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#include <iostream>
#include <set>
#include <vector>
#include <algorithm>
using namespace std;
 
int n, m, tar;
bool a[10][10];
set<string> seen;
 
string to_string_matrix(bool mat[10][10]) {
    string res;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            res += a[i][j] ? '1' : '0';
        }
    }
    return res;
}
 
string rotate_90(const string &s) {
    string t(n * m, '0');
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            t[j * n + (n - 1 - i)] = s[i * m + j];
        }
    }
    return t;
}
 
string reflect_h(const string &s) {
    string t = s;
    for (int i = 0; i < n; i++) {
        reverse(t.begin() + i * m, t.begin() + (i + 1) * m);
    }
    return t;
}
 
string reflect_v(const string &s) {
    string t = s;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            t[(n - 1 - i) * m + j] = s[i * m + j];
        }
    }
    return t;
}
 
string min_representation(string s) {
    vector<string> variants;
    variants.push_back(s);
    variants.push_back(reflect_h(s));
    variants.push_back(reflect_v(s));
 
 
    string r = rotate_90(s);
    variants.push_back(r);
    variants.push_back(reflect_h(r));
    variants.push_back(reflect_v(r));
 
    r = rotate_90(r);
    variants.push_back(r);
    variants.push_back(reflect_h(r));
    variants.push_back(reflect_v(r));
 
    return *min_element(variants.begin(), variants.end());
}
 
bool check() {
    for (int d = 1; d <= min(n, m) - 1; d++) {
        for (int i = 0; i + d < n; i++) {
            for (int j = 0; j + d < m; j++) {
                if (a[i][j] && a[i + d][j] && a[i][j + d] && a[i + d][j + d]) {
                    return false;
                }
            }
        }
    }
    return true;
}
 
int valid_count = 0;
 
void dfs(int i, int j, int k) {
    if (j == m) {
        i++;
        j = 0;
    }
 
    if (i == n) {
        if (k == tar && check()) {
            string key = to_string_matrix(a);
            string rep = min_representation(key);
            if (seen.count(rep)) return; // 對稱解出現過就跳過
 
            seen.insert(rep);
            valid_count++;
 
            for (int x = 0; x < n; x++) {
                for (int y = 0; y < m; y++) {
                    cout << a[x][y] << " ";
                }
                cout << "\n";
            }
            cout << "--------\n";
        }
        return;
    }
 
    a[i][j] = 0;
    dfs(i, j + 1, k);
 
    if (k < tar) {
        a[i][j] = 1;
        dfs(i, j + 1, k + 1);
    }
}
 
int main() {
    cin >> n >> m >> tar;
    dfs(0, 0, 0);
    cout << "合法代表組合總數: " << valid_count << "\n";
}

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Success #stdin #stdout 0.03s 5288KB

stdin

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stdout

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--------
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--------
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--------
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--------
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--------
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--------
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--------
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--------
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--------
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--------
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1 0 1 0 0 
--------
1 1 0 1 1 
0 1 1 0 1 
1 0 1 1 1 
1 1 0 0 0 
--------
1 1 0 1 1 
0 1 1 1 0 
1 0 1 0 1 
1 1 1 0 0 
--------
1 1 0 1 1 
0 1 1 1 0 
1 1 0 0 1 
1 0 1 0 1 
--------
1 1 0 1 1 
1 0 0 0 1 
1 0 1 1 1 
1 0 1 0 1 
--------
1 1 0 1 1 
1 0 0 0 1 
1 0 1 1 1 
1 1 1 0 0 
--------
1 1 0 1 1 
1 0 0 0 1 
1 1 1 0 1 
1 0 1 0 1 
--------
1 1 0 1 1 
1 0 0 1 0 
1 0 1 1 1 
1 0 1 0 1 
--------
1 1 0 1 1 
1 0 0 1 0 
1 0 1 1 1 
1 1 1 0 0 
--------
1 1 0 1 1 
1 0 0 1 0 
1 1 1 0 1 
1 0 1 0 1 
--------
1 1 0 1 1 
1 0 1 0 1 
1 0 1 1 1 
1 0 0 0 1 
--------
1 1 0 1 1 
1 0 1 0 1 
1 0 1 1 1 
1 1 0 0 0 
--------
1 1 0 1 1 
1 0 1 0 1 
1 1 1 0 1 
1 0 0 0 1 
--------
1 1 0 1 1 
1 0 1 1 0 
0 1 1 0 1 
0 0 1 1 1 
--------
1 1 0 1 1 
1 0 1 1 0 
1 1 1 0 1 
1 0 0 0 1 
--------
1 1 1 0 0 
1 0 0 1 1 
0 0 1 0 1 
1 1 1 1 1 
--------
1 1 1 0 0 
1 0 0 1 1 
0 1 0 0 1 
1 1 1 1 1 
--------
1 1 1 0 0 
1 0 0 1 1 
0 1 0 1 0 
1 1 1 1 1 
--------
1 1 1 0 0 
1 0 0 1 1 
0 1 1 0 1 
1 0 1 1 1 
--------
1 1 1 0 0 
1 0 0 1 1 
0 1 1 0 1 
1 1 0 1 1 
--------
1 1 1 0 0 
1 0 0 1 1 
0 1 1 1 0 
1 1 0 1 1 
--------
1 1 1 0 0 
1 0 0 1 1 
1 0 0 0 1 
1 1 1 1 1 
--------
1 1 1 0 0 
1 0 0 1 1 
1 0 0 1 0 
1 1 1 1 1 
--------
1 1 1 0 0 
1 0 0 1 1 
1 1 0 0 1 
0 1 1 1 1 
--------
1 1 1 0 0 
1 0 0 1 1 
1 1 0 0 1 
1 0 1 1 1 
--------
1 1 1 0 0 
1 0 0 1 1 
1 1 0 1 0 
0 1 1 1 1 
--------
1 1 1 0 0 
1 0 0 1 1 
1 1 0 1 0 
1 0 1 1 1 
--------
1 1 1 0 0 
1 0 1 1 0 
1 1 0 1 1 
0 1 1 0 1 
--------
1 1 1 0 0 
1 0 1 1 0 
1 1 0 1 1 
0 1 1 1 0 
--------
1 1 1 0 1 
0 0 0 1 1 
1 1 0 0 1 
1 0 1 1 1 
--------
1 1 1 0 1 
0 0 0 1 1 
1 1 0 1 0 
1 0 1 1 1 
--------
1 1 1 0 1 
0 0 1 0 1 
1 1 0 1 1 
1 0 1 1 0 
--------
1 1 1 0 1 
0 0 1 1 0 
1 1 0 0 1 
1 0 1 1 1 
--------
1 1 1 0 1 
0 0 1 1 0 
1 1 0 1 0 
1 0 1 1 1 
--------
1 1 1 0 1 
0 0 1 1 0 
1 1 0 1 1 
1 0 1 0 1 
--------
1 1 1 0 1 
0 0 1 1 1 
1 1 0 0 1 
1 0 0 1 1 
--------
1 1 1 0 1 
0 0 1 1 1 
1 1 0 1 0 
1 0 0 1 1 
--------
1 1 1 0 1 
0 1 0 0 1 
0 1 0 1 1 
1 1 1 1 0 
--------
1 1 1 0 1 
0 1 0 0 1 
1 0 0 1 1 
1 1 1 1 0 
--------
1 1 1 0 1 
0 1 0 0 1 
1 1 0 0 1 
1 0 1 1 1 
--------
1 1 1 0 1 
0 1 0 0 1 
1 1 0 1 0 
1 0 1 1 1 
--------
1 1 1 0 1 
0 1 0 0 1 
1 1 0 1 1 
0 1 1 1 0 
--------
1 1 1 0 1 
0 1 0 0 1 
1 1 0 1 1 
1 0 1 0 1 
--------
1 1 1 0 1 
0 1 0 0 1 
1 1 0 1 1 
1 0 1 1 0 
--------
1 1 1 0 1 
0 1 0 1 0 
1 1 0 0 1 
1 0 1 1 1 
--------
1 1 1 0 1 
0 1 0 1 0 
1 1 0 1 0 
1 0 1 1 1 
--------
1 1 1 0 1 
0 1 0 1 0 
1 1 0 1 1 
1 0 1 0 1 
--------
1 1 1 0 1 
0 1 0 1 1 
0 1 0 0 1 
1 0 1 1 1 
--------
1 1 1 0 1 
0 1 0 1 1 
0 1 0 1 0 
1 0 1 1 1 
--------
1 1 1 0 1 
0 1 0 1 1 
0 1 1 0 0 
1 0 1 1 1 
--------
1 1 1 0 1 
0 1 0 1 1 
0 1 1 1 0 
1 0 0 1 1 
--------
1 1 1 0 1 
0 1 0 1 1 
0 1 1 1 0 
1 0 1 0 1 
--------
1 1 1 0 1 
0 1 0 1 1 
1 0 0 0 1 
1 0 1 1 1 
--------
1 1 1 0 1 
0 1 0 1 1 
1 0 0 1 0 
1 0 1 1 1 
--------
1 1 1 0 1 
0 1 0 1 1 
1 1 0 0 0 
1 0 1 1 1 
--------
1 1 1 0 1 
0 1 0 1 1 
1 1 0 0 1 
0 0 1 1 1 
--------
1 1 1 0 1 
0 1 0 1 1 
1 1 0 0 1 
1 0 0 1 1 
--------
1 1 1 0 1 
0 1 0 1 1 
1 1 0 0 1 
1 0 1 0 1 
--------
1 1 1 0 1 
0 1 0 1 1 
1 1 0 0 1 
1 0 1 1 0 
--------
1 1 1 0 1 
0 1 0 1 1 
1 1 0 1 0 
0 0 1 1 1 
--------
1 1 1 0 1 
0 1 0 1 1 
1 1 0 1 0 
1 0 0 1 1 
--------
1 1 1 0 1 
0 1 0 1 1 
1 1 0 1 0 
1 0 1 0 1 
--------
1 1 1 0 1 
1 0 0 0 1 
0 1 0 1 1 
1 1 1 1 0 
--------
1 1 1 0 1 
1 0 0 0 1 
1 0 0 1 1 
1 1 1 1 0 
--------
1 1 1 0 1 
1 0 0 0 1 
1 1 0 0 1 
1 0 1 1 1 
--------
1 1 1 0 1 
1 0 0 0 1 
1 1 0 1 0 
1 0 1 1 1 
--------
1 1 1 0 1 
1 0 0 0 1 
1 1 0 1 1 
0 1 1 1 0 
--------
1 1 1 0 1 
1 0 0 0 1 
1 1 0 1 1 
1 0 1 0 1 
--------
1 1 1 0 1 
1 0 0 0 1 
1 1 0 1 1 
1 0 1 1 0 
--------
1 1 1 0 1 
1 0 0 1 0 
1 0 0 1 1 
1 1 1 1 0 
--------
1 1 1 0 1 
1 0 0 1 0 
1 1 0 0 1 
1 0 1 1 1 
--------
1 1 1 0 1 
1 0 0 1 0 
1 1 0 1 0 
1 0 1 1 1 
--------
1 1 1 0 1 
1 0 0 1 0 
1 1 0 1 1 
0 1 1 1 0 
--------
1 1 1 0 1 
1 0 0 1 0 
1 1 0 1 1 
1 0 1 0 1 
--------
1 1 1 0 1 
1 0 0 1 1 
0 1 0 0 1 
1 0 1 1 1 
--------
1 1 1 0 1 
1 0 0 1 1 
0 1 0 0 1 
1 1 1 1 0 
--------
1 1 1 0 1 
1 0 0 1 1 
0 1 0 1 0 
1 0 1 1 1 
--------
1 1 1 0 1 
1 0 0 1 1 
0 1 1 0 0 
1 0 1 1 1 
--------
1 1 1 0 1 
1 0 0 1 1 
0 1 1 1 0 
1 0 0 1 1 
--------
1 1 1 0 1 
1 0 0 1 1 
0 1 1 1 0 
1 0 1 0 1 
--------
1 1 1 0 1 
1 0 0 1 1 
1 0 0 0 1 
1 0 1 1 1 
--------
1 1 1 0 1 
1 0 0 1 1 
1 0 0 0 1 
1 1 1 1 0 
--------
1 1 1 0 1 
1 0 0 1 1 
1 0 0 1 0 
1 0 1 1 1 
--------
1 1 1 0 1 
1 0 0 1 1 
1 0 0 1 0 
1 1 1 1 0 
--------
1 1 1 0 1 
1 0 0 1 1 
1 1 0 0 0 
1 0 1 1 1 
--------
1 1 1 0 1 
1 0 0 1 1 
1 1 0 0 1 
0 0 1 1 1 
--------
1 1 1 0 1 
1 0 0 1 1 
1 1 0 0 1 
0 1 1 1 0 
--------
1 1 1 0 1 
1 0 0 1 1 
1 1 0 0 1 
1 0 0 1 1 
--------
1 1 1 0 1 
1 0 0 1 1 
1 1 0 0 1 
1 0 1 0 1 
--------
1 1 1 0 1 
1 0 0 1 1 
1 1 0 0 1 
1 0 1 1 0 
--------
1 1 1 0 1 
1 0 0 1 1 
1 1 0 1 0 
0 0 1 1 1 
--------
1 1 1 0 1 
1 0 0 1 1 
1 1 0 1 0 
1 0 0 1 1 
--------
1 1 1 0 1 
1 0 0 1 1 
1 1 0 1 0 
1 0 1 0 1 
--------
1 1 1 0 1 
1 0 1 0 1 
0 1 1 1 0 
1 0 0 1 1 
--------
1 1 1 0 1 
1 0 1 0 1 
1 1 0 0 1 
1 0 0 1 1 
--------
1 1 1 0 1 
1 0 1 0 1 
1 1 0 1 0 
1 0 0 1 1 
--------
1 1 1 0 1 
1 0 1 0 1 
1 1 0 1 1 
1 0 0 0 1 
--------
1 1 1 0 1 
1 0 1 0 1 
1 1 0 1 1 
1 0 0 1 0 
--------
1 1 1 0 1 
1 0 1 1 0 
1 1 0 0 1 
1 0 0 1 1 
--------
1 1 1 0 1 
1 0 1 1 0 
1 1 0 1 0 
1 0 0 1 1 
--------
1 1 1 0 1 
1 0 1 1 0 
1 1 0 1 1 
1 0 0 0 1 
--------
1 1 1 0 1 
1 0 1 1 1 
0 1 0 0 1 
1 0 0 1 1 
--------
1 1 1 0 1 
1 0 1 1 1 
0 1 0 1 0 
1 0 0 1 1 
--------
1 1 1 0 1 
1 0 1 1 1 
1 0 0 0 1 
1 0 0 1 1 
--------
1 1 1 0 1 
1 0 1 1 1 
1 0 0 1 0 
1 0 0 1 1 
--------
1 1 1 0 1 
1 0 1 1 1 
1 1 0 0 0 
1 0 0 1 1 
--------
1 1 1 0 1 
1 0 1 1 1 
1 1 0 0 1 
1 0 0 0 1 
--------
1 1 1 0 1 
1 0 1 1 1 
1 1 0 0 1 
1 0 0 1 0 
--------
1 1 1 0 1 
1 0 1 1 1 
1 1 0 1 0 
1 0 0 0 1 
--------
1 1 1 1 0 
0 0 0 1 1 
1 1 0 0 1 
0 1 1 1 1 
--------
1 1 1 1 0 
0 1 0 0 1 
0 0 1 1 1 
1 1 1 0 1 
--------
1 1 1 1 0 
0 1 0 0 1 
1 0 0 1 1 
1 1 1 0 1 
--------
1 1 1 1 0 
0 1 0 0 1 
1 1 0 0 1 
0 1 1 1 1 
--------
1 1 1 1 0 
0 1 0 1 0 
0 0 1 1 1 
1 1 1 0 1 
--------
1 1 1 1 0 
0 1 0 1 0 
1 0 0 1 1 
1 1 1 0 1 
--------
1 1 1 1 0 
0 1 0 1 1 
0 0 1 0 1 
1 1 1 0 1 
--------
1 1 1 1 0 
0 1 0 1 1 
0 0 1 1 0 
1 1 1 0 1 
--------
1 1 1 1 0 
0 1 0 1 1 
0 1 0 0 1 
1 1 1 0 1 
--------
1 1 1 1 0 
0 1 0 1 1 
0 1 1 0 1 
0 0 1 1 1 
--------
1 1 1 1 0 
0 1 0 1 1 
0 1 1 0 1 
1 1 0 0 1 
--------
1 1 1 1 0 
0 1 0 1 1 
1 0 0 0 1 
1 1 1 0 1 
--------
1 1 1 1 0 
0 1 0 1 1 
1 0 0 1 0 
1 1 1 0 1 
--------
1 1 1 1 0 
0 1 0 1 1 
1 1 0 0 1 
0 1 1 0 1 
--------
1 1 1 1 0 
0 1 0 1 1 
1 1 0 0 1 
1 0 1 0 1 
--------
1 1 1 1 0 
1 0 0 0 1 
0 0 1 1 1 
1 1 1 0 1 
--------
1 1 1 1 0 
1 0 0 0 1 
1 0 0 1 1 
1 1 1 0 1 
--------
1 1 1 1 0 
1 0 0 0 1 
1 1 0 0 1 
0 1 1 1 1 
--------
1 1 1 1 0 
1 0 0 1 0 
0 0 1 1 1 
1 1 1 0 1 
--------
1 1 1 1 0 
1 0 0 1 0 
1 0 0 1 1 
1 1 1 0 1 
--------
1 1 1 1 0 
1 0 0 1 0 
1 1 0 0 1 
0 1 1 1 1 
--------
1 1 1 1 0 
1 0 0 1 1 
0 0 1 0 1 
1 1 1 0 1 
--------
1 1 1 1 0 
1 0 0 1 1 
0 0 1 1 0 
1 1 1 0 1 
--------
1 1 1 1 0 
1 0 0 1 1 
0 1 0 0 1 
0 1 1 1 1 
--------
1 1 1 1 0 
1 0 0 1 1 
0 1 0 0 1 
1 1 1 0 1 
--------
1 1 1 1 0 
1 0 0 1 1 
0 1 1 0 1 
0 0 1 1 1 
--------
1 1 1 1 0 
1 0 0 1 1 
0 1 1 0 1 
0 1 0 1 1 
--------
1 1 1 1 0 
1 0 0 1 1 
0 1 1 0 1 
1 0 1 0 1 
--------
1 1 1 1 0 
1 0 0 1 1 
0 1 1 0 1 
1 1 0 0 1 
--------
1 1 1 1 0 
1 0 0 1 1 
1 0 0 0 1 
0 1 1 1 1 
--------
1 1 1 1 0 
1 0 0 1 1 
1 0 0 0 1 
1 1 1 0 1 
--------
1 1 1 1 0 
1 0 0 1 1 
1 0 0 1 0 
0 1 1 1 1 
--------
1 1 1 1 0 
1 0 0 1 1 
1 0 0 1 0 
1 1 1 0 1 
--------
1 1 1 1 0 
1 0 0 1 1 
1 1 0 0 0 
0 1 1 1 1 
--------
1 1 1 1 0 
1 0 0 1 1 
1 1 0 0 1 
1 0 1 0 1 
--------
1 1 1 1 0 
1 0 1 0 1 
0 0 1 1 1 
1 1 0 0 1 
--------
1 1 1 1 0 
1 0 1 0 1 
0 1 1 0 1 
0 1 0 1 1 
--------
1 1 1 1 0 
1 0 1 0 1 
0 1 1 0 1 
1 1 0 0 1 
--------
1 1 1 1 0 
1 0 1 0 1 
1 0 0 1 1 
1 1 0 0 1 
--------
1 1 1 1 1 
0 0 1 0 1 
1 0 0 1 1 
1 1 1 0 0 
--------
1 1 1 1 1 
0 1 0 0 1 
1 0 0 1 1 
1 0 1 0 1 
--------
1 1 1 1 1 
0 1 0 0 1 
1 0 0 1 1 
1 1 1 0 0 
--------
1 1 1 1 1 
0 1 0 0 1 
1 1 0 0 1 
1 0 1 0 1 
--------
1 1 1 1 1 
0 1 0 1 0 
1 0 0 1 1 
1 0 1 0 1 
--------
1 1 1 1 1 
0 1 0 1 0 
1 0 0 1 1 
1 1 1 0 0 
--------
1 1 1 1 1 
0 1 0 1 0 
1 1 0 0 1 
1 0 1 0 1 
--------
1 1 1 1 1 
1 0 0 0 1 
1 0 0 1 1 
1 0 1 0 1 
--------
1 1 1 1 1 
1 0 0 0 1 
1 0 0 1 1 
1 1 1 0 0 
--------
1 1 1 1 1 
1 0 0 0 1 
1 1 0 0 1 
1 0 1 0 1 
--------
1 1 1 1 1 
1 0 0 1 0 
1 0 0 1 1 
1 0 1 0 1 
--------
1 1 1 1 1 
1 0 0 1 0 
1 0 0 1 1 
1 1 1 0 0 
--------
1 1 1 1 1 
1 0 0 1 0 
1 1 0 0 1 
1 0 1 0 1 
--------
1 1 1 1 1 
1 0 1 0 1 
0 1 0 0 1 
0 1 1 1 0 
--------
1 1 1 1 1 
1 0 1 0 1 
1 0 0 1 1 
1 0 0 0 1 
--------
1 1 1 1 1 
1 0 1 0 1 
1 0 0 1 1 
1 1 0 0 0 
--------
1 1 1 1 1 
1 0 1 0 1 
1 1 0 0 1 
0 0 1 1 0 
--------
1 1 1 1 1 
1 0 1 0 1 
1 1 0 0 1 
0 1 1 0 0 
--------
1 1 1 1 1 
1 0 1 0 1 
1 1 0 0 1 
1 0 0 0 1 
--------
合法代表組合總數: 849

https://ideone.com/zzWiqH

旋轉算一樣

language:

C++ (gcc 8.3)

created:

visibility:

public

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