CodeForces 15D Map 单调队列优化

两次单调队列求出每个子矩阵的最小值，区间减法求出每个子矩阵的和，然后丢到优先队列里跑出来就好了。

写锉了，加了读入挂才过。

#include <algorithm>
#include <iostream>
#include <cstring>
#include <cstdlib>
#include <cstdio>
#include <queue>
#include <cmath>
#include <stack>
#include <map>
#include <ctime>
#include <iomanip>

#pragma comment(linker, "/STACK:1024000000");
#define EPS (1e-6)
#define LL long long
#define ULL unsigned long long
#define _LL __int64
#define INF 0x3f3f3f3f
#define Mod 1000000007

/** I/O Accelerator Interface .. **/
#define g (c=getchar())
#define d isdigit(g)
#define p x=x*10+c-'0'
#define n x=x*10+'0'-c
#define pp l/=10,p
#define nn l/=10,n
template<class T> inline T& RD(T &x)
{
    char c;
    while(!d);
    x=c-'0';
    while(d)p;
    return x;
}
template<class T> inline T& RDD(T &x)
{
    char c;
    while(g,c!='-'&&!isdigit(c));
    if (c=='-')
    {
        x='0'-g;
        while(d)n;
    }
    else
    {
        x=c-'0';
        while(d)p;
    }
    return x;
}
inline double& RF(double &x)      //scanf("%lf", &x);
{
    char c;
    while(g,c!='-'&&c!='.'&&!isdigit(c));
    if(c=='-')if(g=='.')
        {
            x=0;
            double l=1;
            while(d)nn;
            x*=l;
        }
        else
        {
            x='0'-c;
            while(d)n;
            if(c=='.')
            {
                double l=1;
                while(d)nn;
                x*=l;
            }
        }
    else if(c=='.')
    {
        x=0;
        double l=1;
        while(d)pp;
        x*=l;
    }
    else
    {
        x=c-'0';
        while(d)p;
        if(c=='.')
        {
            double l=1;
            while(d)pp;
            x*=l;
        }
    }
    return x;
}
#undef nn
#undef pp
#undef n
#undef p
#undef d
#undef g
using namespace std;

const int BLOCK = sqrt(1000.0);

LL Map[1010][1010];

bool mark[1010][1010];

LL ans[1010][1010] = {0};

LL Min[1010][1010];

struct N
{
    int x,y;
    LL val;
    bool operator < (const N &a) const
    {
        if(val != a.val)
            return a.val < val;
        if(x != a.x)
            return a.x < x;
        return a.y < y;
    }
} tmp;

int x[1000100],y[1000100];
LL val[1000100];

priority_queue<N> q;

int que[1010];

void CalMin(int n,int m,int a,int b)
{
    int i,j,S,E;

    for(i = 1; i <= n; ++i)
    {
        S = 0,E = 0;
        for(j = m; j >= 1; --j)
        {
            while(E > S && Map[i][que[E-1]] > Map[i][j])
                E--;
            que[E++] = j;
            while(S < E && que[S] > j+b-1)
                S++;

            Min[i][j] = Map[i][que[S]];
        }
    }

    for(j = 1; j <= m; ++j)
    {
        S = 0,E = 0;
        for(i = n; i >= 1; --i)
        {
            while(E > S && Min[que[E-1]][j] > Min[i][j])
                E--;
            que[E++] = i;
            while(S < E && que[S] > i+a-1)
                S++;
            Map[i][j] = Min[que[S]][j];
        }
    }
}

int main()
{
    int i,j,n,m,a,b;
    RD(n);
    RD(m);
    RD(a);
    RD(b);
    // scanf("%d %d %d %d",&n,&m,&a,&b);

    for(i = 1; i <= n; ++i)
        for(j = 1; j <= m; ++j)
            RD(Map[i][j]);//scanf("%I64d",&Map[i][j]);

    for(i = n; i >= 1; --i)
        for(j = m; j >= 1; --j)
            ans[i][j] = Map[i][j] + ans[i+1][j] + ans[i][j+1] - ans[i+1][j+1];

    int N = n-a+1,M = m-b+1;

    for(i = 1; i <= N; ++i)
        for(j = 1; j <= M; ++j)
            ans[i][j] = ans[i][j] - ans[i+a][j] - ans[i][j+b] + ans[i+a][j+b];

    CalMin(n,m,a,b);

//    for(i = 1;i <= n; ++i)
//    {
//        for(j = 1;j <= m; ++j)
//            printf("%3I64d ",ans[i][j]);
//        puts("");
//    }
//
//    puts("");
//
//    for(i = 1;i <= n; ++i)
//    {
//        for(j = 1;j <= m; ++j)
//            printf("%3I64d ",Min[i][j]);
//        puts("");
//    }

    for(i = N; i >= 1; --i)
        for(j = M; j >= 1; --j)
            q.push( {i,j,ans[i][j]-Map[i][j]*a*b});
    memset(mark,false,sizeof(mark));

    int L,R,T,B,Top = 0;

    while(q.empty() == false)
    {
        tmp = q.top();
        q.pop();

        if(mark[tmp.x][tmp.y])
            continue;

        T = max(1,tmp.x-a+1),B = min(n,tmp.x+a-1);
        L = max(1,tmp.y-b+1),R = min(m,tmp.y+b-1);

        for(i = T; i <= B; ++i)
            for(j = L; j <= R; ++j)
                mark[i][j] = true;
        x[Top] = tmp.x,y[Top] = tmp.y,val[Top] = tmp.val,Top++;
    }

    printf("%d\n",Top);

    for(i = 0; i < Top; ++i)
        printf("%d %d %I64d\n",x[i],y[i],val[i]);

    return 0;
} <algorithm>
#include <iostream>
#include <cstring>
#include <cstdlib>
#include <cstdio>
#include <queue>
#include <cmath>
#include <stack>
#include <map>
#include <ctime>
#include <iomanip>

#pragma comment(linker, "/STACK:1024000000");
#define EPS (1e-6)
#define LL long long
#define ULL unsigned long long
#define _LL __int64
#define INF 0x3f3f3f3f
#define Mod 1000000007

/** I/O Accelerator Interface .. **/
#define g (c=getchar())
#define d isdigit(g)
#define p x=x*10+c-'0'
#define n x=x*10+'0'-c
#define pp l/=10,p
#define nn l/=10,n
template<class T> inline T& RD(T &x)
{
    char c;
    while(!d);
    x=c-'0';
    while(d)p;
    return x;
}
template<class T> inline T& RDD(T &x)
{
    char c;
    while(g,c!='-'&&!isdigit(c));
    if (c=='-')
    {
        x='0'-g;
        while(d)n;
    }
    else
    {
        x=c-'0';
        while(d)p;
    }
    return x;
}
inline double& RF(double &x)      //scanf("%lf", &x);
{
    char c;
    while(g,c!='-'&&c!='.'&&!isdigit(c));
    if(c=='-')if(g=='.')
        {
            x=0;
            double l=1;
            while(d)nn;
            x*=l;
        }
        else
        {
            x='0'-c;
            while(d)n;
            if(c=='.')
            {
                double l=1;
                while(d)nn;
                x*=l;
            }
        }
    else if(c=='.')
    {
        x=0;
        double l=1;
        while(d)pp;
        x*=l;
    }
    else
    {
        x=c-'0';
        while(d)p;
        if(c=='.')
        {
            double l=1;
            while(d)pp;
            x*=l;
        }
    }
    return x;
}
#undef nn
#undef pp
#undef n
#undef p
#undef d
#undef g
using namespace std;

const int BLOCK = sqrt(1000.0);

LL Map[1010][1010];

bool mark[1010][1010];

LL ans[1010][1010] = {0};

LL Min[1010][1010];

struct N
{
    int x,y;
    LL val;
    bool operator < (const N &a) const
    {
        if(val != a.val)
            return a.val < val;
        if(x != a.x)
            return a.x < x;
        return a.y < y;
    }
} tmp;

int x[1000100],y[1000100];
LL val[1000100];

priority_queue<N> q;

int que[1010];

void CalMin(int n,int m,int a,int b)
{
    int i,j,S,E;

    for(i = 1; i <= n; ++i)
    {
        S = 0,E = 0;
        for(j = m; j >= 1; --j)
        {
            while(E > S && Map[i][que[E-1]] > Map[i][j])
                E--;
            que[E++] = j;
            while(S < E && que[S] > j+b-1)
                S++;

            Min[i][j] = Map[i][que[S]];
        }
    }

    for(j = 1; j <= m; ++j)
    {
        S = 0,E = 0;
        for(i = n; i >= 1; --i)
        {
            while(E > S && Min[que[E-1]][j] > Min[i][j])
                E--;
            que[E++] = i;
            while(S < E && que[S] > i+a-1)
                S++;
            Map[i][j] = Min[que[S]][j];
        }
    }
}

int main()
{
    int i,j,n,m,a,b;
    RD(n);
    RD(m);
    RD(a);
    RD(b);
    // scanf("%d %d %d %d",&n,&m,&a,&b);

    for(i = 1; i <= n; ++i)
        for(j = 1; j <= m; ++j)
            RD(Map[i][j]);//scanf("%I64d",&Map[i][j]);

    for(i = n; i >= 1; --i)
        for(j = m; j >= 1; --j)
            ans[i][j] = Map[i][j] + ans[i+1][j] + ans[i][j+1] - ans[i+1][j+1];

    int N = n-a+1,M = m-b+1;

    for(i = 1; i <= N; ++i)
        for(j = 1; j <= M; ++j)
            ans[i][j] = ans[i][j] - ans[i+a][j] - ans[i][j+b] + ans[i+a][j+b];

    CalMin(n,m,a,b);

//    for(i = 1;i <= n; ++i)
//    {
//        for(j = 1;j <= m; ++j)
//            printf("%3I64d ",ans[i][j]);
//        puts("");
//    }
//
//    puts("");
//
//    for(i = 1;i <= n; ++i)
//    {
//        for(j = 1;j <= m; ++j)
//            printf("%3I64d ",Min[i][j]);
//        puts("");
//    }

    for(i = N; i >= 1; --i)
        for(j = M; j >= 1; --j)
            q.push( {i,j,ans[i][j]-Map[i][j]*a*b});
    memset(mark,false,sizeof(mark));

    int L,R,T,B,Top = 0;

    while(q.empty() == false)
    {
        tmp = q.top();
        q.pop();

        if(mark[tmp.x][tmp.y])
            continue;

        T = max(1,tmp.x-a+1),B = min(n,tmp.x+a-1);
        L = max(1,tmp.y-b+1),R = min(m,tmp.y+b-1);

        for(i = T; i <= B; ++i)
            for(j = L; j <= R; ++j)
                mark[i][j] = true;
        x[Top] = tmp.x,y[Top] = tmp.y,val[Top] = tmp.val,Top++;
    }

    printf("%d\n",Top);

    for(i = 0; i < Top; ++i)
        printf("%d %d %I64d\n",x[i],y[i],val[i]);

    return 0;
}