hdu 3237
2024-09-08 15:37:57
dp 状态压缩
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <vector>
#include <sstream>
#include <string>
#include <cstring>
#include <algorithm>
#include <iostream>
#define maxn 105
#define INF 0x3f3f3f3f
#define inf 10000000
#define MOD 100000000
#define ULL unsigned long long
#define LL long long using namespace std; int hi[maxn], dp[2][maxn][1<<9][10], n, m, one[1<<9], mh, begin; int countone(int x) {
int ans = 0;
for(int i = 0; i < 8; ++ i)
if(x&(1<<i)) ans ++;
return ans;
} void init() {
begin = mh = 0;
for(int i = 0; i < (1 << 8); ++ i) {
one[i] = countone(i);
}
} int main()
{
int ca = 0;
init();
while(scanf("%d%d", &n, &m) == 2 && n+m) {
// printf("ff: %d\n", num);
begin = mh = 0;
for(int i = 0; i < n; ++ i) {
scanf("%d", &hi[i]);
hi[i] -= 25;
mh = max(hi[i], mh);
begin |= (1 << hi[i]);
}
mh ++;
int tot = 1<<mh;
for(int i = 0; i <= m; ++ i) {
for(int j = 0; j < tot; ++ j) {
for(int k = 0; k <= mh; ++ k) {
dp[0][i][j][k] = INF;
}
}
} dp[0][0][1<<hi[0]][hi[0]] = 1;
dp[0][1][0][mh] = 0;
int now, pre;
for(int i = 1; i < n; ++ i) {
now = i%2;
pre = 1-now; for(int j = 0; j <= m && j <= i+1; ++ j) {
for(int k = 0; k < tot; ++ k) {
for(int q = 0; q <= mh; ++ q) {
dp[now][j][k][q] = INF;
}
}
} for(int j = 0; j <= m && j <= i; ++ j) {
for(int k = 0; k < tot; ++ k) {
for(int q = 0; q <= mh; ++ q) {
if(dp[pre][j][k][q] == INF) continue;
int nowk = k|(1<<hi[i]);
if(j < m) dp[now][j+1][k][q] = min(dp[now][j+1][k][q], dp[pre][j][k][q]);
if(hi[i] == q) {
dp[now][j][k][q] = min(dp[now][j][k][q], dp[pre][j][k][q]);
}
else {
dp[now][j][nowk][hi[i]] = min(dp[now][j][nowk][hi[i]], dp[pre][j][k][q]+1);
}
}
}
}
} int ans = n;
for(int i = 0; i <= m; ++ i) {
for(int j = 0; j < tot; ++ j) {
for(int k = 0; k < mh; ++ k) {
int st = begin^j;
ans = min(ans, one[st]+dp[now][i][j][k]);
}
}
} printf("Case %d: %d\n\n", ++ca, ans);
}
return 0;
}
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