演算法 | 0-1揹包
阿新 • • 發佈:2018-11-07
#include<stdio.h> #include<string.h> #define MaxN 10000 #define MaxC 10000 int Val[MaxN][MaxN]; double binaryKnapsack(int numItems, int *w,int *v, int capacity) { int i, j; for(i = 1; i <= numItems; ++i) { for(j = 1; j <= capacity; j++) { if(j < w[i-1]) { Val[i][j] = Val[i-1][j]; continue; } if( (Val[i-1][j-w[i-1]] + v[i-1]) >Val[i-1][j]) { Val[i][j] = (Val[i-1][j-w[i-1]] + v[i-1]); } else { Val[i][j] = Val[i-1][j]; } } } /** for (i = 0; i < numItems; ++i) for (j = capacity; j >= 0; j--) if (j >= w[i] && Val[j] < Val[j - w[i]] + v[i]) Val[j] = Val[j - w[i]] + v[i]; return Val[capacity]; **/ return Val[numItems][capacity]; } int main() { int i, n, C, w[MaxN]; int v[MaxN]; int flag[MaxN]; int ans; while (scanf("%d%d", &C, &n) != EOF) { for (i = 0; i < n; ++i) scanf("%d", &w[i]); for (i = 0; i < n; ++i) scanf("%d", &v[i]); ans = binaryKnapsack(n, w, v, C); printf("%d", ans); int j = C; memset(flag, 0, sizeof(flag)); for(int i = n; i > 0; i-- ) { if(Val[i][j] > Val[i-1][j]) { flag[i] = 1; j = j - w[i-1]; if(j < 0) break; } } for(int i = 1; i <= n; i++) { printf(" %d",flag[i]); } printf("\n"); } return 0; }