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River Crossing Puzzle

過河謎題

The Family | 家庭成員

A family needs to cross a river. The family consists of: 一個家庭需要過河。這個家庭包括:

  • Father | 爸爸
  • Mother | 媽媽
  • 2 Sons | 兩個兒子
  • 2 Daughters | 兩個女兒
  • 1 Servant | 一個僕人
  • 1 Dog | 一條狗

Available Resources | 可用資源

  • One boat that can carry maximum 2 people/animals at a time 一艘船,一次最多可載兩個人/動物
  • Only the father, mother, and servant know how to operate the boat 只有爸爸、媽媽和僕人會開船
  • The boat operator counts as one of the two passengers 開船的人算作兩個乘客之一

Constraints | 限制條件

  1. When mother is absent and father is present: 當媽媽不在而爸爸在場時:
    • Father will hit the daughters 爸爸會打女兒
    • Mission fails if this occurs 如果發生這種情況,任務失敗
  2. When father is absent and mother is present: 當爸爸不在而媽媽在場時:
    • Mother will hit the sons 媽媽會打兒子
    • Mission fails if this occurs 如果發生這種情況,任務失敗
  3. When servant is absent: 當僕人不在時:
    • Dog will bite all family members 狗會咬所有家庭成員
    • Mission fails if this occurs 如果發生這種情況,任務失敗

Goal | 目標

Transport the entire family (including the servant and dog) safely across the river in the minimum number of boat crossings while respecting all constraints. 在遵守所有限制條件的情況下,用最少的船程將全家人(包括僕人和狗)安全送到河對岸。

Success Criteria | 成功標準

  • All family members must reach the destination side 所有家庭成員必須到達目的地岸
  • No violations of the constraints can occur at any point 任何時候都不能違反限制條件
  • The number of crossings should be minimized 船程數量應該最少化

Initial State | 初始狀態

Starting side | 起始岸: Father, Mother, 2 Sons, 2 Daughters, Servant, Dog 爸爸、媽媽、兩個兒子、兩個女兒、僕人、狗

Destination side | 目的地岸: Empty | 空

Boat location | 船的位置: At starting side | 在起始岸

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    River Crossing Puzzle Problem Statement (English & Traditional Chinese) | Claude