Farmer Jon has recently bought n tree seedlings that he wants to plant in his yard. It takes 1 day for Jon to plant a /problems/plantingtrees/file/statement/er 0001.JPG seedlingt, and for each tree Jon knows exactly in how many days after planting it grows to full maturity. Jon would also like to throw a party for his farmer friends, but in order to impress them he would like to organize the party only after all the trees have grown. More precisely, the party can be organized at earliest on the next day after the last tree has grown up. Help Jon to find out when is the earliest day when the party can take place. Jon can choose the order of planting the trees as he likes, so he wants to plant the trees in such a way that the party will be as soon as possible. Input The input consists of two lines. The first line contains a single integer N (1 < N < 100 000) denoting the number of seedlings. Then a line with N integers t; follows (1 < t; <1000 000), where t; denotes the number of days it takes for the ith tree to grow.

Farmer Jon has recently bought n tree seedlings that he wants to plant in his yard. It takes 1 day for Jon to plant a /problems/plantingtrees/file/statement/er 0001.JPG seedlingt, and for each tree Jon knows exactly in how many days after planting it grows to full maturity. Jon would also like to throw a party for his farmer friends, but in order to impress them he would like to organize the party only after all the trees have grown. More precisely, the party can be organized at earliest on the next day after the last tree has grown up. Help Jon to find out when is the earliest day when the party can take place. Jon can choose the order of planting the trees as he likes, so he wants to plant the trees in such a way that the party will be as soon as possible. Input The input consists of two lines. The first line contains a single integer N (1 < N < 100 000) denoting the number of seedlings. Then a line with N integers t; follows (1 < t; <1000 000), where t; denotes the number of days it takes for the ith tree to grow.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter19: Probabilistic Dynamic Programming

Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations

Problem 7P

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