poj 2392 Space Elevator
2014-08-07 21:37
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Description
The cows are going to space! They plan to achieve orbit by building a sort of space elevator: a giant tower of blocks. They have K (1 <= K <= 400) different types of blocks with which to build the tower. Each block of type i has
height h_i (1 <= h_i <= 100) and is available in quantity c_i (1 <= c_i <= 10). Due to possible damage caused by cosmic rays, no part of a block of type i can exceed a maximum altitude a_i (1 <= a_i <= 40000).
Help the cows build the tallest space elevator possible by stacking blocks on top of each other according to the rules.
Input
* Line 1: A single integer, K
* Lines 2..K+1: Each line contains three space-separated integers: h_i, a_i, and c_i. Line i+1 describes block type i.
Output
* Line 1: A single integer H, the maximum height of a tower that can be built
http://poj.org/problem?id=2392
代码:多重背包
The cows are going to space! They plan to achieve orbit by building a sort of space elevator: a giant tower of blocks. They have K (1 <= K <= 400) different types of blocks with which to build the tower. Each block of type i has
height h_i (1 <= h_i <= 100) and is available in quantity c_i (1 <= c_i <= 10). Due to possible damage caused by cosmic rays, no part of a block of type i can exceed a maximum altitude a_i (1 <= a_i <= 40000).
Help the cows build the tallest space elevator possible by stacking blocks on top of each other according to the rules.
Input
* Line 1: A single integer, K
* Lines 2..K+1: Each line contains three space-separated integers: h_i, a_i, and c_i. Line i+1 describes block type i.
Output
* Line 1: A single integer H, the maximum height of a tower that can be built
http://poj.org/problem?id=2392
代码:多重背包
#include<stdio.h> #include<stdlib.h> #include<string.h> #define max 40010 #define Max(a,b) a > b ? a : b #define Min(a,b) a < b ? a : b typedef struct a { int height; int altitude; int count; }Block; Block block[max]; int dp[max]; int cmp(const void *a, const void *b) { Block *blocka = (Block *)a; Block *blockb = (Block *)b; if(blocka->altitude != blockb->altitude) return blocka->altitude - blockb->altitude; } int main() { int k; while(scanf("%d",&k) != EOF) { memset(dp,0,sizeof(0)); for(int i = 0; i < k; i++) scanf("%d %d %d",&block[i].height,&block[i].altitude,&block[i].count); qsort(block,k,sizeof(block[0]),cmp); for(int i = 0; i < k; i++) { for(int m = 1; m <= block[i].count; m++) for(int j = block[i].altitude; j >= block[i].height; j--) { dp[j] = Max(dp[j],dp[j - block[i].height] + block[i].height); } } int max_H = 0; for(int i = 0; i <= block[k - 1].altitude; i++) max_H = Max(max_H, dp[i]); printf("%d\n",max_H); } }
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