Repair 暴力

Description

standard input/output
Statements

Alex is repairing his country house. He has a rectangular metal sheet of size a × b. He has to cut two rectangular sheets of sizes a₁ × b₁and a₂ × b₂ from it. All cuts must be parallel to the sides of the initial sheet. Determine if he can do it.

Input

The first line contains two space-separated integers a and b (1 ≤ a, b ≤ 10⁹) — the sizes of the initial sheet.

The second line contains two space-separated integers a₁ and b₁ (1 ≤ a₁, b₁ ≤ 10⁹) — the sizes of the first sheet to cut out.

The third line contains two space-separated integers a₂ and b₂ (1 ≤ a₂, b₂ ≤ 10⁹) — the sizes of the second sheet to cut out.

Output

Output «YES» (without quotes), if it's possible to cut two described sheets from the initial sheet, or «NO» (without quotes), if it's not possible.

Sample Input

Input

12 20
14 7
5 6

Output

YES

Input

12 20
11 9
20 7

Output

NO


枚举那两个小长方形的形状，要么躺着，要么倒着，
然后位置关系也有2中，上下或者左右。一共8种情况
枚举有技巧，不用全部写if。考怒写循环。
固定1，枚举2的两种形状，枚举2的位置关系。
固定2，枚举1的两种形状，枚举1的位置关系。
这样做的话，没法做到同时转换1和转换2.
那么考虑转换大长方形再来一次，就能考怒完全部。

#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <algorithm>
using namespace std;
#define inf (0x3f3f3f3f)
typedef long long int LL;

#include <iostream>
#include <sstream>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <string>
struct data {
    int row, col;
} a[5];
bool check(int torow, int tocol) {
    if (torow <= a[1].row && tocol <= a[1].col) return true;
    else return false;
}
void work() {
    for (int i = 1; i <= 3; ++i) {
        cin >> a[i].row >> a[i].col;
    }
    bool flag = false;
    for (int i = 1; i <= 2 && !flag; ++i) {
        if (check(max(a[2].row, a[3].row), a[2].col + a[3].col)) {
            flag = true;
        }
        if (check(a[2].row + a[3].row, max(a[2].col, a[3].col))) {
            flag = true;
        }
        swap(a[3].row, a[3].col);
    }
//    cout << a[3].row << " " << a[3].col << endl;
    for (int i = 1; i <= 2 && !flag; ++i) {
        if (check(max(a[2].row, a[3].row), a[2].col + a[3].col)) {
            flag = true;
        }
        if (check(a[3].row + a[2].row, max(a[2].col, a[3].col))) {
            flag = true;
        }
        swap(a[2].row, a[2].col);
    }
    swap(a[1].row, a[1].col);
    for (int i = 1; i <= 2 && !flag; ++i) {
        if (check(max(a[2].row, a[3].row), a[2].col + a[3].col)) {
            flag = true;
        }
        if (check(a[2].row + a[3].row, max(a[2].col, a[3].col))) {
            flag = true;
        }
        swap(a[3].row, a[3].col);
    }
//    cout << a[3].row << " " << a[3].col << endl;
    for (int i = 1; i <= 2 && !flag; ++i) {
        if (check(max(a[2].row, a[3].row), a[2].col + a[3].col)) {
            flag = true;
        }
        if (check(a[3].row + a[2].row, max(a[2].col, a[3].col))) {
            flag = true;
        }
        swap(a[2].row, a[2].col);
    }

    if (flag) {
        cout << "YES" << endl;
    } else {
        cout << "NO" << endl;
    }
}

int main() {
#ifdef local
    freopen("data.txt","r",stdin);
#endif
    work();
    return 0;
}