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์•„๋ฉ”๋ฆฌ์นด
3
์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„ ์—๋ฅด๋ชจ์‹œ์š”๋ฅผ ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์บ˜๊ฑฐ๋ฆฌ์—์„œ 6์ผ์„ ๋จธ๋ฃฐ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. ์—ฌํ–‰ 3์ผ์ฐจ์— ์บ˜๊ฑฐ๋ฆฌ์—์„œ ํ•™์ˆ ๋ฐœํ‘œํšŒ์— ์ฐธ์„ํ•ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ์˜ค์Šคํ‹ด์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ์˜ค์Šคํ‹ด๊ณผ ์—๋ฅด๋ชจ์‹œ์š”, ์บ˜๊ฑฐ๋ฆฌ์™€ ์˜ค์Šคํ‹ด. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 10์ผ ๋™์•ˆ ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ์บ˜๊ฑฐ๋ฆฌ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์บ˜๊ฑฐ๋ฆฌ์—์„œ ์˜ค์Šคํ‹ด์œผ๋กœ ๋น„ํ–‰. 6-9์ผ์ฐจ: 4์ผ๊ฐ„ ์˜ค์Šคํ‹ด ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์˜ค์Šคํ‹ด์—์„œ ์—๋ฅด๋ชจ์‹œ์š”๋กœ ๋น„ํ–‰. 9-10์ผ์ฐจ: 2์ผ๊ฐ„ ์—๋ฅด๋ชจ์‹œ์š” ๋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 want to visit Hermosillo for 2 days. You plan to spend 6 days in Calgary. You need to attend an academic conference in Calgary on day 3 of your trip. You'll be in Austin for 4 days. Here are the cities that have direct flights: Austin and Hermosillo, Calgary and Austin. Plan your trip to visit the three cities in 10 days using direct flights.
Days 1-6: Visit Calgary for 6 days. Day 6: Fly from Calgary to Austin. Days 6-9: Visit Austin for 4 days. Day 9: Fly from Austin to Hermosillo. Days 9-10: Visit Hermosillo for 2 days.
๋ณ€์ˆ˜ ์ •์˜: E: ์—๋ฅด๋ชจ์‹œ์š”, C: ์บ˜๊ฑฐ๋ฆฌ, A: ์˜ค์Šคํ‹ด 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: ์˜ค์Šคํ‹ด ๋„์ฐฉ์ผ, d_A: ์˜ค์Šคํ‹ด ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_E - a_E + 1 = 2 d_C - a_C + 1 = 6 d_A - a_A + 1 = 4 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_E, d_C, d_A) - min(a_E, a_C, a_A) + 1 = 10 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_C โ‰ค 3 โ‰ค d_C ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (A โ†” E), (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 ์„ธ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-6์ผ์ฐจ: 6์ผ๊ฐ„ ์บ˜๊ฑฐ๋ฆฌ ๋ฐฉ๋ฌธ. 6์ผ์ฐจ: ์บ˜๊ฑฐ๋ฆฌ์—์„œ ์˜ค์Šคํ‹ด์œผ๋กœ ๋น„ํ–‰. 6-9์ผ์ฐจ: 4์ผ๊ฐ„ ์˜ค์Šคํ‹ด ๋ฐฉ๋ฌธ. 9์ผ์ฐจ: ์˜ค์Šคํ‹ด์—์„œ ์—๋ฅด๋ชจ์‹œ์š”๋กœ ๋น„ํ–‰. 9-10์ผ์ฐจ: 2์ผ๊ฐ„ ์—๋ฅด๋ชจ์‹œ์š” ๋ฐฉ๋ฌธ.
202
์•„๋ฉ”๋ฆฌ์นด
4
์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. 4์ผ๊ฐ„ ๋ผํŒŒ์Šค์— ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์—์„œ ๋จธ๋ฌผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ๊ฐ€ ์„ธ๋ฒˆ์งธ ์—ฌํ–‰์ง€์˜€์œผ๋ฉด ์ข‹๊ฒ ์Šต๋‹ˆ๋‹ค. 7์ผ ๋™์•ˆ ํ˜ธ๋†€๋ฃฐ๋ฃจ์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ ๋™์•ˆ ์ฟ ์ด์•„๋ฐ”์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๋ ค๊ณ  ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํ˜ธ๋†€๋ฃฐ๋ฃจ์™€ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ, ์ฟ ์ด์•„๋ฐ”์™€ ๋ผํŒŒ์Šค, ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์™€ ์ฟ ์ด์•„๋ฐ”. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 17์ผ ๋™์•ˆ ๋„ค ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-4์ผ์ฐจ: 4์ผ๊ฐ„ ๋ผํŒŒ์Šค ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ผํŒŒ์Šค์—์„œ ์ฟ ์ด์•„๋ฐ”๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ์ฟ ์ด์•„๋ฐ” ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์ฟ ์ด์•„๋ฐ”์—์„œ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 8-11์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์—์„œ ํ˜ธ๋†€๋ฃฐ๋ฃจ๋กœ ๋น„ํ–‰. 11-17์ผ์ฐจ: 7์ผ๊ฐ„ ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋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 will be in La Paz for 4 days. You will be in Mexico City for 4 days. You want Mexico City to be your third destination. You will be in Honolulu for 7 days. You want to spend time in Cuiaba for 5 days. Here are the cities that have direct flights: Honolulu and Mexico City, Cuiaba and La Paz, Mexico City and Cuiaba. Plan a trip to visit four cities in 17 days using direct flights.
Days 1-4: Visit La Paz for 4 days. Day 4: Fly from La Paz to Cuiaba. Days 4-8: Visit Cuiaba for 5 days. Day 8: Fly from Cuiaba to Mexico City. Days 8-11: Visit Mexico City for 4 days. Day 11: Fly from Mexico City to Honolulu. Days 11-17: Visit Honolulu for 7 days.
๋ณ€์ˆ˜ ์ •์˜: L: ๋ผํŒŒ์Šค, M: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ, H: ํ˜ธ๋†€๋ฃฐ๋ฃจ, C: ์ฟ ์ด์•„๋ฐ” a_L: ๋ผํŒŒ์Šค ๋„์ฐฉ์ผ, d_L: ๋ผํŒŒ์Šค ์ถœ๋ฐœ์ผ a_M: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ๋„์ฐฉ์ผ, d_M: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ์ถœ๋ฐœ์ผ a_H: ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋„์ฐฉ์ผ, d_H: ํ˜ธ๋†€๋ฃฐ๋ฃจ ์ถœ๋ฐœ์ผ a_C: ์ฟ ์ด์•„๋ฐ” ๋„์ฐฉ์ผ, d_C: ์ฟ ์ด์•„๋ฐ” ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_L - a_L + 1 = 4 d_M - a_M + 1 = 4 d_H - a_H + 1 = 7 d_C - a_C + 1 = 5 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_L, d_M, d_H, d_C) - min(a_L, a_M, a_H, a_C) + 1 = 17 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: โˆƒx,y,z โˆˆ {L,H,C}: a_x < a_y < a_M < a_z ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (H โ†” M), (C โ†” L), (M 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„ ๋ผํŒŒ์Šค ๋ฐฉ๋ฌธ. 4์ผ์ฐจ: ๋ผํŒŒ์Šค์—์„œ ์ฟ ์ด์•„๋ฐ”๋กœ ๋น„ํ–‰. 4-8์ผ์ฐจ: 5์ผ๊ฐ„ ์ฟ ์ด์•„๋ฐ” ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์ฟ ์ด์•„๋ฐ”์—์„œ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ๋กœ ๋น„ํ–‰. 8-11์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋ฉ•์‹œ์ฝ”์‹œํ‹ฐ์—์„œ ํ˜ธ๋†€๋ฃฐ๋ฃจ๋กœ ๋น„ํ–‰. 11-17์ผ์ฐจ: 7์ผ๊ฐ„ ํ˜ธ๋†€๋ฃฐ๋ฃจ ๋ฐฉ๋ฌธ.
203
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5
์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. ๋ณด์Šคํ„ด, ํ‚คํ† , ์•„์นดํ’€์ฝ”์—์„œ ๊ฐ๊ฐ 3์ผ๊ฐ„ ๋จธ๋ฌผ ์˜ˆ์ •์ž…๋‹ˆ๋‹ค. 10์ผ๊ณผ 12์ผ ์‚ฌ์ด์—๋Š” ํ‚คํ† ์—์„œ ๋™์ƒ๊ณผ ์—ฌํ–‰์„ ์ฆ๊ธธ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ๊ฐ„ ๋ฆฌ๋งˆ๋ฅผ ๋ฐฉ๋ฌธํ•  ๊ฒƒ์ž…๋‹ˆ๋‹ค. 6์ผ ๋™์•ˆ ์‚ฐํ˜ธ์„ธ์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ํ‚คํ† ์™€ ์‚ฐํ˜ธ์„ธ, ๋ฆฌ๋งˆ์™€ ํ‚คํ† , ์•„์นดํ’€์ฝ”์™€ ์‚ฐํ˜ธ์„ธ, ๋ณด์Šคํ„ด๊ณผ ์•„์นดํ’€์ฝ”. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 15์ผ ๋™์•ˆ ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋ณด์Šคํ„ด ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋ณด์Šคํ„ด์—์„œ ์•„์นดํ’€์ฝ”๋กœ ๋น„ํ–‰. 3-5์ผ์ฐจ: 3์ผ๊ฐ„ ์•„์นดํ’€์ฝ” ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์•„์นดํ’€์ฝ”์—์„œ ์‚ฐํ˜ธ์„ธ๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ: 6์ผ๊ฐ„ ์‚ฐํ˜ธ์„ธ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์‚ฐํ˜ธ์„ธ์—์„œ ํ‚คํ† ๋กœ ๋น„ํ–‰. 10-12์ผ์ฐจ: 3์ผ๊ฐ„ ํ‚คํ†  ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ํ‚คํ† ์—์„œ ๋ฆฌ๋งˆ๋กœ ๋น„ํ–‰. 12-15์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฆฌ๋งˆ ๋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'll spend 3 days in Boston, Quito, and Acapulco. Between the 10th and 12th, you'll be traveling with your brother in Quito. You'll be visiting Lima for 4 days. You'd like to spend 6 days in San Jose. Here are the cities that have direct flights: Quito and San Jose, Lima and Quito, Acapulco and San Jose, Boston and Acapulco. Plan a trip to visit five cities in 15 days using direct flights.
Days 1-3: Visit Boston for 3 days. Day 3: Fly from Boston to Acapulco. Days 3-5: Visit Acapulco for 3 days. Day 5: Fly from Acapulco to San Jose. Days 5-10: Visit San Jose for 6 days. Day 10: Fly from San Jose to Quito. Days 10-12: Visit Quito for 3 days. Day 12: Fly from Quito to Lima. Days 12-15: Visit Lima for 4 days.
๋ณ€์ˆ˜ ์ •์˜: B: ๋ณด์Šคํ„ด, Q: ํ‚คํ† , A: ์•„์นดํ’€์ฝ”, L: ๋ฆฌ๋งˆ, S: ์‚ฐํ˜ธ์„ธ a_B: ๋ณด์Šคํ„ด ๋„์ฐฉ์ผ, d_B: ๋ณด์Šคํ„ด ์ถœ๋ฐœ์ผ a_Q: ํ‚คํ†  ๋„์ฐฉ์ผ, d_Q: ํ‚คํ†  ์ถœ๋ฐœ์ผ a_A: ์•„์นดํ’€์ฝ” ๋„์ฐฉ์ผ, d_A: ์•„์นดํ’€์ฝ” ์ถœ๋ฐœ์ผ a_L: ๋ฆฌ๋งˆ ๋„์ฐฉ์ผ, d_L: ๋ฆฌ๋งˆ ์ถœ๋ฐœ์ผ a_S: ์‚ฐํ˜ธ์„ธ ๋„์ฐฉ์ผ, d_S: ์‚ฐํ˜ธ์„ธ ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_B - a_B + 1 = 3 d_Q - a_Q + 1 = 3 d_A - a_A + 1 = 3 d_L - a_L + 1 = 4 d_S - a_S + 1 = 6 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_B, d_Q, d_A, d_L, d_S) - min(a_B, a_Q, a_A, a_L, a_S) + 1 = 15 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: [10, 12] โˆฉ [a_Q, d_Q] โ‰  โˆ… ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (Q โ†” S), (L โ†” Q), (A โ†” S), (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 ๋‹ค์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-3์ผ์ฐจ: 3์ผ๊ฐ„ ๋ณด์Šคํ„ด ๋ฐฉ๋ฌธ. 3์ผ์ฐจ: ๋ณด์Šคํ„ด์—์„œ ์•„์นดํ’€์ฝ”๋กœ ๋น„ํ–‰. 3-5์ผ์ฐจ: 3์ผ๊ฐ„ ์•„์นดํ’€์ฝ” ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ์•„์นดํ’€์ฝ”์—์„œ ์‚ฐํ˜ธ์„ธ๋กœ ๋น„ํ–‰. 5-10์ผ์ฐจ: 6์ผ๊ฐ„ ์‚ฐํ˜ธ์„ธ ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ์‚ฐํ˜ธ์„ธ์—์„œ ํ‚คํ† ๋กœ ๋น„ํ–‰. 10-12์ผ์ฐจ: 3์ผ๊ฐ„ ํ‚คํ†  ๋ฐฉ๋ฌธ. 12์ผ์ฐจ: ํ‚คํ† ์—์„œ ๋ฆฌ๋งˆ๋กœ ๋น„ํ–‰. 12-15์ผ์ฐจ: 4์ผ๊ฐ„ ๋ฆฌ๋งˆ ๋ฐฉ๋ฌธ.
204
์•„๋ฉ”๋ฆฌ์นด
6
์ง์ ‘ ์ƒ์„ฑ
์ด 18์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. ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ 5์ผ์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 5์ผ๊ฐ„ ๋ฐ”๋ผ๋ฐ๋กœ๋ฅผ ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ์€ ์‚ฐํ‹ฐ์•„๊ณ ์— ์žˆ์„ ๊ฒƒ์ž…๋‹ˆ๋‹ค. ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ 2์ผ ๋™์•ˆ ๋จธ๋ฌด๋ฅผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 4์ผ ๋™์•ˆ ์ŠคํŒจ๋‹ˆ์Šคํƒ€์šด์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ผ ๊ฒƒ์ž…๋‹ˆ๋‹ค. 3์ผ ๋™์•ˆ์€ ๋ฏธ๋‚˜์šฐ์Šค์—์„œ ์‹œ๊ฐ„์„ ๋ณด๋‚ด๋ ค ํ•ฉ๋‹ˆ๋‹ค. ๋จธ๋ฌด๋Š” ์ผ์ž๊ฐ€ ๊ฐ€์žฅ ์ ์€ ๋„์‹œ๋ฅผ 4๋ฒˆ์งธ๋กœ ๋ฐฉ๋ฌธํ•˜๊ณ ์ž ํ•ฉ๋‹ˆ๋‹ค. ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์Šต๋‹ˆ๋‹ค: ๋ฐ”๋ผ๋ฐ๋กœ์™€ ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด, ๋ฏธ๋‚˜์šฐ์Šค์™€ ๋ชฌํ…Œ๋น„๋ฐ์˜ค, ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด๊ณผ ๋ฏธ๋‚˜์šฐ์Šค, ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์™€ ์‚ฐํ‹ฐ์•„๊ณ , ๋ชฌํ…Œ๋น„๋ฐ์˜ค์™€ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค. ์งํ•ญ ํ•ญ๊ณตํŽธ์„ ์ด์šฉํ•˜์—ฌ 18์ผ ๋™์•ˆ ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ:5์ผ๊ฐ„ ๋ฐ”๋ผ๋ฐ๋กœ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ฐ”๋ผ๋ฐ๋กœ์—์„œ ์ŠคํŒจ๋‹ˆ์Šคํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ์ŠคํŒจ๋‹ˆ์Šคํƒ€์šด ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด์—์„œ ๋ฏธ๋‚˜์šฐ์Šค๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฏธ๋‚˜์šฐ์Šค ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ฏธ๋‚˜์šฐ์Šค์—์„œ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋กœ ๋น„ํ–‰. 10-11์ผ์ฐจ: 2์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค๋กœ ๋น„ํ–‰. 11-15์ผ์ฐจ: 5์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ ์‚ฐํ‹ฐ์•„๊ณ ๋กœ ๋น„ํ–‰. 15-18์ผ์ฐจ: 4์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ  ๋ฐฉ๋ฌธ.
You plan to visit 6 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'll spend 5 days in Buenos Aires. You want to visit Varadero for 5 days. You'll be in Santiago for 4 days. You'll spend 2 days in Montevideo. You'll spend 4 days in Spain Town. You'll spend 3 days in Minaus. You want to visit the city with the least number of days in it as your 4th city. Here are the cities that have direct flights: Varadero and Spanish Town, Minaus and Montevideo, Spanish Town and Minaus, Buenos Aires and Santiago, Montevideo and Buenos Aires. Plan a trip to visit six cities in 18 days with direct flights.
Days 1-5: Visit Varadero for 5 days. Day 5: Fly from Varadero to Spain Town. Days 5-8: Visit Spain Town for 4 days. Day 8: Fly from Spanish Town to Minaus. Days 8-10: Visit Minaus for 3 days. Day 10: Fly from Minaus to Montevideo. Days 10-11: Visit Montevideo for 2 days. Day 11: Fly from Montevideo to Buenos Aires. Days 11-15: Visit Buenos Aires for 5 days. Day 15: Fly from Buenos Aires to Santiago. Days 15-18: Visit Santiago for 4 days.
๋ณ€์ˆ˜ ์ •์˜: B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค, V: ๋ฐ”๋ผ๋ฐ๋กœ, S: ์‚ฐํ‹ฐ์•„๊ณ , M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค, T: ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด, N: ๋ฏธ๋‚˜์šฐ์Šค a_B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋„์ฐฉ์ผ, d_B: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ์ถœ๋ฐœ์ผ a_V: ๋ฐ”๋ผ๋ฐ๋กœ ๋„์ฐฉ์ผ, d_V: ๋ฐ”๋ผ๋ฐ๋กœ ์ถœ๋ฐœ์ผ a_S: ์‚ฐํ‹ฐ์•„๊ณ  ๋„์ฐฉ์ผ, d_S: ์‚ฐํ‹ฐ์•„๊ณ  ์ถœ๋ฐœ์ผ a_M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋„์ฐฉ์ผ, d_M: ๋ชฌํ…Œ๋น„๋ฐ์˜ค ์ถœ๋ฐœ์ผ a_T: ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด ๋„์ฐฉ์ผ, d_T: ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด ์ถœ๋ฐœ์ผ a_N: ๋ฏธ๋‚˜์šฐ์Šค ๋„์ฐฉ์ผ, d_N: ๋ฏธ๋‚˜์šฐ์Šค ์ถœ๋ฐœ์ผ ์ œ์•ฝ ์กฐ๊ฑด: ๊ฐ ๋„์‹œ์—์„œ์˜ ์ฒด๋ฅ˜ ๊ธฐ๊ฐ„: d_B - a_B + 1 = 5 d_V - a_V + 1 = 5 d_S - a_S + 1 = 4 d_M - a_M + 1 = 2 d_T - a_T + 1 = 4 d_N - a_N + 1 = 3 ์ „์ฒด ์—ฌํ–‰ ๊ธฐ๊ฐ„: max(d_B, d_V, d_S, d_M, d_T, d_N) - min(a_B, a_V, a_S, a_M, a_T, a_N) + 1 = 18 ์„ธ๋ถ€ ์ œ์•ฝ ์กฐ๊ฑด: a_M = min(a_B, a_V, a_S, a_T, a_N) + 3 ์งํ•ญํŽธ์ด ์žˆ๋Š” ๋„์‹œ: (V โ†” T), (N โ†” M), (T โ†” N), (B 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 ์—ฌ์„ฏ ๋„์‹œ๋ฅผ ๋ฐฉ๋ฌธํ•˜๋Š” ์—ฌํ–‰ ๊ณ„ํš์„ ์„ธ์›Œ๋ณด์„ธ์š”.
1-5์ผ์ฐจ:5์ผ๊ฐ„ ๋ฐ”๋ผ๋ฐ๋กœ ๋ฐฉ๋ฌธ. 5์ผ์ฐจ: ๋ฐ”๋ผ๋ฐ๋กœ์—์„œ ์ŠคํŒจ๋‹ˆ์Šคํƒ€์šด์œผ๋กœ ๋น„ํ–‰. 5-8์ผ์ฐจ: 4์ผ๊ฐ„ ์ŠคํŒจ๋‹ˆ์Šคํƒ€์šด ๋ฐฉ๋ฌธ. 8์ผ์ฐจ: ์ŠคํŒจ๋‹ˆ์‹œํƒ€์šด์—์„œ ๋ฏธ๋‚˜์šฐ์Šค๋กœ ๋น„ํ–‰. 8-10์ผ์ฐจ: 3์ผ๊ฐ„ ๋ฏธ๋‚˜์šฐ์Šค ๋ฐฉ๋ฌธ. 10์ผ์ฐจ: ๋ฏธ๋‚˜์šฐ์Šค์—์„œ ๋ชฌํ…Œ๋น„๋ฐ์˜ค๋กœ ๋น„ํ–‰. 10-11์ผ์ฐจ: 2์ผ๊ฐ„ ๋ชฌํ…Œ๋น„๋ฐ์˜ค ๋ฐฉ๋ฌธ. 11์ผ์ฐจ: ๋ชฌํ…Œ๋น„๋ฐ์˜ค์—์„œ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค๋กœ ๋น„ํ–‰. 11-15์ผ์ฐจ: 5์ผ๊ฐ„ ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค ๋ฐฉ๋ฌธ. 15์ผ์ฐจ: ๋ถ€์—๋…ธ์Šค์•„์ด๋ ˆ์Šค์—์„œ ์‚ฐํ‹ฐ์•„๊ณ ๋กœ ๋น„ํ–‰. 15-18์ผ์ฐจ: 4์ผ๊ฐ„ ์‚ฐํ‹ฐ์•„๊ณ  ๋ฐฉ๋ฌธ.