hdu 2389 Rain on your Parade (二分匹配 Hc 算法)
2015-01-26 11:25
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题目链锁 http://acm.hdu.edu.cn/showproblem.php?pid=2389
先生成最短增广路,在此基础进行增广,复杂度sqrt(n)*e
先生成最短增广路,在此基础进行增广,复杂度sqrt(n)*e
#include<iostream> #include<cstring> #include<string> #include<cstdio> #include<stdio.h> #include<algorithm> #include<cmath> #include<set> #include<map> #include<queue> #include<vector> using namespace std; #define inf 0x3f3f3f3f #define eps 1e-9 #define mod 1000000007 #define FOR(i,s,t) for(int i = s; i < t; ++i ) #define REP(i,s,t) for( int i = s; i <= t; ++i ) #define LL long long #define ULL unsigned long long #define pii pair<int,int> #define MP make_pair #define lson id << 1 , l , m #define rson id << 1 | 1 , m + 1 , r #define maxn ( 3000+10 ) #define maxe ( 50000+10 ) struct node { int x, y; int dis ( node ot ) { return ( x - ot.x ) * ( x - ot.x ) + ( y - ot.y ) * ( y - ot.y ); } }g[maxn], u[maxn]; int sp[maxn]; int G[maxn][maxn]; int mx[maxn], my[maxn], dx[maxn], dy[maxn]; int dis, nx, ny; int Q[maxn*2]; bool vis[maxn]; bool search() { memset( dx, -1, sizeof( dx ) ); memset( dy, -1, sizeof( dy ) ); dis = inf; int head = 0, tail = 0; for( int i = 0; i < nx; ++i ) { if( mx[i] == -1 ) Q[tail ++] = i, dx[i] = 0; } while( head < tail ) { int u = Q[head++]; if( dx[u] > dis ) break; for( int v = 0; v < ny; ++v ) if( G[u][v] && dy[v] == -1 ) { dy[v] = dx[u] + 1; if( my[v] == -1 ) dis = dy[v]; else { dx[my[v]] = dy[v] + 1; Q[tail++] = my[v]; } } } return dis != inf; } bool dfs ( int u ) { for( int i = 0; i < ny; ++i ) if( G[u][i] && !vis[i] && dy[i] == dx[u] + 1 ) { vis[i] =1; if( my[i] != -1 && dis == dy[i] ) continue; if( my[i] == -1 || dfs( my[i] ) ) { my[i] = u; mx[u] = i; return 1; } } return 0; } int match() { int res = 0; memset( mx, -1, sizeof( mx) ); memset( my, -1, sizeof( my ) ); while( search() ) { memset( vis, 0, sizeof( vis ) ); for( int i= 0; i < nx; ++i ) if( mx[i] == -1 && dfs( i ) ) ++res; } return res; } int main () { int T; scanf("%d", &T ); int cas = 1; for( cas = 1; cas <= T; ++cas ) { int n, m, t; scanf("%d%d", &t, &m ) ; for( int i = 0; i < m; ++i ) { scanf("%d%d%d", &g[i].x, &g[i].y, &sp[i] ); } scanf("%d", &n ); for( int i = 0; i < n; ++i ) { scanf("%d%d", &u[i].x, &u[i].y ); } memset( G, 0, sizeof( G ) ); for( int i = 0; i < m; ++i ) { for( int j = 0; j < n; ++j ) { if( g[i].dis( u[j] ) <= ( sp[i] * t ) * ( sp[i] * t ) ) G[i][j] = 1; } } nx = m, ny = n; printf("Scenario #%d:\n", cas ); printf("%d\n\n", match() ); } }
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