116 lines
3.5 KiB
C++
116 lines
3.5 KiB
C++
#include <stdio.h>
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#include <stdlib.h>
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#include <math.h>
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#include <string.h>
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#include <memory.h>
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#include <string>
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#include <vector>
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#include <map>
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#include <set>
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#include <queue>
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#include <algorithm>
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#include <iostream>
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#define ll long long
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using namespace std;
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const int N = 200;
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int mtx[N][N], n;
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int row[N], col[N], dia[2];
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map<int, int> M;
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int cunt;
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void Change(int r1, int c1, int r2, int c2) {
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int d = mtx[r1][c1] - mtx[r2][c2];
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if (d == 0) return;
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int res = 0;
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if ((M[row[r1]]--) == 1) res--;
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if ((M[col[c1]]--) == 1) res--;
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if ((M[row[r2]]--) == 1) res--;
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if ((M[col[c2]]--) == 1) res--;
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if (r1 == c1 && (M[dia[0]]--) == 1) res--;
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if (r1 == n - c1 - 1 && (M[dia[1]]--) == 1) res--;
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if (r2 == c2 && (M[dia[0]]--) == 1) res--;
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if (r2 == n - c2 - 1 && (M[dia[1]]--) == 1) res--;
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swap(mtx[r1][c1], mtx[r2][c2]);
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row[r1] -= d; col[c1] -= d; row[r2] += d; col[c2] += d;
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if (r1 == c1) dia[0] -= d;
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if (r1 == n - c1 - 1) dia[1] -= d;
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if (r2 == c2) dia[0] += d;
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if (r2 == n - c2 - 1) dia[1] += d;
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if ((M[row[r1]]++) == 0) res++;
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if ((M[col[c1]]++) == 0) res++;
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if ((M[row[r2]]++) == 0) res++;
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if ((M[col[c2]]++) == 0) res++;
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if (r1 == c1 && (M[dia[0]]++) == 0) res++;
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if (r1 == n - c1 - 1 && (M[dia[1]]++) == 0) res++;
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if (r2 == c2 && (M[dia[0]]++) == 0) res++;
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if (r2 == n - c2 - 1 && (M[dia[1]]++) == 0) res++;
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if (res >= 0) {
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cunt += res;
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return;
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}
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M[row[r1]]--; M[col[c1]]--; M[row[r2]]--; M[col[c2]]--;
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if (r1 == c1) M[dia[0]]--;
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if (r1 == n - c1 - 1) M[dia[1]]--;
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if (r2 == c2) M[dia[0]]--;
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if (r2 == n - c2 - 1) M[dia[1]]--;
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swap(mtx[r1][c1], mtx[r2][c2]);
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row[r1] += d; col[c1] += d; row[r2] -= d; col[c2] -= d;
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if (r1 == c1) dia[0] += d;
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if (r1 == n - c1 - 1) dia[1] += d;
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if (r2 == c2) dia[0] -= d;
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if (r2 == n - c2 - 1) dia[1] -= d;
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M[row[r1]]++; M[col[c1]]++; M[row[r2]]++; M[col[c2]]++;
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if (r1 == c1) M[dia[0]]++;
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if (r1 == n - c1 - 1) M[dia[1]]++;
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if (r2 == c2) M[dia[0]]++;
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if (r2 == n - c2 - 1) M[dia[1]]++;
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}
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int main() {
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int T, C, m, idx, s1, s2;
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int r1, c1, r2, c2;
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scanf("%d", &T);
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for (C = 1; C <= T; C++) {
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scanf("%d", &n);
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idx = 0;
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for (int i = 0; i < n; i++)
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for (int j = 0; j < n; j++)
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mtx[i][j] = ++idx;
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M.clear();
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cunt = 0;
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for (int i = 0; i < n; i++) {
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s1 = 0, s2 = 0;
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for (int j = 0; j < n; j++) {
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s1 += mtx[i][j];
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s2 += mtx[j][i];
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}
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row[i] = s1; col[i] = s2;
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if ((M[s1]++) == 0) cunt++;
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if ((M[s2]++) == 0) cunt++;
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}
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s1 = s2 = 0;
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for (int i = 0; i < n; i++) {
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s1 += mtx[i][i];
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s2 += mtx[i][n-i-1];
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}
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dia[0] = s1; dia[1] = s2;
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if ((M[s1]++) == 0) cunt++;
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if ((M[s2]++) == 0) cunt++;
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m = 2 * n + 2;
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while (cunt < m) {
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r1 = rand() % n;
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r2 = rand() % n;
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c1 = rand() % n;
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c2 = rand() % n;
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Change(r1, c1, r2, c2);
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}
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printf("Case #%d:\n", C);
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for (int i = 0; i < n; i++) {
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for (int j = 0; j < n; j++) {
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if (j) printf(" ");
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printf("%d", mtx[i][j]);
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}
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printf("\n");
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}
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}
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return 0;
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}
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