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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#569099#9310. Permutation Counting 4EchoWA 284ms3824kbC++143.7kb2024-09-16 20:29:112024-09-16 20:29:11

Judging History

你现在查看的是最新测评结果

  • [2024-09-18 14:56:40]
  • hack成功,自动添加数据
  • (/hack/835)
  • [2024-09-18 14:41:06]
  • hack成功,自动添加数据
  • (/hack/831)
  • [2024-09-17 12:14:52]
  • hack成功,自动添加数据
  • (/hack/825)
  • [2024-09-16 20:29:11]
  • 评测
  • 测评结果:WA
  • 用时:284ms
  • 内存:3824kb
  • [2024-09-16 20:29:11]
  • 提交

answer

#include <iostream>
#include <vector>
#include <algorithm>
#include <cstdio>

using namespace std;

// Define an interval as a pair of integers
typedef pair<int, int> Interval;

// Function to compute the symmetric difference of two interval lists
vector<Interval> symmetric_difference(const vector<Interval>& A, const vector<Interval>& B) {
    vector<Interval> result;
    int i = 0, j = 0;
    int n = A.size(), m = B.size();
    while (i < n || j < m) {
        Interval next;
        if (i < n && (j >= m || A[i] < B[j])) {
            next = A[i++];
        } else if (j < m && (i >= n || B[j] < A[i])) {
            next = B[j++];
        } else {
            // Overlapping intervals
            Interval a = A[i++], b = B[j++];
            // Compute the symmetric difference of overlapping intervals
            vector<Interval> temp;
            if (a.first < b.first) temp.push_back({a.first, b.first - 1});
            if (b.first < a.first) temp.push_back({b.first, a.first - 1});
            if (a.second > b.second) temp.push_back({b.second + 1, a.second});
            if (b.second > a.second) temp.push_back({a.second + 1, b.second});
            for (auto& t : temp) {
                if (!result.empty() && result.back().second + 1 >= t.first) {
                    result.back().second = max(result.back().second, t.second);
                } else {
                    result.push_back(t);
                }
            }
            continue;
        }
        // Add or merge intervals
        if (!result.empty() && result.back().second + 1 >= next.first) {
            result.back().second = max(result.back().second, next.second);
        } else {
            result.push_back(next);
        }
    }
    return result;
}

// Function to check if column c is in any interval of row
bool column_in_row(const vector<Interval>& intervals, int c) {
    for (auto& interval : intervals) {
        if (c >= interval.first && c <= interval.second) return true;
        if (interval.first > c) break;
    }
    return false;
}

int main() {
    int T;
    scanf("%d", &T);
    while (T--) {
        int n;
        scanf("%d", &n);

        vector<vector<Interval>> rows(n);
        bool possible = true;

        for (int i = 0; i < n; ++i) {
            int l, r;
            scanf("%d%d", &l, &r);
            if (l > r) {
                possible = false;
            }
            rows[i].push_back({l, r});
        }

        if (!possible) {
            printf("0\n");
            continue;
        }

        vector<int> row_indices(n);
        for (int i = 0; i < n; ++i) row_indices[i] = i;

        bool determinant = true;

        for (int c = 1; c <= n; ++c) {
            int pivot_row = -1;
            for (int r = c - 1; r < n; ++r) {
                if (column_in_row(rows[row_indices[r]], c)) {
                    pivot_row = r;
                    break;
                }
            }
            if (pivot_row == -1) {
                determinant = false;
                break;
            }
            if (pivot_row != c - 1) {
                swap(row_indices[c - 1], row_indices[pivot_row]);
            }
            int pivot = row_indices[c - 1];
            vector<Interval>& pivot_intervals = rows[pivot];

            for (int i = 0; i < n; ++i) {
                if (i == c - 1) continue;
                int row_i = row_indices[i];
                if (column_in_row(rows[row_i], c)) {
                    // Perform row operation: rows[row_i] ^= rows[pivot]
                    rows[row_i] = symmetric_difference(rows[row_i], pivot_intervals);
                }
            }
        }

        printf("%d\n", determinant ? 1 : 0);
    }

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3824kb

input:

4
5
1 2
1 5
1 2
1 2
2 2
5
1 1
2 4
2 3
5 5
3 4
5
3 5
1 2
3 4
3 5
3 3
5
1 5
1 4
4 5
5 5
1 2

output:

0
1
0
0

result:

ok 4 tokens

Test #2:

score: -100
Wrong Answer
time: 284ms
memory: 3812kb

input:

66725
14
7 7
4 6
7 8
8 13
2 13
6 13
6 10
14 14
1 10
9 11
7 9
3 8
4 12
5 12
12
2 6
3 6
7 11
2 5
1 1
6 12
8 12
2 3
7 9
7 8
1 10
1 4
10
4 8
4 4
6 10
9 10
2 3
2 7
1 3
3 4
2 2
3 10
20
3 12
10 14
19 20
19 20
1 9
7 9
13 16
17 17
16 18
2 11
5 19
6 17
11 17
3 6
3 11
7 20
8 17
3 18
10 15
9 20
16
5 10
2 10
2 1...

output:

0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
...

result:

wrong answer 1st words differ - expected: '1', found: '0'