UVa 12265 - Selling Land (单挑队列)

题意

以一个格子为右下角做矩形,找出它的最大周长。

思路

还记得以前谁说过,单调队列学好了就可以单挑了,俗称单挑队列。真的是。。。

这题想了一晚上还是似懂非懂。只能寄望于日后一朝领悟了。

代码

#include <stack>
#include <cstdio>
#include <list>
#include <cassert>
#include <set>
#include <iostream>
#include <string>
#include <vector>
#include <queue>
#include <functional>
#include <cstring>
#include <algorithm>
#include <cctype>
#include <string>
#include <map>
#include <cmath>
using namespace std;
#define LL long long
#define ULL unsigned long long
#define SZ(x) (int)x.size()
#define Lowbit(x) ((x) & (-x))
#define MP(a, b) make_pair(a, b)
#define MS(arr, num) memset(arr, num, sizeof(arr))
#define PB push_back
#define X first
#define Y second
#define ROP freopen("input.txt", "r", stdin);
#define MID(a, b) (a + ((b - a) >> 1))
#define LC rt << 1, l, mid
#define RC rt << 1|1, mid + 1, r
#define LRT rt << 1
#define RRT rt << 1|1
const double PI = acos(-1.0);
const int INF = 0x3f3f3f3f;
const double eps = 1e-8;
const int MAXN = 1e3 + 2;
const int MOD = 1e9 + 7;
const int dir[][2] = { {-1, 0}, {0, -1}, { 1, 0 }, { 0, 1 } };
int cases = 0;
typedef pair<int, int> pii;
 
int up[MAXN][MAXN], row, col;
void Solve()
{
    map<int, int> mp;
    for (int i = 1; i <= row; i++)
    {
        stack<pii> S;
        for (int j = 1; j <= col; j++)
        {
            int r = j;
            while (!S.empty() && S.top().X >= up[i][j])
            {
                r = S.top().Y;
                S.pop();
            }
            if (up[i][j] == 0) continue;
            if (S.empty() || up[i][j] - S.top().X > r - S.top().Y)
            {
                mp[up[i][j] + j-r+1]++;
                S.push(MP(up[i][j], r));
            }
            else mp[S.top().X + j-S.top().Y+1]++;
        }
    }
    for (map<int, int>::iterator it = mp.begin(); it != mp.end(); it++)
        printf("%d x %d\n", it->Y, it->X * 2);
}
 
int main()
{
    //ROP;
    int T;
    scanf("%d", &T);
    while (T--)
    {
        MS(up, 0);
        scanf("%d%d", &row, &col);
        for (int i = 1; i <= row; i++)
            for (int j = 1; j <= col; j++)
            {
                char ch = getchar();
                while (ch != '.' && ch != '#') ch = getchar();
                if (ch == '#') up[i][j] = 0;
                else up[i][j] = up[i-1][j] + 1;
            }
        Solve();
    }
    return 0;
}

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