初看01背包,果断TLE。是因为n和C都比较大。但是vi和ci却很小,转化为多重背包。
1 #include <cstdio> 2 #include <cstring> 3 4 int map[15][15]; 5 int dp[10005]; 6 int n, C; 7 8 int max(int a, int b) { 9 return a>b ? a:b; 10 } 11 12 void ZeroOnePack(int v, int c) { 13 for (int i=C; i>=c; --i) 14 dp[i] = max(dp[i-c]+v, dp[i]); 15 } 16 17 void CompeletePack(int v, int c) { 18 for (int i=c; i<=C; ++i) 19 dp[i] = max(dp[i-c]+v, dp[i]); 20 } 21 22 void MultiPack(int v, int c, int k) { 23 if (c*k >= C) { 24 CompeletePack(v, c); 25 return ; 26 } 27 int r = 1; 28 while (r < k) { 29 ZeroOnePack(r*v, r*c); 30 k = k - r; 31 r <<= 1; 32 } 33 ZeroOnePack(k*v, k*c); 34 } 35 36 int main() { 37 int v, c; 38 char s[15]; 39 int i, j; 40 41 while (scanf("%d %d", &n, &C) != EOF) { 42 memset(map, 0, sizeof(map)); 43 memset(dp, 0, sizeof(dp)); 44 for (i=0; i<n; ++i) { 45 scanf("%s %d %d", s, &v, &c); 46 map[v][c]++; 47 } 48 for (i=1; i<=10; ++i) { 49 for (j=0; j<=10; ++j) { 50 if (map[i][j]) 51 MultiPack(i, j, map[i][j]); 52 } 53 } 54 printf("%d\n", dp[C]); 55 } 56 57 return 0; 58 }
时间: 2024-10-08 09:04:12