bzoj2303
并查集+數學
這道題網上好像有兩種解法。
這位寫的很可讀:http://blog.csdn.net/unicornt_/article/details/51901225
然后看完大概就懂了做法,但是實現上還有很多細小的地方。
cnt要-1,因為第一行和第一列會算兩次。
數組要開四倍。
至于為什么要拆成兩個點,這是因為分開考慮01.
為什么兩個flag都要賦值?因為有可能根是放在列上了,就判不到了。
還需要思考一下。
#include<bits/stdc++.h> using namespace std; typedef long long ll; const int N = 1001000; const ll mod = 1000000000; struct dsu {int fa[N * 4];void ini(int n){for(int i = 1; i <= n; ++i)fa[i] = i;}int find(int x){return x == fa[x] ? x : fa[x] = find(fa[x]);}void connect(int x, int y){fa[find(x)] = find(y);}bool same(int x, int y){return find(x) == find(y);} } u; int n, m, k, s = -1; int x[N], y[N], c[N]; ll ans; bool flag[N * 4]; ll power(ll x, ll t) {ll ret = 1;for(; t; t >>= 1, x = x * x % mod) if(t & 1) ret = ret * x % mod;return ret; } void solve(int s) {u.ini(2 * n + 2 * m + 100);u.connect(2, 2 + 2 * n);u.connect(3, 2 + 2 * n + 1);for(int i = 1; i <= k; ++i){int p = 0;if(x[i] % 2 == 0 && y[i] % 2 == 0) p = 1;p = p ^ c[i] ^ s;if(p){u.connect(x[i] * 2, y[i] * 2 + 1 + 2 * n);u.connect(x[i] * 2 + 1, y[i] * 2 + 2 * n);}else{u.connect(x[i] * 2, y[i] * 2 + 2 * n);u.connect(x[i] * 2 + 1, y[i] * 2 + 2 * n + 1);}}int cnt = 0;memset(flag, 0, sizeof(flag));for(int i = 1; i <= n; ++i){if(u.same(i * 2, i * 2 + 1))return;if(!flag[u.find(i * 2)]){flag[u.find(i * 2)] = flag[u.find(i * 2 + 1)] = 1;++cnt;}}for(int i = 1; i <= m; ++i){if(u.same(i * 2 + 2 * n, i * 2 + 2 * n + 1))return;if(!flag[u.find(i * 2 + 2 * n)]){flag[u.find(i * 2 + 2 * n)] = flag[u.find(i * 2 + 2 * n + 1)] = 1;++cnt;}}ans = (ans + power(2ll, cnt - 1)) % mod; } int main() {scanf("%d%d%d", &n, &m, &k);for(int i = 1; i <= k; ++i){scanf("%d%d%d", &x[i], &y[i], &c[i]);if(x[i] == 1 && y[i] == 1) s = c[i];}if(s != 1) solve(0);if(s != 0) solve(1);printf("%lld\n", ans);return 0; } View Code?
轉載于:https://www.cnblogs.com/19992147orz/p/7091382.html
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