HDU 2647 Reward
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Reward
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 10379 Accepted Submission(s): 3319
Problem Description
Dandelion’s uncle is a boss of a factory. As the spring festival is coming , he wants to distribute rewards to his workers. Now he has a trouble about how to distribute the rewards.
The workers will compare their rewards ,and some one may have demands of the distributing of rewards ,just like a’s reward should more than b’s.Dandelion’s unclue wants to fulfill all the demands, of course ,he wants to use the least money.Every work’s reward will be at least 888 , because it’s a lucky number.
Input
One line with two integers n and m ,stands for the number of works and the number of demands .(n<=10000,m<=20000)
then m lines ,each line contains two integers a and b ,stands for a’s reward should be more than b’s.
Output
For every case ,print the least money dandelion ‘s uncle needs to distribute .If it’s impossible to fulfill all the works’ demands ,print -1.
Sample Input
2 11 22 21 22 1
Sample Output
1777-1
Author
dandelion
Source
曾是惊鸿照影来
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题意
n个人,m个关系。例如a b,意思是a要比b拿的钱多(其实多一块钱就行了)。问最少需要多少钱。如果存在环,就输出-1。
解题思路
很容易想到拓扑排序。这里我加了个等级数组,每次在节点入队的时候就可以初始化其对应的等级,拓扑排序结束后先判断是否存在环,若不存在直接求出等级和就行了。
代码
#include<stdio.h>#include<iostream>#include<vector>#include<queue>#include<string.h>using namespace std;#define maxn 10005#define inf 0x3f3f3f3fint in[maxn],lev[maxn];vector<int> v[maxn];int main(){ //freopen("in.txt","r",stdin); int n,m; while(~scanf("%d%d",&n,&m)) { int a,b; memset(in,0,sizeof(in)); memset(lev,0,sizeof(lev)); for(int i=1; i<=n; i++) v[i].clear(); for(int i=0; i<m; i++) { scanf("%d%d",&a,&b); v[b].push_back(a); // in[a]++; } queue<int> q; for(int i=1; i<=n; i++) if(!in[i]) { q.push(i); lev[i]=0; } while(!q.empty()) { int x=q.front(); q.pop(); for(int i=0; i<v[x].size(); i++) { int y=v[x][i]; in[y]--; if(!in[y]) { q.push(y); lev[y]=lev[x]+1; } } } int flag=0; for(int i=1; i<=n; i++) if(in[i]) { flag=1; break; } if(flag) puts("-1"); else { long long sum=0; for(int i=1; i<=n; i++) sum+=lev[i]; printf("%lld\n",sum+888*n); } } return 0;}
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