Hawk-and-Chicken
Time Limit: 6000/2000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 1562 Accepted Submission(s): 440
Problem Description Kids in kindergarten enjoy playing a game called Hawk-and-Chicken. But there always exists a big problem: every kid in this game want to play the role of Hawk.
So the teacher came up with an idea: Vote. Every child have some nice handkerchiefs, and if he/she think someone is suitable for the role of Hawk, he/she gives a handkerchief to this kid, which means this kid who is given the handkerchief win the support. Note the support can be transmitted. Kids who get the most supports win in the vote and able to play the role of Hawk.(A note:if A can win
support from B(A != B) A can win only one support from B in any case the number of the supports transmitted from B to A are many. And A can't win the support from himself in any case.
Here's a sample: 3 kids A, B and C, A gives a handkerchief to B, B gives a handkerchief to C, so C wins 2 supports and he is choosen to be the Hawk. Input There are several test cases. First is a integer T(T <= 50), means the number of test cases.
Each test case start with two integer n, m in a line (2 <= n <= 5000, 0
2 4 3 3 2 2 0 2 1 3 3 1 0 2 1 0 2Sample Output
Case 1: 2 0 1 Case 2: 2 0 1 2Author Dragon Source 2010 ACM-ICPC Multi-University Training Contest(19)――Host by HDU
#include#include #include #include #include #include #include #define DEBUG 10 using namespace std; const int maxn = 5000+10;// vertex. const int maxm = 30000+10; // edges. int gn, gm; //Accepted 3639 562MS 1508K 4225 B G++ Achiberx vector G[maxn], G2[maxn]; vector G3[maxn]; // reverse graph of G2. vector result[maxn]; bool vis[maxn]; // for dfs2. int weight[maxn];// the number of vertex of every scc. int pre[maxn], lowlink[maxn], sccno[maxn]; int dfs_clock, scc_cnt; stack S; void dfs(int u) { pre[u] = lowlink[u] = ++dfs_clock; S.push(u); for(int i = 0; i < (int)G[u].size(); i++) { int v = G[u][i]; if(!pre[v]) { dfs(v); lowlink[u] = min(lowlink[v], lowlink[u]); } else if(!sccno[v]) { lowlink[u] = min(lowlink[u], pre[v]); } } if(lowlink[u] == pre[u]) { scc_cnt++; for(;;) { int x = S.top(); S.pop(); sccno[x] = scc_cnt; if(x == u) break; } } } void find_scc(int n) { dfs_clock = scc_cnt = 0; memset(sccno, 0, sizeof(sccno)); memset(pre, 0, sizeof(pre)); for(int i = 0; i < n; i++) { // from 0 to n-1. if(!pre[i]) dfs(i); } } void build_map() { memset(weight, 0, sizeof(weight)); for(int i = 0; i < gn; i++) { int u = sccno[i]; weight[u] += 1; } for(int i = 0; i < maxn; i++) { G2[i].clear(); G3[i].clear(); } for(int i = 0; i < gn; i++) { for(int j = 0; j < (int)G[i].size(); j++) { int v = G[i][j]; if(sccno[i] != sccno[v]) { G2[sccno[i]].push_back(sccno[v]); G3[sccno[v]].push_back(sccno[i]);// reverse graph of G2. } } } } int dfs2(int u) { if(vis[u]) return 0; int total = 0; vis[u] = true; for(int i = 0; i < (int)G3[u].size(); i++) { int v = G3[u][i]; total += dfs2(v); } if(!G3[u].size()) return weight[u];// leaf node. else return total + weight[u]; } int main() { //freopen("in", "r", stdin); int T, cas = 0; int u, v; // for input. scanf("%d", &T); while(T--) { for(int i = 0; i < maxn; i++) G[i].clear(); scanf("%d%d", &gn, &gm); for(int i = 0; i < gm; i++) { scanf("%d%d", &u, &v); G[u].push_back(v); } find_scc(gn); build_map(); for(int i = 0; i < maxn; i++) result[i].clear(); for(int i = 1; i <= scc_cnt; i++) { if((int)G2[i].size() == 0) { // the outdegree equal 0 of G2. memset(vis, false, sizeof(vis)); int amount = dfs2(i); result[amount-1].push_back(i); } } int maxv; for(int i = gn; i >= 0; i--) { if(result[i].size() != 0) { maxv = i; break; } } printf("Case %d: %d\n", ++cas, maxv); int Size = result[maxv].size(); vector V; V.clear(); for(int i = 0; i < Size; i++) { for(int j = 0; j < gn; j++) { if(sccno[j] == result[maxv][i]) { V.push_back(j); } } } sort(V.begin(), V.end()); Size = V.size(); if(Size==1) { printf("%d\n", V[0]); } else { for(int i = 0; i < Size-1; i++) { printf("%d ", V[i]); } printf("%d\n", V[Size-1]); } } return 0; }