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130725hdu杭电多校第二场解题报告

2018年02月21日 ⁄ 综合 ⁄ 共 4509字 ⁄ 字号 评论关闭

1002 Warm up

这题不难,关键是怎么去缩点和扩栈。


#include <cstdio>
#include <cstring>
#include <vector>
#include<queue>
#include<cmath>
#include <algorithm>
using namespace std;
#define MAXN 200006
#define MAXM 2000006
#pragma comment(linker, "/STACK:1024000000,1024000000")
struct node {
    int v, w, pre;
} edge[MAXM];
int pos[MAXN], nEdge; //图的存储:链式前向星(池子法)

struct Bridge {
    int u, v;
} bridge[MAXM];  //用来记录桥
int tot; //桥的个数

int fa[MAXN], cc; //fa:各个点所属的缩点(连通块),cc连通块的个数
int dfn[MAXN], low[MAXN], Time; //时间戳
int stack[MAXN], top;   //用于维护连通块的
int n, m;   //点的个数和边的条数

void connect(int u, int v, int w) {
    nEdge++;
    edge[nEdge].pre = pos[u];
    edge[nEdge].v = v;
    edge[nEdge].w = w;
    pos[u] = nEdge;
}
vector<int> graph[MAXN];
void tarjan(int cur, int from, int from_edge) {
    low[cur] = dfn[cur] = Time++;
    stack[++top] = cur;
    for (int p=pos[cur]; p; p=edge[p].pre) {
        int v = edge[p].v;
        if (v == from&&abs(p-from_edge)<=1) continue;  //注意一下这里
        if (!dfn[v]) {
            tarjan(v, cur, p);
            if (low[v] < low[cur]) low[cur] = low[v];
            if (low[v] > dfn[cur]) {
                bridge[tot].u = cur;
                bridge[tot++].v = v;
                cc++;
                graph[cc].clear();
                do {
                    fa[stack[top]] = cc;
                } while (stack[top--] != v);
            }
        } else if (low[cur] > dfn[v]) low[cur] = dfn[v];
    }
}
int bfs(int x,int flag)
{
    queue<int> q;
    int y;
    q.push(x);
    memset(dfn,0,sizeof(dfn));
    memset(low,0,sizeof(low));
    low[x]=0;
    dfn[x]=1;
    while(q.size()>0)
    {
        y=q.front();
   //     printf("%d\n",y);
        q.pop();
        for(int i=0;i<graph[y].size();i++)
        {
            int z=graph[y][i];
            if(!dfn[z])
            {
                dfn[z]=1;
                low[z]=low[y]+1;
                q.push(z);
            }
        }
    }
    if(flag)
    return y;
    return low[y];
}
int main() {
    while(scanf("%d%d", &n, &m),n+m)
    {
    memset(pos, 0, sizeof(pos));
    nEdge = 0;
    int u, v, w;
    for (int i=0; i<m; i++) {
        scanf("%d%d", &u, &v);
        connect(u, v, 1);
        connect(v, u, 1);
    }

    memset(dfn, 0, sizeof(dfn));
    memset(fa, -1, sizeof(fa));

    cc = tot = 0;
    for (int i=1; i<=n; i++)
        if (!dfn[i]) {
            top = Time = 1;
            tarjan(i, -1, -3);
            ++cc;
            graph[cc].clear();
            for (int j=1; j<=n; j++)
                if (dfn[j] && fa[j]==-1) fa[j] = cc;
        }
        for(int i=0;i<tot;i++)
        {
            graph[fa[bridge[i].u]].push_back(fa[bridge[i].v]);
            graph[fa[bridge[i].v]].push_back(fa[bridge[i].u]);
        }
        int y=bfs(1,1);
        int ans2=bfs(y,0);
      //  printf("%d %d\n",cc,ans2);
        printf("%d\n",cc-1-(ans2));
    }
    return 0;
}

1008 Palindrome Sub-Array

求n*m的矩阵中的回文方阵,由于写了四个for,所以很担心会超时,所以加了l判断长度来压缩时间,最后竟然压到了100ms,一种很开心的感觉。


#include <iostream>
#include <cstdio>
#include <cstring>
#include <cmath>
#include <string>
#include <algorithm>
#include <vector>
#include <queue>
#include <map>

using namespace std;

int s[305][305];
int n,m;
int l;
int ans;

int main()
{
    int t;
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d%d",&n,&m);
        for(int i=0; i<n; i++)
        {
            for(int j=0; j<m; j++)
            {
                scanf("%d",&s[i][j]);
            }
        }
        ans = 1;
        for(int i=0; i<n; i++)
        {
            for(int j=0; j<m; j++)
            {
                if(min(n-i,m-j) <= ans)
                {
                    break;
                }
                l = min(n-i,m-j);
                while(l > ans)//判断是否是回文方阵
                {
                    if(s[i][j]==s[i+l-1][j]&&s[i+l-1][j]==s[i][j+l-1]&&s[i][j+l-1]==s[i+l-1][j+l-1])
                    {
                        int q = 0;
                        for(int k = 1; k * 2 < l; k++)
                        {
                            if(s[i+k][j]==s[i+l-1-k][j]&&s[i+l-1-k][j]==s[i+k][j+l-1]&&s[i+k][j+l-1]==s[i+l-1-k][j+l-1])
                            {
                                if(s[i][j+k]==s[i+l-1][j+k]&&s[i+l-1][j+k]==s[i][j+l-1-k]&&s[i][j+l-1-k]==s[i+l-1][j+l-1-k])
                                {
                                    if(s[i+k][j+k]==s[i+l-1-k][j+k]&&s[i+l-1-k][j+k]==s[i+k][j+l-1-k]&&s[i+k][j+l-1-k]==s[i+l-1-k][j+l-1-k])
                                    {
                                        continue;
                                    }
                                    else
                                    {
                                        q = 1;
                                        break;
                                    }
                                }
                                else
                                {
                                    q = 1;
                                    break;
                                }
                            }
                            else
                            {
                                q = 1;
                                break;
                            }
                            for(int c = k - 1; c > 0; c--)
                            {
                                if(s[i+k][j+c]==s[i+l-1-k][j+c]&&s[i+l-1-k][j+c]==s[i+k][j+l-1-c]&&s[i+k][j+l-1-c]==s[i+l-1-k][j+l-1-c])
                                {
                                    if(s[i+c][j+k]==s[i+l-1-c][j+k]&&s[i+l-1-c][j+k]==s[i+c][j+l-1-k]&&s[i+c][j+l-1-k]==s[i+l-1-c][j+l-1-k])
                                    {
                                        continue;
                                    }
                                    else
                                    {
                                        q = 1;
                                        break;
                                    }
                                }
                                else
                                {
                                    q = 1;
                                    break;
                                }
                            }
                            if(q == 1)
                            {
                                break;
                            }
                        }
                        if(q == 0)
                        {
                            ans = l;
                            //cout<<i<<' '<<j<<' '<<l<<'c'<<endl;
                        }
                    }
                    l--;
                }
            }
        }
        printf("%d\n",ans);
    }
    return 0;
}

1009 Warm up 2

本场最水的一道题,不多说了。


#include <iostream>
#include <cstdio>
#include <algorithm>
#include <string>
#include <cmath>
#include <cstring>
#include <queue>
#include <set>
#include <vector>
#include <stack>
#include <map>
#include <iomanip>
#define PI acos(-1.0)
#define Max 2505
#define inf 1<<28
#define LL(x) ( x << 1 )
#define RR(x) ( x << 1 | 1 )
#define REP(i,s,t) for( int i = ( s ) ; i <= ( t ) ; ++ i )
#define ll long long
#define mem(a,b) memset(a,b,sizeof(a))
#define mp(a,b) make_pair(a,b)
#define PII pair<int,int>
using namespace std;


inline void RD(int &ret) {
    char c;
    do {
        c = getchar();
    } while(c < '0' || c > '9') ;
    ret = c - '0';
    while((c=getchar()) >= '0' && c <= '9')
        ret = ret * 10 + ( c - '0' );
}
int Map[1111][1111] ;
int link[1111] ;
bool vis[1111] ;
int n , m ,s, v;
int dfs(int now)
{
    for (int i = 1 ;i <= m ;i ++)
    {
        if(Map[now][i])
        if(!vis[i])
        {
            vis[i] = 1 ;
            if(link[i] == -1 || dfs(link[i]))
            {
                link[i] = now ;
                return 1 ;
            }
        }
    }
    return 0 ;
}

int x1[1111], y1[1111] ;
int x2[11111],y2[1111] ;
bool check(int i , int j){
    if(x1[i] <= x2[j] && x2[j] <= x1[i] + 1){
        if(y2[j] <= y1[i] && y2[j] + 1 >= y1[i]){
            return 1 ;
        }
    }
    return 0 ;
}
int main() {

    while(scanf("%d%d",&n,&m) , (n +  m)){
        mem(Map,0) ;
        mem(link , -1) ;
        for (int i = 1 ; i <= n ;i ++ ){
            scanf("%d%d",&x1[i] ,&y1[i]) ;
        }
        for (int i = 1 ; i <= m ;i ++ ){
            scanf("%d%d",&x2[i] , &y2[i]) ;
        }
        for (int i = 1 ; i <= n ; i ++ ){
            for (int j = 1 ; j <= m ;j ++ ){
                Map[i][j] = check(i , j ) ;
            }
        }
        int ans = 0 ;
        for (int i = 1 ; i <= n ;i ++){
            mem(vis, 0 ) ;
            ans += dfs(i) ;
        }
        cout << n + m - ans << endl;
    }
    return 0 ;
}

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