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July 31, 2018 10:48
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背包九讲之完全背包,恰好装满,一维(滚动)数组
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/* | |
* 背包九讲之完全背包 恰好装满 滚动数组 | |
* from: http://acm.hdu.edu.cn/showproblem.php?pid=1114 | |
* reference: https://blog.csdn.net/liujc_/article/details/44003167 | |
*/ | |
#include <bits/stdc++.h> | |
#define PMAX 1000000001 | |
using namespace std; | |
/* | |
* d[i] = min{ d[i], d[i-V[j]] + W[j] } | |
*/ | |
int piggy_bank(int P[], int W[], int n, int V) { | |
int *d = new int[V+1]; | |
int w; | |
for (int i = 0; i <= V; i++) { | |
if (i == 0) | |
d[i] = 0; | |
else | |
d[i] = PMAX; | |
} | |
for (int i = 0; i < n; i++) { | |
for (int j = 1; j <= V; j++) { | |
if (j >= W[i]) { | |
w = d[j-W[i]] + P[i]; | |
d[j] = d[j] < w ? d[j] : w; | |
} else { | |
d[j] = d[j]; | |
} | |
} | |
} | |
w = d[V]; | |
delete d; | |
return w; | |
} | |
int main() { | |
int T; | |
cin >> T; | |
while (T--) { | |
int E, F, N, d; | |
int *P, *W; | |
cin >> E >> F; | |
cin >> N; | |
P = new int[N]; | |
W = new int[N]; | |
for (int i = 0; i < N; i++) | |
cin >> P[i] >> W[i]; | |
d = piggy_bank(P, W, N, F-E); | |
if (d != PMAX) | |
cout << "The minimum amount of money in the piggy-bank is " << d << "." << endl; | |
else | |
cout << "This is impossible." << endl; | |
} | |
return 0; | |
} |
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