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_S - a_S + 1 = 5 d_M - a_M + 1 = 2 d_G - a_G + 1 = 3 d_A - a_A + 1 = 7 d_C - a_C + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_S, d_M, d_G, d_A, d_C) - min(a_S, a_M, a_G, a_A, a_C) + 1 = 17 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [6, 7] โˆฉ [a_G, d_G] โ‰  โˆ… [10, 16] โˆฉ [a_A, d_A] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (G โ†” A), (G โ†” C), (C โ†” A), (C โ†” M), (S โ†” G), (S โ†” C), (A โ†” M), (A โ†” S) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ์‚ฐํŽ˜๋“œ๋กœ๋ฐ๋งˆ์ฝ”๋ฆฌ์Šค ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์‚ฐํŽ˜๋“œ๋กœ๋ฐ๋งˆ์ฝ”๋ฆฌ์Šค์—์„œ ์„ธ์ธํŠธ์กฐ์ง€์Šค๋กœ ๋น„ํ–‰. 5-7์ผ์ฐจ: 3์ผ๊ฐ„ ์„ธ์ธํŠธ์กฐ์ง€์Šค ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ์„ธ์ธํŠธ์กฐ์ง€์Šค์—์„œ ์นด๋ผ์นด์Šค๋กœ ๋น„ํ–‰. 7-10์ผ์ฐจ: 4์ผ๊ฐ„ ์นด๋ผ์นด์Šค ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์นด๋ผ์นด์Šค์—์„œ ๋งˆ์„ธ์ด์˜ค๋กœ ๋น„ํ–‰. 10-16์ผ์ฐจ: 7์ผ๊ฐ„ ๋งˆ์„ธ์ด์˜ค ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ๋งˆ์„ธ์ด์˜ค์—์„œ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋กœ ๋น„ํ–‰. 16-17์ผ์ฐจ: 2์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋ฐฉ๋ฌธ.
196
์•„๋ฉ”๋ฆฌ์นด
5
์ง์ ‘ ์ƒ์„ฑ
์ด 21์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 5๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 6์ผ๊ฐ„ ์—๋“œ๋จผํ„ด์—์„œ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋กœ์Šค์•ค์ ค๋ ˆ์Šค์—์„œ 7์ผ๊ฐ„ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ํ˜ธ๋†€๋ฃฐ๋ฃจ์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ์ฐจ์— ํ˜ธ๋†€๋ฃฐ๋ฃจ์— ์žˆ๋Š” ์œ ๋ช…ํ•œ ๋ ˆ์Šคํ† ๋ž‘์„ ๋ฏธ๋ฆฌ ์˜ˆ์•ฝํ•ด๋‘์—ˆ์Šต๋‹ˆ๋‹ค. 3์ผ๊ฐ„ ๋ฉ•์‹œ์นผ๋ฆฌ์—์„œ ๋จธ๋ฌด๋ฅด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ์—์„œ 5์ผ ๋™์•ˆ ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฉ•์‹œ์นผ๋ฆฌ์™€ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ, ๋กœ์Šค์•ค์ ค๋ ˆ์Šค์™€ ๋ฉ•์‹œ์นผ๋ฆฌ, ํ˜ธ๋†€๋ฃฐ๋ฃจ์™€ ์—๋“œ๋จผํ„ด, ๋กœ์Šค์•ค์ ค๋ ˆ์Šค์™€ ํ˜ธ๋†€๋ฃฐ๋ฃจ. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 21์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ์—๋“œ๋จผํ„ด ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์—๋“œ๋จผํ„ด์—์„œ ํ˜ธ๋†€๋ฃฐ๋ฃจ๋กœ ๋น„ํ–‰. 6-9์ผ์ฐจ: 4์ผ๊ฐ„ ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ํ˜ธ๋†€๋ฃฐ๋ฃจ์—์„œ ๋กœ์Šค์•ค์ ค๋ ˆ์Šค๋กœ ๋น„ํ–‰. 9-15์ผ์ฐจ: 7์ผ๊ฐ„ ๋กœ์Šค์•ค์ ค๋ ˆ์Šค ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋กœ์Šค์•ค์ ค๋ ˆ์Šค์—์„œ ๋ฉ•์‹œ์นผ๋ฆฌ๋กœ ๋น„ํ–‰. 15-17์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฉ•์‹œ์นผ๋ฆฌ ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ๋ฉ•์‹œ์นผ๋ฆฌ์—์„œ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 17-21์ผ์ฐจ: 5์ผ๊ฐ„ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ ๋ฐฉ๋ฌธ.
You plan to visit 5 cities in the Americas for a total of 21 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 6 days in Edmonton. You'll spend 7 days in Los Angeles. You'll spend 4 days in Honolulu. You've made reservations for a famous restaurant in Honolulu on Day 6. You'll spend 3 days in Mexicali. You'll spend 5 days in Guatemala City. Here are the cities that have direct flights: Mexicali and Guatemala City, Los Angeles and Mexicali, Honolulu and Edmonton, Los Angeles and Honolulu. Plan a trip to visit five cities in 21 days with direct flights.
Days 1-6: Visit Edmonton for 6 days. Day 6: Fly from Edmonton to Honolulu. Days 6-9: Visit Honolulu for 4 days. Day 9: Fly from Honolulu to Los Angeles. Days 9-15: Visit Los Angeles for 7 days. Day 15: Fly from Los Angeles to Mexicali. Days 15-17: Visit Mexicali for 3 days. Day 17: Fly from Mexicali to Guatemala City. Days 17-21: Visit Guatemala City for 5 days.
๋ณ€์ˆ˜ ์ •์˜: E: ์—๋“œ๋จผํ„ด, L: ๋กœ์Šค์•ค์ ค๋ ˆ์Šค, H: ํ˜ธ๋†€๋ฃฐ๋ฃจ, M: ๋ฉ•์‹œ์นผ๋ฆฌ, G: ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ a_E: ์—๋“œ๋จผํ„ด ๋„์ฐฉ์ผ, d_E: ์—๋“œ๋จผํ„ด ์ถœ๋ฐœ์ผ a_L: ๋กœ์Šค์•ค์ ค๋ ˆ์Šค ๋„์ฐฉ์ผ, d_L: ๋กœ์Šค์•ค์ ค๋ ˆ์Šค ์ถœ๋ฐœ์ผ a_H: ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋„์ฐฉ์ผ, d_H: ํ˜ธ๋†€๋ฃฐ๋ฃจ ์ถœ๋ฐœ์ผ a_M: ๋ฉ•์‹œ์นผ๋ฆฌ ๋„์ฐฉ์ผ, d_M: ๋ฉ•์‹œ์นผ๋ฆฌ ์ถœ๋ฐœ์ผ a_G: ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ ๋„์ฐฉ์ผ, d_G: ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_E - a_E + 1 = 6 d_L - a_L + 1 = 7 d_H - a_H + 1 = 4 d_M - a_M + 1 = 3 d_G - a_G + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_E, d_L, d_H, d_M, d_G) - min(a_E, a_L, a_H, a_M, a_G) + 1 = 21 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_H โ‰ค 6 โ‰ค d_H ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (M โ†” G), (L โ†” M), (H โ†” E), (L โ†” H) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ์—๋“œ๋จผํ„ด ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์—๋“œ๋จผํ„ด์—์„œ ํ˜ธ๋†€๋ฃฐ๋ฃจ๋กœ ๋น„ํ–‰. 6-9์ผ์ฐจ: 4์ผ๊ฐ„ ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ํ˜ธ๋†€๋ฃฐ๋ฃจ์—์„œ ๋กœ์Šค์•ค์ ค๋ ˆ์Šค๋กœ ๋น„ํ–‰. 9-15์ผ์ฐจ: 7์ผ๊ฐ„ ๋กœ์Šค์•ค์ ค๋ ˆ์Šค ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋กœ์Šค์•ค์ ค๋ ˆ์Šค์—์„œ ๋ฉ•์‹œ์นผ๋ฆฌ๋กœ ๋น„ํ–‰. 15-17์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฉ•์‹œ์นผ๋ฆฌ ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ๋ฉ•์‹œ์นผ๋ฆฌ์—์„œ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 17-21์ผ์ฐจ: 5์ผ๊ฐ„ ๊ณผํ…Œ๋ง๋ผ์‹œํ‹ฐ ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 22์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ํ€˜๋ฒก์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 7์ผ ๋™์•ˆ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 2์ผ ๋™์•ˆ ์กฐ์ง€ํƒ€์šด์—์„œ ๋จธ๋ฌผ๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์กฐ์ง€ํƒ€์šด์ด 4๋ฒˆ์งธ ์—ฌ์ •์ง€์˜€์œผ๋ฉด ์ข‹๊ฒ ์Šต๋‹ˆ๋‹ค. 5์ผ ๋™์•ˆ ๋ผํ”Œ๋ผํƒ€์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ๊ณผ 6์ผ ์‚ฌ์ด์— ๋ผํ”Œ๋ผํƒ€์—์„œ ์ง„ํ–‰ํ•˜๋Š” ํ•™ํšŒ์— ์ฐธ์„ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์ƒํŒŒ์šธ๋ฃจ์—์„œ๋Š” 6์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์‚ฐํ‹ฐ์•„๊ณ ์—์„œ 3์ผ์„ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์‚ฐํ‹ฐ์•„๊ณ ์™€ ์กฐ์ง€ํƒ€์šด, ์‚ฐํ‹ฐ์•„๊ณ ์™€ ์ƒํŒŒ์šธ๋ฃจ, ์ƒํŒŒ์šธ๋ฃจ์™€ ๋ผํ”Œ๋ผํƒ€, ์กฐ์ง€ํƒ€์šด๊ณผ ์ƒํŒŒ์šธ๋ฃจ, ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค์™€ ์กฐ์ง€ํƒ€์šด, ํ€˜๋ฒก๊ณผ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค, ํ€˜๋ฒก๊ณผ ๋ผํ”Œ๋ผํƒ€, ๋ผํ”Œ๋ผํƒ€์™€ ์‚ฐํ‹ฐ์•„๊ณ . ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 22์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ  ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์‚ฐํ‹ฐ์•„๊ณ ์—์„œ ๋ผํ”Œ๋ผํƒ€๋กœ ๋น„ํ–‰. 3-7์ผ์ฐจ: 5์ผ๊ฐ„ ๋ผํ”Œ๋ผํƒ€ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋ผํ”Œ๋ผํƒ€์—์„œ ์ƒํŒŒ์šธ๋ฃจ๋กœ ๋น„ํ–‰. 7-12์ผ์ฐจ: 6์ผ๊ฐ„ ์ƒํŒŒ์šธ๋ฃจ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋ผํ”Œ๋ผํƒ€์—์„œ ์กฐ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 12-13์ผ์ฐจ: 2์ผ๊ฐ„ ์กฐ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ์กฐ์ง€ํƒ€์šด์—์„œ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค๋กœ ๋น„ํ–‰. 13-19์ผ์ฐจ: 7์ผ๊ฐ„ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค ๋ฐฉ๋ฌธ. 19์ผ์ฐจ: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค์—์„œ ํ€˜๋ฒก์œผ๋กœ ๋น„ํ–‰. 19-22์ผ์ฐจ: 4์ผ๊ฐ„ ํ€˜๋ฒก ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 22 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 4 days in Quebec. You'll visit New Orleans for 7 days. You plan to spend 2 days in Georgetown. You would like Georgetown to be your 4th stop. You will be in La Plata for 5 days. You will attend a conference in La Plata between the 3rd and 6th. You will spend 6 days in Sรฃo Paulo. You will spend 3 days in Santiago. Here are the cities that have direct flights: Santiago and Georgetown, Santiago and Sรฃo Paulo, Sรฃo Paulo and La Plata, Georgetown and Sรฃo Paulo, New Orleans and Georgetown, Quebec and New Orleans, Quebec and La Plata, La Plata and Santiago. Plan a trip to visit six cities in 22 days with direct flights.
Days 1-3: Visit Santiago for 3 days. Day 3: Fly from Santiago to La Plata. Days 3-7: Visit La Plata for 5 days. Day 7: Fly from La Plata to Sรฃo Paulo. Days 7-12: Visit Sรฃo Paulo for 6 days. Day 12: Fly from La Plata to Georgetown. Days 12-13: Visit Georgetown for 2 days. Day 13: Fly from Georgetown to New Orleans. Days 13-19: Visit New Orleans for 7 days. Day 19: Fly from New Orleans to Quebec City. Days 19-22: Visit Quebec City for 4 days.
๋ณ€์ˆ˜ ์ •์˜: Q: ํ€˜๋ฒก, N: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค, G: ์กฐ์ง€ํƒ€์šด, L: ๋ผํ”Œ๋ผํƒ€, S: ์ƒํŒŒ์šธ๋ฃจ, C: ์‚ฐํ‹ฐ์•„๊ณ  a_Q: ํ€˜๋ฒก ๋„์ฐฉ์ผ, d_Q: ํ€˜๋ฒก ์ถœ๋ฐœ์ผ a_N: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค ๋„์ฐฉ์ผ, d_N: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค ์ถœ๋ฐœ์ผ a_G: ์กฐ์ง€ํƒ€์šด ๋„์ฐฉ์ผ, d_G: ์กฐ์ง€ํƒ€์šด ์ถœ๋ฐœ์ผ a_L: ๋ผํ”Œ๋ผํƒ€ ๋„์ฐฉ์ผ, d_L: ๋ผํ”Œ๋ผํƒ€ ์ถœ๋ฐœ์ผ a_S: ์ƒํŒŒ์šธ๋ฃจ ๋„์ฐฉ์ผ, d_S: ์ƒํŒŒ์šธ๋ฃจ ์ถœ๋ฐœ์ผ a_C: ์‚ฐํ‹ฐ์•„๊ณ  ๋„์ฐฉ์ผ, d_C: ์‚ฐํ‹ฐ์•„๊ณ  ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_Q - a_Q + 1 = 4 d_N - a_N + 1 = 7 d_G - a_G + 1 = 2 d_L - a_L + 1 = 5 d_S - a_S + 1 = 6 d_C - a_C + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_Q, d_N, d_G, d_L, d_S, d_C) - min(a_Q, a_N, a_G, a_L, a_S, a_C) + 1 = 22 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_G = min(a_Q, a_N, a_L, a_S, a_C) + 3 [3, 6] โˆฉ [a_L, d_L] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (C โ†” G), (C โ†” S), (S โ†” L), (G โ†” S), (N โ†” G), (Q โ†” N), (Q โ†” L), (L โ†” C) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ  ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ์‚ฐํ‹ฐ์•„๊ณ ์—์„œ ๋ผํ”Œ๋ผํƒ€๋กœ ๋น„ํ–‰. 3-7์ผ์ฐจ: 5์ผ๊ฐ„ ๋ผํ”Œ๋ผํƒ€ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋ผํ”Œ๋ผํƒ€์—์„œ ์ƒํŒŒ์šธ๋ฃจ๋กœ ๋น„ํ–‰. 7-12์ผ์ฐจ: 6์ผ๊ฐ„ ์ƒํŒŒ์šธ๋ฃจ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋ผํ”Œ๋ผํƒ€์—์„œ ์กฐ์ง€ํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 12-13์ผ์ฐจ: 2์ผ๊ฐ„ ์กฐ์ง€ํƒ€์šด ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ์กฐ์ง€ํƒ€์šด์—์„œ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค๋กœ ๋น„ํ–‰. 13-19์ผ์ฐจ: 7์ผ๊ฐ„ ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค ๋ฐฉ๋ฌธ. 19์ผ์ฐจ: ๋‰ด์˜ฌ๋ฆฌ์–ธ์Šค์—์„œ ํ€˜๋ฒก์œผ๋กœ ๋น„ํ–‰. 19-22์ผ์ฐจ: 4์ผ๊ฐ„ ํ€˜๋ฒก ๋ฐฉ๋ฌธ.
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์ง์ ‘ ์ƒ์„ฑ
์ด 22์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด์™€ ์ฝ”๋ฅด๋„๋ฐ”์— ๊ฐ๊ฐ 4์ผ ๋™์•ˆ ๋จธ๋ฌด๋ฅผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 2์ผ๊ณผ 3์ผ ์‚ฌ์ด์—๋Š” ์นœ๊ตฌ์˜ ๊ฒฐํ˜ผ์‹์ด ์ด๋ฃจ์–ด์ง€๋Š” ์ฝ”๋ฅด๋„๋ฐ”์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์บ˜๊ฑฐ๋ฆฌ์™€ ์•Œ๋ผํ›„์—˜๋ผ์—์„œ ๊ฐ๊ฐ 5์ผ ๋™์•ˆ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ๊ณผ 9์ผ ์‚ฌ์ด์—๋Š” ์•Œ๋ผํ›„์—˜๋ผ์— ์žˆ์–ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ์€ ํ‚คํ† ์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ ๋™์•ˆ์€ ํœด์Šคํ„ด์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๋จธ๋ฌด๋Š” ์ผ์ˆ˜๊ฐ€ ๊ฐ€์žฅ ๊ธด ๋‚˜๋ผ๋ฅผ ๋‹ค์„ฏ๋ฒˆ์งธ๋กœ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์บ˜๊ฑฐ๋ฆฌ์™€ ํœด์Šคํ„ด, ์บ˜๊ฑฐ๋ฆฌ์™€ ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด, ์ฝ”๋ฅด๋„๋ฐ”์™€ ํ‚คํ† , ์ฝ”๋ฅด๋„๋ฐ”์™€ ์•Œ๋ผํ›„์—˜๋ผ, ์•Œ๋ผํ›„์—˜๋ผ์™€ ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด, ํ‚คํ† ์™€ ์•Œ๋ผํ›„์—˜๋ผ, ํ‚คํ† ์™€ ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด, ํœด์Šคํ„ด๊ณผ ์•Œ๋ผํ›„์—˜๋ผ, ํœด์Šคํ„ด๊ณผ ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 22์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์ฝ”๋ฅด๋„๋ฐ” ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์ฝ”๋ฅด๋„๋ฐ”์—์„œ ํ‚คํ† ๋กœ ๋น„ํ–‰. 4-6์ผ์ฐจ: 3์ผ๊ฐ„ ํ‚คํ†  ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ํ‚คํ† ์—์„œ ์•Œ๋ผํ›„์—˜๋ผ๋กœ ๋น„ํ–‰. 6-10์ผ์ฐจ: 5์ผ๊ฐ„ ์•Œ๋ผํ›„์—˜๋ผ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์•Œ๋ผํ›„์—˜๋ผ์—์„œ ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด์—์„œ ํœด์Šคํ„ด์œผ๋กœ ๋น„ํ–‰. 13-18์ผ์ฐจ: 6์ผ๊ฐ„ ํœด์Šคํ„ด ๋ฐฉ๋ฌธ. 18์ผ์ฐจ: ํœด์Šคํ„ด์—์„œ ์บ˜๊ฑฐ๋ฆฌ๋กœ ๋น„ํ–‰. 18-22์ผ์ฐจ: 5์ผ๊ฐ„ ์บ˜๊ฑฐ๋ฆฌ ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 22 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You plan to stay in Cuernavaca and Cรณrdoba for 4 days each. Between days 2 and 3, you will be in Cรณrdoba for a friendโ€™s wedding. You will stay in Calgary and Alajuela for 5 days each. You need to be in Alajuela between days 6 and 9. You will spend 3 days in Quito. You intend to spend 6 days in Houston. You will visit the country where you will stay the longest as the 5th stop. Here are the cities that have direct flights: Calgary and Houston, Calgary and Cuernavaca, Cรณrdoba and Quito, Cรณrdoba and Alajuela, Alajuela and Cuernavaca, Quito and Alajuela, Quito and Cuernavaca, Houston and Alajuela, Houston and Cuernavaca. Plan a trip to visit six cities in 22 days with direct flights.
Days 1-4: Visit Cรณrdoba for 4 days. Day 4: Fly from Cรณrdoba to Quito. Days 4-6: Visit Quito for 3 days. Day 6: Fly from Quito to Alajuela. Days 6-10: Visit Alajuela for 5 days. Day 10: Fly from Alajuela to Cuernavaca. Days 10-13: Visit Cuernavaca for 4 days. Day 13: Fly from Cuernavaca to Houston. Days 13-18: Visit Houston for 6 days. Day 18: Fly from Houston to Calgary. Days 18-22: Visit Calgary for 5 days.
๋ณ€์ˆ˜ ์ •์˜: Cu: ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด, Co: ์ฝ”๋ฅด๋„๋ฐ”, Ca: ์บ˜๊ฑฐ๋ฆฌ, A: ์•Œ๋ผํ›„์—˜๋ผ, Q: ํ‚คํ† , H: ํœด์Šคํ„ด a_Cu: ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด ๋„์ฐฉ์ผ, d_Cu: ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด ์ถœ๋ฐœ์ผ a_Co: ์ฝ”๋ฅด๋„๋ฐ” ๋„์ฐฉ์ผ, d_Co: ์ฝ”๋ฅด๋„๋ฐ” ์ถœ๋ฐœ์ผ a_Ca: ์บ˜๊ฑฐ๋ฆฌ ๋„์ฐฉ์ผ, d_Ca: ์บ˜๊ฑฐ๋ฆฌ ์ถœ๋ฐœ์ผ a_A: ์•Œ๋ผํ›„์—˜๋ผ ๋„์ฐฉ์ผ, d_A: ์•Œ๋ผํ›„์—˜๋ผ ์ถœ๋ฐœ์ผ a_Q: ํ‚คํ†  ๋„์ฐฉ์ผ, d_Q: ํ‚คํ†  ์ถœ๋ฐœ์ผ a_H: ํœด์Šคํ„ด ๋„์ฐฉ์ผ, d_H: ํœด์Šคํ„ด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_Cu - a_Cu + 1 = 4 d_Co - a_Co + 1 = 4 d_Ca - a_Ca + 1 = 5 d_A - a_A + 1 = 5 d_Q - a_Q + 1 = 3 d_H - a_H + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_Cu, d_Co, d_Ca, d_A, d_Q, d_H) - min(a_Cu, a_Co, a_Ca, a_A, a_Q, a_H) + 1 = 22 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [2, 3] โˆฉ [a_Co, d_Co] โ‰  โˆ… [6, 9] โˆฉ [a_A, d_A] โ‰  โˆ… a_H = 5๋ฒˆ์งธ๋กœ ํฐ ๊ฐ’(a_Cu, a_Co, a_Ca, a_A, a_Q, a_H) ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (Ca โ†” H), (Ca โ†” Cu), (Co โ†” Q), (Co โ†” A), (A โ†” Cu), (Q โ†” A), (Q โ†” Cu), (H โ†” A), (H โ†” Cu) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ์ฝ”๋ฅด๋„๋ฐ” ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ์ฝ”๋ฅด๋„๋ฐ”์—์„œ ํ‚คํ† ๋กœ ๋น„ํ–‰. 4-6์ผ์ฐจ: 3์ผ๊ฐ„ ํ‚คํ†  ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ํ‚คํ† ์—์„œ ์•Œ๋ผํ›„์—˜๋ผ๋กœ ๋น„ํ–‰. 6-10์ผ์ฐจ: 5์ผ๊ฐ„ ์•Œ๋ผํ›„์—˜๋ผ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์•Œ๋ผํ›„์—˜๋ผ์—์„œ ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด๋กœ ๋น„ํ–‰. 10-13์ผ์ฐจ: 4์ผ๊ฐ„ ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด ๋ฐฉ๋ฌธ. 13์ผ์ฐจ: ์ฟ ์—๋ฅด๋‚˜๋ฐ”์นด์—์„œ ํœด์Šคํ„ด์œผ๋กœ ๋น„ํ–‰. 13-18์ผ์ฐจ: 6์ผ๊ฐ„ ํœด์Šคํ„ด ๋ฐฉ๋ฌธ. 18์ผ์ฐจ: ํœด์Šคํ„ด์—์„œ ์บ˜๊ฑฐ๋ฆฌ๋กœ ๋น„ํ–‰. 18-22์ผ์ฐจ: 5์ผ๊ฐ„ ์บ˜๊ฑฐ๋ฆฌ ๋ฐฉ๋ฌธ.
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์•„๋ฉ”๋ฆฌ์นด
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์ง์ ‘ ์ƒ์„ฑ
์ด 31์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์‚ฐ์‚ด๋ฐ”๋„๋ฅด์—์„œ 7์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์—๋ฅด๋ชจ์‹œ์š”์—์„œ 6์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค์—์„œ 5์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ฒค์ฟ ๋ฒ„์—์„œ 7์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์‹œ์• ํ‹€์—์„œ 6์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์—ฌํ–‰ 7์ผ์ฐจ์— ์‹œ์• ํ‹€์— ์žˆ๋Š” ๋™์ƒ์˜ ์กธ์—…์‹์— ์ฐธ์„ํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ํ˜ธ๋†€๋ฃฐ๋ฃจ์—์„œ 5์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฒค์ฟ ๋ฒ„์™€ ์‹œ์• ํ‹€, ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค์™€ ์—๋ฅด๋ชจ์‹œ์š”, ์‹œ์• ํ‹€๊ณผ ํ˜ธ๋†€๋ฃฐ๋ฃจ, ํ˜ธ๋†€๋ฃฐ๋ฃจ์™€ ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค, ์—๋ฅด๋ชจ์‹œ์š”์™€ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 31์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ: 7์ผ๊ฐ„ ๋ฒค์ฟ ๋ฒ„ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋ฒค์ฟ ๋ฒ„์—์„œ ์‹œ์• ํ‹€๋กœ ๋น„ํ–‰. 7-12์ผ์ฐจ: 6์ผ๊ฐ„ ์‹œ์• ํ‹€ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ์‹œ์• ํ‹€์—์„œ ํ˜ธ๋†€๋ฃฐ๋ฃจ๋กœ ๋น„ํ–‰. 12-16์ผ์ฐจ: 5์ผ๊ฐ„ ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ํ˜ธ๋†€๋ฃฐ๋ฃจ์—์„œ ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค๋กœ ๋น„ํ–‰. 16-20์ผ์ฐจ: 5์ผ๊ฐ„ ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค ๋ฐฉ๋ฌธ. 20์ผ์ฐจ: ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค์—์„œ ์—๋ฅด๋ชจ์‹œ์š”๋กœ ๋น„ํ–‰. 20-25์ผ์ฐจ: 6์ผ๊ฐ„ ์—๋ฅด๋ชจ์‹œ์š” ๋ฐฉ๋ฌธ. 25์ผ์ฐจ: ์—๋ฅด๋ชจ์‹œ์š”์—์„œ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด๋กœ ๋น„ํ–‰. 25-31์ผ์ฐจ: 7์ผ๊ฐ„ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 31 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 7 days in San Salvador. You'll spend 6 days in Hermosillo. You'll spend 5 days in Las Vegas. You'll spend 7 days in Vancouver. You'll spend 6 days in Seattle. You'll attend your brother's graduation in Seattle on day 7 of your trip. You'll spend 5 days in Honolulu. Here are the cities that have direct flights: Vancouver and Seattle, Las Vegas and Hermosillo, Seattle and Honolulu, Honolulu and Las Vegas, Hermosillo and San Salvador. Plan a trip to visit six cities in 31 days using direct flights.
Days 1-7: Visit Vancouver for 7 days. Day 7: Fly from Vancouver to Seattle. Days 7-12: Visit Seattle for 6 days. Day 12: Fly from Seattle to Honolulu. Days 12-16: Visit Honolulu for 5 days. Day 16: Fly from Honolulu to Las Vegas. Days 16-20: Visit Las Vegas for 5 days. Day 20: Fly from Las Vegas to Hermosillo. Days 20-25: Visit Hermosillo for 6 days. Day 25: Fly from Hermosillo to San Salvador. Days 25-31: Visit San Salvador for 7 days.
๋ณ€์ˆ˜ ์ •์˜: S: ์‚ฐ์‚ด๋ฐ”๋„๋ฅด, E: ์—๋ฅด๋ชจ์‹œ์š”, L: ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค, V: ๋ฒค์ฟ ๋ฒ„, T: ์‹œ์• ํ‹€, H: ํ˜ธ๋†€๋ฃฐ๋ฃจ a_S: ์‚ฐ์‚ด๋ฐ”๋„๋ฅด ๋„์ฐฉ์ผ, d_S: ์‚ฐ์‚ด๋ฐ”๋„๋ฅด ์ถœ๋ฐœ์ผ a_E: ์—๋ฅด๋ชจ์‹œ์š” ๋„์ฐฉ์ผ, d_E: ์—๋ฅด๋ชจ์‹œ์š” ์ถœ๋ฐœ์ผ a_L: ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค ๋„์ฐฉ์ผ, d_L: ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค ์ถœ๋ฐœ์ผ a_V: ๋ฒค์ฟ ๋ฒ„ ๋„์ฐฉ์ผ, d_V: ๋ฒค์ฟ ๋ฒ„ ์ถœ๋ฐœ์ผ a_T: ์‹œ์• ํ‹€ ๋„์ฐฉ์ผ, d_T: ์‹œ์• ํ‹€ ์ถœ๋ฐœ์ผ a_H: ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋„์ฐฉ์ผ, d_H: ํ˜ธ๋†€๋ฃฐ๋ฃจ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_S - a_S + 1 = 7 d_E - a_E + 1 = 6 d_L - a_L + 1 = 5 d_V - a_V + 1 = 7 d_T - a_T + 1 = 6 d_H - a_H + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_S, d_E, d_L, d_V, d_T, d_H) - min(a_S, a_E, a_L, a_V, a_T, a_H) + 1 = 31 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_T โ‰ค 7 โ‰ค d_T ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (V โ†” T), (L โ†” E), (T โ†” H), (H โ†” L), (E โ†” S) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-7์ผ์ฐจ: 7์ผ๊ฐ„ ๋ฒค์ฟ ๋ฒ„ ๋ฐฉ๋ฌธ. 7์ผ์ฐจ: ๋ฒค์ฟ ๋ฒ„์—์„œ ์‹œ์• ํ‹€๋กœ ๋น„ํ–‰. 7-12์ผ์ฐจ: 6์ผ๊ฐ„ ์‹œ์• ํ‹€ ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ์‹œ์• ํ‹€์—์„œ ํ˜ธ๋†€๋ฃฐ๋ฃจ๋กœ ๋น„ํ–‰. 12-16์ผ์ฐจ: 5์ผ๊ฐ„ ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋ฐฉ๋ฌธ. 16์ผ์ฐจ: ํ˜ธ๋†€๋ฃฐ๋ฃจ์—์„œ ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค๋กœ ๋น„ํ–‰. 16-20์ผ์ฐจ: 5์ผ๊ฐ„ ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค ๋ฐฉ๋ฌธ. 20์ผ์ฐจ: ๋ผ์Šค๋ฒ ์ด๊ฑฐ์Šค์—์„œ ์—๋ฅด๋ชจ์‹œ์š”๋กœ ๋น„ํ–‰. 20-25์ผ์ฐจ: 6์ผ๊ฐ„ ์—๋ฅด๋ชจ์‹œ์š” ๋ฐฉ๋ฌธ. 25์ผ์ฐจ: ์—๋ฅด๋ชจ์‹œ์š”์—์„œ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด๋กœ ๋น„ํ–‰. 25-31์ผ์ฐจ: 7์ผ๊ฐ„ ์‚ฐ์‚ด๋ฐ”๋„๋ฅด ๋ฐฉ๋ฌธ.
200
์•„๋ฉ”๋ฆฌ์นด
6
์ง์ ‘ ์ƒ์„ฑ
์ด 20์ผ ๋™์•ˆ ์•„๋ฉ”๋ฆฌ์นด 6๊ฐœ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ณ„ํš์ž…๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ์•ˆ์— ๊ฐ€๋Šฅํ•˜๋ฉฐ, ํ•ญ๊ณตํŽธ์€ ๊ฐ ๋„์‹œ์— ๋จธ๋ฌด๋ฅด๋Š” ์ผ์ •์— ์˜ํ–ฅ์„ ๋ผ์น˜์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ๋ชฌํŠธ๋ฆฌ์˜ฌ์—์„œ 5์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ชฌํŠธ๋ฆฌ์˜ฌ์—์„œ ์—ฌํ–‰ 2์ผ์ฐจ์— ๋ถ€๋ชจ๋‹˜์„ ๋งŒ๋‚˜ ์ ์‹ฌ์„ ๋จน๊ธฐ๋กœ ํ–ˆ์Šต๋‹ˆ๋‹ค. ๋งˆ๋‚˜๊ณผ์—์„œ 3์ผ์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ๋งˆ๋‚˜๊ณผ๊ฐ€ ๋„ค ๋ฒˆ์งธ ์—ฌํ–‰์ง€๋ฉด ์ข‹๊ฒ ์Šต๋‹ˆ๋‹ค. 7์ผ๊ฐ„ ๋Œˆ๋Ÿฌ์Šค๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ชฌํ…Œ๋ ˆ์ด๋ฅผ 2์ผ๊ฐ„ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 11์ผ๊ณผ 12์ผ ์‚ฌ์ด์—๋Š” ๋ชฌํ…Œ๋ ˆ์ด์— ์žˆ์–ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. ์‚ฐํ† ๋„๋ฐ๊ณ ์™€ ํ‚น์Šคํ†ค์—์„œ ๊ฐ๊ฐ 4์ผ ๋™์•ˆ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 14์ผ์— ํ‚น์Šคํ†ค์— ์žˆ๋Š” ๋Œ€ํ•™๊ต์— ๋ฐฉ๋ฌธํ•˜์—ฌ ๊ฐ•์˜๋ฅผ ํ•ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ชฌํ…Œ๋ ˆ์ด์™€ ๋Œˆ๋Ÿฌ์Šค, ๋ชฌํ…Œ๋ ˆ์ด์™€ ์‚ฐํ† ๋„๋ฐ๊ณ , ๋งˆ๋‚˜๊ณผ์™€ ๋ชฌํ…Œ๋ ˆ์ด, ๋งˆ๋‚˜๊ณผ์™€ ๋ชฌํŠธ๋ฆฌ์˜ฌ, ํ‚น์Šคํ†ค๊ณผ ๋งˆ๋‚˜๊ณผ, ํ‚น์Šคํ†ค๊ณผ ๋ชฌํ…Œ๋ ˆ์ด, ๋Œˆ๋Ÿฌ์Šค์™€ ์‚ฐํ† ๋„๋ฐ๊ณ , ์‚ฐํ† ๋„๋ฐ๊ณ ์™€ ๋งˆ๋‚˜๊ณผ, ๋ชฌํŠธ๋ฆฌ์˜ฌ๊ณผ ๋Œˆ๋Ÿฌ์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 20์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋ชฌํŠธ๋ฆฌ์˜ฌ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ชฌํŠธ๋ฆฌ์˜ฌ์—์„œ ๋Œˆ๋Ÿฌ์Šค๋กœ ๋น„ํ–‰. 5-11์ผ์ฐจ: 7์ผ๊ฐ„ ๋Œˆ๋Ÿฌ์Šค ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋Œˆ๋Ÿฌ์Šค์—์„œ ๋ชฌํ…Œ๋ ˆ์ด๋กœ ๋น„ํ–‰. 11-12์ผ์ฐจ: 2์ผ๊ฐ„ ๋ชฌํ…Œ๋ ˆ์ด ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋ชฌํ…Œ๋ ˆ์ด์—์„œ ๋งˆ๋‚˜๊ณผ๋กœ ๋น„ํ–‰. 12-14์ผ์ฐจ: 3์ผ๊ฐ„ ๋งˆ๋‚˜๊ณผ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ๋งˆ๋‚˜๊ณผ์—์„œ ํ‚น์Šคํ†ค์œผ๋กœ ๋น„ํ–‰. 14-17์ผ์ฐจ: 4์ผ๊ฐ„ ํ‚น์Šคํ†ค ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ํ‚น์Šคํ†ค์—์„œ ์‚ฐํ† ๋„๋ฐ๊ณ ๋กœ ๋น„ํ–‰. 17-20์ผ์ฐจ: 4์ผ๊ฐ„ ์‚ฐํ† ๋„๋ฐ๊ณ  ๋ฐฉ๋ฌธ.
You plan to visit 6 cities in the Americas for a total of 20 days. You will only take direct flights between cities. Travel between cities is possible within a day, and flights do not affect the itinerary for staying in each city. You'll spend 5 days in Montreal. You decide to meet your parents for lunch on day 2 of your trip in Montreal. You want to spend 3 days in Managua. You want Managua to be your fourth trip. You will visit Dallas for 7 days. You will visit Monterrey for 2 days. You should be in Monterrey between the 11th and 12th. You will be in Santo Domingo and Kingston for 4 days each. On the 14th, you will need to visit a university in Kingston to give a lecture. Here are the cities that have direct flights: Monterrey and Dallas, Monterrey and Santo Domingo, Managua and Monterrey, Managua and Montreal, Kingston and Managua, Kingston and Monterrey, Dallas and Santo Domingo, Santo Domingo and Managua, Montreal and Dallas. Plan a trip to visit six cities in 20 days with direct flights.
Days 1-5: Visit Montreal for 5 days. Day 5: Fly from Montreal to Dallas. Days 5-11: Visit Dallas for 7 days. Day 11: Fly from Dallas to Monterrey. Days 11-12: Visit Monterrey for 2 days. Day 12: Fly from Monterrey to Managua. Days 12-14: Visit Managua for 3 days. Day 14: Fly from Managua to Kingston. Days 14-17: Visit Kingston for 4 days. Day 17: Fly from Kingston to Santo Domingo. Days 17-20: Visit Santo Domingo for 4 days.
๋ณ€์ˆ˜ ์ •์˜: M: ๋ชฌํŠธ๋ฆฌ์˜ฌ, N: ๋งˆ๋‚˜๊ณผ, D: ๋Œˆ๋Ÿฌ์Šค, T: ๋ชฌํ…Œ๋ ˆ์ด, S: ์‚ฐํ† ๋„๋ฐ๊ณ , K: ํ‚น์Šคํ†ค a_M: ๋ชฌํŠธ๋ฆฌ์˜ฌ ๋„์ฐฉ์ผ, d_M: ๋ชฌํŠธ๋ฆฌ์˜ฌ ์ถœ๋ฐœ์ผ a_N: ๋งˆ๋‚˜๊ณผ ๋„์ฐฉ์ผ, d_N: ๋งˆ๋‚˜๊ณผ ์ถœ๋ฐœ์ผ a_D: ๋Œˆ๋Ÿฌ์Šค ๋„์ฐฉ์ผ, d_D: ๋Œˆ๋Ÿฌ์Šค ์ถœ๋ฐœ์ผ a_T: ๋ชฌํ…Œ๋ ˆ์ด ๋„์ฐฉ์ผ, d_T: ๋ชฌํ…Œ๋ ˆ์ด ์ถœ๋ฐœ์ผ a_S: ์‚ฐํ† ๋„๋ฐ๊ณ  ๋„์ฐฉ์ผ, d_S: ์‚ฐํ† ๋„๋ฐ๊ณ  ์ถœ๋ฐœ์ผ a_K: ํ‚น์Šคํ†ค ๋„์ฐฉ์ผ, d_K: ํ‚น์Šคํ†ค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_M - a_M + 1 = 5 d_N - a_N + 1 = 3 d_D - a_D + 1 = 7 d_T - a_T + 1 = 2 d_S - a_S + 1 = 4 d_K - a_K + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_M, d_N, d_D, d_T, d_S, d_K) - min(a_M, a_N, a_D, a_T, a_S, a_K) + 1 = 20 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_M + 1 = 2 a_N < a_S, a_N < a_K, a_N < a_T [11, 12] โˆฉ [a_T, d_T] โ‰  โˆ… a_K โ‰ค 14 โ‰ค d_K ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (T โ†” D), (T โ†” S), (N โ†” T), (N โ†” M), (K โ†” N), (K โ†” T), (D โ†” S), (S โ†” N), (M โ†” D) ๋„์‹œ ๊ฐ„์„ ์ด๋™ํ•  ๋•Œ๋Š” ์งํ•ญ ํ•ญ๊ณตํŽธ๋งŒ ์ด์šฉํ•ฉ๋‹ˆ๋‹ค. ๋„์‹œ ๊ฐ„ ์ด๋™์€ ํ•˜๋ฃจ ๋‚ด์— ์ด๋ฃจ์–ด์ง€๋ฉฐ ์ด๋™ ์‹œ๊ฐ„์ด ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„์— ์˜ํ–ฅ์„ ์ฃผ์ง€ ์•Š์Šต๋‹ˆ๋‹ค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ: 5์ผ๊ฐ„ ๋ชฌํŠธ๋ฆฌ์˜ฌ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ชฌํŠธ๋ฆฌ์˜ฌ์—์„œ ๋Œˆ๋Ÿฌ์Šค๋กœ ๋น„ํ–‰. 5-11์ผ์ฐจ: 7์ผ๊ฐ„ ๋Œˆ๋Ÿฌ์Šค ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋Œˆ๋Ÿฌ์Šค์—์„œ ๋ชฌํ…Œ๋ ˆ์ด๋กœ ๋น„ํ–‰. 11-12์ผ์ฐจ: 2์ผ๊ฐ„ ๋ชฌํ…Œ๋ ˆ์ด ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ๋ชฌํ…Œ๋ ˆ์ด์—์„œ ๋งˆ๋‚˜๊ณผ๋กœ ๋น„ํ–‰. 12-14์ผ์ฐจ: 3์ผ๊ฐ„ ๋งˆ๋‚˜๊ณผ ๋ฐฉ๋ฌธ. 14์ผ์ฐจ: ๋งˆ๋‚˜๊ณผ์—์„œ ํ‚น์Šคํ†ค์œผ๋กœ ๋น„ํ–‰. 14-17์ผ์ฐจ: 4์ผ๊ฐ„ ํ‚น์Šคํ†ค ๋ฐฉ๋ฌธ. 17์ผ์ฐจ: ํ‚น์Šคํ†ค์—์„œ ์‚ฐํ† ๋„๋ฐ๊ณ ๋กœ ๋น„ํ–‰. 17-20์ผ์ฐจ: 4์ผ๊ฐ„ ์‚ฐํ† ๋„๋ฐ๊ณ  ๋ฐฉ๋ฌธ.