编号 题目 状态 分数 总时间 内存 代码 / 答案文件 提交者 提交时间
#32151 #2065. 数字华容道 Accepted 100 634 ms 8132 K C / 2.1 K 192024211305 2025-03-16 22:31:31
显示原始代码
#include <stdio.h>
#include <stdlib.h>

long long merge(int arr[], int temp[], int left, int mid, int right) {
    int i = left, j = mid, k = left;
    long long inv_count = 0;
    while (i <= mid - 1 && j <= right) {
        if (arr[i] <= arr[j]) {
            temp[k++] = arr[i++];
        } else {
            temp[k++] = arr[j++];
            inv_count += (mid - i);
        }
    }
    while (i <= mid - 1) temp[k++] = arr[i++];
    while (j <= right) temp[k++] = arr[j++];
    for (i = left; i <= right; i++) arr[i] = temp[i];
    return inv_count;
}

long long merge_sort(int arr[], int temp[], int left, int right) {
    long long inv_count = 0;
    if (left < right) {
        int mid = left + (right - left) / 2;
        inv_count += merge_sort(arr, temp, left, mid);
        inv_count += merge_sort(arr, temp, mid + 1, right);
        inv_count += merge(arr, temp, left, mid + 1, right);
    }
    return inv_count;
}

long long count_inversions(int arr[], int len) {
    int *temp = (int *)malloc(len * sizeof(int));
    long long inv_count = merge_sort(arr, temp, 0, len - 1);
    free(temp);
    return inv_count;
}

int main() {
    int n, m;
    scanf("%d %d", &n, &m);
    int total = n * m;
    int *board = (int *)malloc(total * sizeof(int));
    int row_zero = -1, idx = 0;

    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            scanf("%d", &board[idx]);
            if (board[idx] == 0)
                row_zero = i;
            idx++;
        }
    }

    int len = total - 1;
    int *arr = (int *)malloc(len * sizeof(int));
    int pos = 0;
    for (int i = 0; i < total; i++) {
        if (board[i] != 0)
            arr[pos++] = board[i];
    }
    free(board);

    long long inv_count = count_inversions(arr, len);
    free(arr);

    int possible;
    if (m % 2 == 1) {
        possible = (inv_count % 2) == 0;
    } else {
        int row_diff = (n - 1 - row_zero);
        possible = ((inv_count + row_diff) % 2) == 0;
    }

    printf(possible ? "YES\n" : "NO\n");
    return 0;
}
子任务 #1
Accepted
得分:100
测试点 #1
Accepted
得分:100
用时:2 ms
内存:196 KiB

输入文件(test1.in

3 3
1 2 6 
7 3 8 
0 4 5 

答案文件(test1.out

YES

用户输出

YES

系统信息

Exited with return code 0
测试点 #2
Accepted
得分:100
用时:2 ms
内存:284 KiB

输入文件(test2.in

3 3
7 1 5 
6 0 2 
3 4 8 

答案文件(test2.out

YES

用户输出

YES

系统信息

Exited with return code 0
测试点 #3
Accepted
得分:100
用时:2 ms
内存:284 KiB

输入文件(test3.in

4 4
13 11 1 9 
15 2 14 7 
0 10 3 8 
4 5 6 12 

答案文件(test3.out

YES

用户输出

YES

系统信息

Exited with return code 0
测试点 #4
Accepted
得分:100
用时:2 ms
内存:284 KiB

输入文件(test4.in

4 4
14 3 9 8 
4 15 5 0 
1 2 6 7 
10 11 12 13 

答案文件(test4.out

NO

用户输出

NO

系统信息

Exited with return code 0
测试点 #5
Accepted
得分:100
用时:2 ms
内存:284 KiB

输入文件(test5.in

4 4
9 13 2 5 
1 14 12 0 
3 4 10 7 
8 6 11 15 

答案文件(test5.out

NO

用户输出

NO

系统信息

Exited with return code 0
测试点 #6
Accepted
得分:100
用时:4 ms
内存:336 KiB

输入文件(test6.in

100 100
7690 5682 2677 2004 5559 6119 4307 2035 8893 7862 9155 2640 4139 6211 1754 6042 8035 8694 1
<48999 bytes omitted>

答案文件(test6.out

YES

用户输出

YES

系统信息

Exited with return code 0
测试点 #7
Accepted
得分:100
用时:4 ms
内存:284 KiB

输入文件(test7.in

100 100
7131 5702 6393 2569 6232 2219 5826 1730 3120 8643 4870 8412 4828 9339 2366 738 5908 5688 52
<48999 bytes omitted>

答案文件(test7.out

NO

用户输出

NO

系统信息

Exited with return code 0
测试点 #8
Accepted
得分:100
用时:242 ms
内存:8132 KiB

输入文件(test8.in

1000 1000
852093 582459 126709 111945 392720 997041 498864 532066 280215 433547 734819 780448 18612
<6890801 bytes omitted>

答案文件(test8.out

YES

用户输出

YES

系统信息

Exited with return code 0
测试点 #9
Accepted
得分:100
用时:243 ms
内存:8104 KiB

输入文件(test9.in

1000 1000
425610 18558 726158 634073 689595 11109 521599 44245 742153 819901 371590 568407 886681 3
<6890801 bytes omitted>

答案文件(test9.out

YES

用户输出

YES

系统信息

Exited with return code 0
测试点 #10
Accepted
得分:100
用时:131 ms
内存:4540 KiB

输入文件(test10.in

587 931
402769 239103 45894 99675 444353 214471 33158 331145 254043 429952 47540 544790 544051 3134
<3715452 bytes omitted>

答案文件(test10.out

YES

用户输出

YES

系统信息

Exited with return code 0