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P276 软件补丁问题

P276 软件补丁问题

题面

题目链接

解法

这题不是网络流!

状压+最短路即可。

AC代码

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/**
* @file: P2761.cpp
* @author: yaoxi-std
* @url: https://www.luogu.com.cn/problem/P2761
*/
// #pragma GCC optimize ("O2")
// #pragma GCC optimize ("Ofast", "inline", "-ffast-math")
// #pragma GCC target ("avx,sse2,sse3,sse4,mmx")
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define resetIO(x) \
freopen(#x ".in", "r", stdin), freopen(#x ".out", "w", stdout)
#define debug(fmt, ...) \
fprintf(stderr, "[%s:%d] " fmt "\n", __FILE__, __LINE__, ##__VA_ARGS__)
template <class _Tp>
inline _Tp& read(_Tp &x) {
bool sign = false;
char ch = getchar();
long double tmp = 1;
for (; !isdigit(ch); ch = getchar())
sign |= (ch == '-');
for (x = 0; isdigit(ch); ch = getchar())
x = x * 10 + (ch ^ 48);
if (ch == '.')
for (ch = getchar(); isdigit(ch); ch = getchar())
tmp /= 10.0, x += tmp * (ch ^ 48);
return sign ? (x = -x) : x;
}
template <class _Tp>
inline void write(_Tp x) {
if (x < 0)
putchar('-'), x = -x;
if (x > 9)
write(x / 10);
putchar((x % 10) ^ 48);
}
const int MAXN = 200;
const int MAXM = 1 << 20;
const int INF = 0x3f3f3f3f3f3f3f3f;
struct node {
int u, dis;
bool operator<(const node &o) const {
return dis > o.dis;
}
};
struct bugfix {
int c, b1, b2, f1, f2;
};
int n, m, dis[MAXM];
bugfix g[MAXN];
char buf[MAXN];
priority_queue<node> que;
signed main() {
read(n), read(m);
for (int i = 1; i <= m; ++i) {
read(g[i].c);
scanf("%s", buf);
for (int j = 0; j < n; ++j) {
if (buf[j] == '+')
g[i].b1 |= (1 << j);
if (buf[j] == '-')
g[i].b2 |= (1 << j);
}
scanf("%s", buf);
for (int j = 0; j < n; ++j) {
if (buf[j] == '-')
g[i].f1 |= (1 << j);
if (buf[j] == '+')
g[i].f2 |= (1 << j);
}
}
memset(dis, 0x3f, sizeof(dis));
dis[(1 << n) - 1] = 0;
que.push({(1 << n) - 1, 0ll});
while (!que.empty()) {
node t = que.top();
que.pop();
if (dis[t.u] < t.dis)
continue;
int u = t.u, d = t.dis;
for (int i = 1; i <= m; ++i) {
bugfix& b = g[i];
if ((u & b.b1) == b.b1 && (u & b.b2) == 0) {
int v = (u & (~b.f1)) | b.f2;
if (dis[v] > dis[u] + b.c) {
dis[v] = dis[u] + b.c;
que.push({v, dis[v]});
}
}
}
}
if (dis[0] == INF)
puts("0");
else
write(dis[0]), putchar('\n');
return 0;
}