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Gym 100512G Grand Tour (拓扑排序)

2016-10-01 14:14 459 查看
题意:一个团队要去参观一些学校,某些学校要在某些学校之前先参观,并且每个学校有一个权值,团队去的时间与权值的差作为难过度(最小是0),

所有的难过度的最大值是伤心度,让你安排参观顺序,使得这个伤心度最小。

析:拓扑排序,并且要逆序排,这样的话,时间大的优先,可以用优先队列实现。

代码如下:

#pragma comment(linker, "/STACK:1024000000,1024000000")
#include <cstdio>
#include <string>
#include <cstdlib>
#include <cmath>
#include <iostream>
#include <cstring>
#include <set>
#include <queue>
#include <algorithm>
#include <vector>
#include <map>
#include <cctype>
#include <cmath>
#include <stack>
//#include <tr1/unordered_map>
#define freopenr freopen("in.txt", "r", stdin)
#define freopenw freopen("out.txt", "w", stdout)
using namespace std;
//using namespace std :: tr1;

typedef long long LL;
typedef pair<int, int> P;
const int INF = 0x3f3f3f3f;
const double inf = 0x3f3f3f3f3f3f;
const LL LNF = 0x3f3f3f3f3f3f;
const double PI = acos(-1.0);
const double eps = 1e-8;
const int maxn = 1e5 + 5;
const LL mod = 10000000000007;
const int N = 1e6 + 5;
const int dr[] = {-1, 0, 1, 0, 1, 1, -1, -1};
const int dc[] = {0, 1, 0, -1, 1, -1, 1, -1};
const char *Hex[] = {"0000", "0001", "0010", "0011", "0100", "0101", "0110", "0111", "1000", "1001", "1010", "1011", "1100", "1101", "1110", "1111"};
inline LL gcd(LL a, LL b){  return b == 0 ? a : gcd(b, a%b); }
int n, m;
const int mon[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
const int monn[] = {0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
inline int Min(int a, int b){ return a < b ? a : b; }
inline int Max(int a, int b){ return a > b ? a : b; }
inline LL Min(LL a, LL b){ return a < b ? a : b; }
inline LL Max(LL a, LL b){ return a > b ? a : b; }
inline bool is_in(int r, int c){
return r >= 0 && r < n && c >= 0 && c < m;
}
struct Node{
int id, val;
Node() { }
Node(int i, int v) : id(i), val(v) { }
bool operator < (const Node& p) const{
return val < p.val;
}
};
vector<int> G[maxn];
int in[maxn], a[maxn];
int ans[maxn];

int main(){
freopen("grand.in", "r", stdin);
freopen("grand.out", "w", stdout);
while(scanf("%d", &n) == 1 && n){
for(int i = 1; i <= n; ++i){ scanf("%d", a+i); G[i].clear();  }
scanf("%d", &m);
int u, v;
for(int i = 0; i < m; ++i){
scanf("%d %d", &u, &v);
G[v].push_back(u);
++in[u];
}

priority_queue<Node> pq;
for(int i = 1; i <= n; ++i)  if(!in[i])  pq.push(Node(i, a[i]));
int cnt = n, num = 0;
while(!pq.empty()){
Node u = pq.top();  pq.pop();
num = Max(num, Max(0, cnt-u.val));
ans[cnt--] = u.id;
int x = u.id;
for(int j = 0; j < G[x].size(); ++j){
int t = G[x][j];
--in[t];
if(!in[t])  pq.push(Node(t, a[t]));
}
}

printf("%d\n", num);
printf("%d", ans[1]);
for(int i = 2; i <= n; ++i)  printf(" %d", ans[i]);
printf("\n");
}
return 0;
}
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