Red Huang

Red Huang

Codeforces Round #179 (Div. 2) D. Greg and Graph

Tendency towards thinking problems

The problem seems complicated, but you can think about the principle of Floyd

It enumerates the intermediate points, and then compares them pairwise to get the shortest one

And this problem can be seen as an empty graph with one point added at a time

Then take that point as the intermediate point to do Floyd

So Floyd only needs to be done once to get it done

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#include <iostream>  
#include <cstdio>  
#include <cstring>  
#include <algorithm>  
#include <cmath>  
#include <climits>  
#include <vector>  
#include <set>  
#include <map>  
#include <queue>  
#include <cctype>  
#include <utility>  
#include <ctime>  
using namespace std;  
#ifdef DEBUG  
#define VAR(a,b) decltype(b) a=(b)  
#define debug(...) printf("DEBUG: "),printf(\_\_VA\_ARGS\_\_)  
#define gettime() end\_time=clock();printf("now running time is %.7f\\n",(float)(end\_time - start\_time)/CLOCKS\_PER\_SEC);  
#else  
#define VAR(a,b) \_\_typeof(b) a=(b)  
#define debug(...)  
#define gettime()  
#endif  
typedef unsigned int uint;  
typedef long long int Int;  
typedef unsigned long long int UInt;  
#define Set(a,s) memset(a,s,sizeof(a))  
#define Write(w) freopen(w,"w",stdout)  
#define Read(r) freopen(r,"r",stdin)  
#define Pln() printf("\\n")  
#define I\_de(x,n)for(int i=0;i<n;i++)printf("%d ",x\[i\]);Pln()  
#define De(x)printf(#x"%d\\n",x)  
#define For(i,x)for(int i=0;i<x;i++)  
#define CON(x,y) x##y  
#define Pmz(dp,nx,ny)for(int hty=0;hty<ny;hty++){for(int htx=0;htx<nx;htx++){\\  
    printf("%d ",dp\[htx\]\[hty\]);}Pln();}  
#define M 505  
#define PII pair<int,int\>  
#define PB push\_back  
#define oo INT\_MAX  
#define Set\_oo 0x3f  
#define FOR(a,b) for(VAR(a,(b).begin());a!=(b).end();++a)  
#define eps 1e-6  
#define X first  
#define Y second  
clock\_t start\_time=clock(), end\_time;  
bool xdy(double x,double y){return x>y+eps;}  
bool xddy(double x,double y){return x>y-eps;}  
bool xcy(double x,double y){return x<y-eps;}  
bool xcdy(double x,double y){return x<y+eps;}  
int min3(int x,int y,int z){  
    int tmp=min(x,y);  
    return min(tmp,z);  
}  
int max3(int x,int y,int z){  
    int tmp=max(x,y);  
    return max(tmp,z);  
}  
int n;  
Int mz\[M\]\[M\];  
int del\[M\];  
Int ans\[M\];  
int vis\[M\];  
int main() {  
    ios\_base::sync\_with\_stdio(0);  
    while(~scanf("%d",&n)){  
        for(int i=1;i<=n;i++){  
            for(int j=1;j<=n;j++)scanf("%I64d",&mz\[i\]\[j\]);  
        }  
        for(int i=1;i<=n;i++)scanf("%d",&del\[i\]);  
        for(int k=n;k>=1;k--){  
            vis\[del\[k\]\]=1;  
            for(int i=1;i<=n;i++){  
                for(int j=1;j<=n;j++){  
                    mz\[i\]\[j\]=min(mz\[i\]\[j\],mz\[i\]\[del\[k\]\]+mz\[del\[k\]\]\[j\]);  
                }  
            }  
            Int dis=0;  
            for(int i=1;i<=n;i++){  
                for(int j=1;j<=n;j++){  
                    if(!vis\[i\]||!vis\[j\])continue;  
                    dis+=mz\[i\]\[j\];  
                }  
            }  
            ans\[k\]=dis;  
        }  
        for(int i=1;i<=n;i++)printf("%I64d ",ans\[i\]);  
        Pln();  
  
    }  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
}  

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