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| 1 | +#include <bits/stdc++.h> |
| 2 | + |
| 3 | +#define rep(i,a) for(int i=0; i<a; i++) |
| 4 | +#define rrep(i,a) for(int i=a-1; i>=0; i--) |
| 5 | +#define range(i,a,b) for(int i=a; i<b; i++) |
| 6 | +#define rrange(i,a,b) for(int i=a-1; i>=b; i--) |
| 7 | +#define MX 1e4+5 |
| 8 | + |
| 9 | +using namespace std; |
| 10 | + |
| 11 | +typedef pair<int, int> pii; |
| 12 | +typedef vector<int> vi; |
| 13 | +typedef vector<pii> vii; |
| 14 | +typedef vector<vi> vvi; |
| 15 | + |
| 16 | + |
| 17 | +class Point { |
| 18 | +public: |
| 19 | + int mnx, mnv, mxx, mxv; |
| 20 | + Point() { |
| 21 | + mnx = INT_MAX; |
| 22 | + mnv = INT_MAX; |
| 23 | + mxx = INT_MIN; |
| 24 | + mxv = INT_MIN; |
| 25 | + }; |
| 26 | +}; |
| 27 | + |
| 28 | +void run_case() { |
| 29 | + |
| 30 | + int n; |
| 31 | + cin >> n; |
| 32 | + |
| 33 | + vector<Point> a(11, Point()), b(11, Point()); |
| 34 | + vi cnt(10, 0); |
| 35 | + |
| 36 | + for(int i=0; i<n; i++) { |
| 37 | + string ss; |
| 38 | + cin >> ss; |
| 39 | + for(int j = 0; j < n; j++) { |
| 40 | + int x = int(ss[j] - '0'); |
| 41 | + cnt[x]++; |
| 42 | + if(i < a[x].mnx) { |
| 43 | + a[x].mnx = i; |
| 44 | + a[x].mnv = j; |
| 45 | + } |
| 46 | + if(i > a[x].mxx) { |
| 47 | + a[x].mxx = i; |
| 48 | + a[x].mxv = j; |
| 49 | + } |
| 50 | + if(j < b[x].mnv) { |
| 51 | + b[x].mnx = i; |
| 52 | + b[x].mnv = j; |
| 53 | + } |
| 54 | + if(j > b[x].mxv) { |
| 55 | + b[x].mxx = i; |
| 56 | + b[x].mxv = j; |
| 57 | + } |
| 58 | + } |
| 59 | + } |
| 60 | + |
| 61 | + cout << "cnt: "; |
| 62 | + for(int x: cnt) |
| 63 | + cout << x << " "; |
| 64 | + cout << "\n"; |
| 65 | + |
| 66 | + vi area(10, 0); |
| 67 | + rep(i, 10) { |
| 68 | + if(cnt[i] < 2) |
| 69 | + continue; |
| 70 | + |
| 71 | + int dx = abs(a[i].mxx - a[i].mnx); |
| 72 | + int dv = abs(a[i].mxv - a[i].mnv); |
| 73 | + |
| 74 | + if(dx == 0 && dv == 0) |
| 75 | + continue; |
| 76 | + |
| 77 | + //cout << "a: " << i << " " << dx << " " << dv << "\n"; |
| 78 | + |
| 79 | + if(dx == 0) { |
| 80 | + int ff =max(a[i].mxx - 0, n - 1 - a[i].mxx); |
| 81 | + area[i] = dv * ff; |
| 82 | + } else if(dv == 0) { |
| 83 | + int ff =max(a[i].mxv - 0, n - 1 - a[i].mxv); |
| 84 | + area[i] = dx * ff; |
| 85 | + } else { |
| 86 | + int ff1 = max(a[i].mxx - 0, n - 1 - a[i].mxx); |
| 87 | + int ff2 = max(a[i].mnx - 0, n - 1 - a[i].mnx); |
| 88 | + int ff = max(ff1, ff2); |
| 89 | + int a1 = dv * ff; |
| 90 | + int fff1 =max(a[i].mxv - 0, n - 1 - a[i].mxv); |
| 91 | + int fff2 = max(a[i].mnv - 0, n - 1 - a[i].mnv); |
| 92 | + int fff = max(fff1, fff2); |
| 93 | + int a2 = dx * fff; |
| 94 | + area[i] = max(a1, a2); |
| 95 | + if(n-ff1 == 0 || ff1 == 0 || n-ff2 == 0 || ff2 == 0) |
| 96 | + area[i] = max(area[i], ff1 * ff2); |
| 97 | + if(n-fff1 == 0 || fff1 == 0 || n-fff2 == 0 || fff2 == 0) |
| 98 | + area[i] = max(area[i], fff1 * fff2); |
| 99 | + } |
| 100 | + } |
| 101 | + |
| 102 | + vi area2(10, 0); |
| 103 | + rep(i, 10) { |
| 104 | + if(cnt[i] < 2) |
| 105 | + continue; |
| 106 | + |
| 107 | + int dx = abs(b[i].mxx - b[i].mnx); |
| 108 | + int dv = abs(b[i].mxv - b[i].mnv); |
| 109 | + |
| 110 | + if(dx == 0 && dv == 0) |
| 111 | + continue; |
| 112 | + |
| 113 | + //cout << "b: " << i << " " << dx << " " << dv << "\n"; |
| 114 | + |
| 115 | + if(dx == 0) { |
| 116 | + int ff =max(b[i].mxx - 0, n - 1 - b[i].mxx); |
| 117 | + area2[i] = dv * ff; |
| 118 | + } else if(dv == 0) { |
| 119 | + int ff =max(b[i].mxv - 0, n - 1 - b[i].mxv); |
| 120 | + area2[i] = dx * ff; |
| 121 | + } else { |
| 122 | + int ff1 = max(b[i].mxx - 0, n - 1 - b[i].mxx); |
| 123 | + int ff2 = max(b[i].mnx - 0, n - 1 - b[i].mnx); |
| 124 | + int ff = max(ff1, ff2); |
| 125 | + int a1 = dv * ff; |
| 126 | + int fff1 =max(b[i].mxv - 0, n - 1 - b[i].mxv); |
| 127 | + int fff2 = max(b[i].mnv - 0, n - 1 - b[i].mnv); |
| 128 | + int fff = max(fff1, fff2); |
| 129 | + int a2 = dx * fff; |
| 130 | + area2[i] = max(a1, a2); |
| 131 | + if(n-ff1 == 0 || ff1 == 0 || n-ff2 == 0 || ff2 == 0) |
| 132 | + area2[i] = max(area2[i], ff1 * ff2); |
| 133 | + if(n-fff1 == 0 || fff1 == 0 || n-fff2 == 0 || fff2 == 0) |
| 134 | + area2[i] = max(area2[i], fff1 * fff2); |
| 135 | + } |
| 136 | + } |
| 137 | + |
| 138 | + |
| 139 | + //for(int x: area) |
| 140 | + //cout << x << " "; |
| 141 | + //cout << "\n"; |
| 142 | + //for(int x: area2) |
| 143 | + //cout << x << " "; |
| 144 | + //cout << "\n"; |
| 145 | + |
| 146 | + rep(i, 10) |
| 147 | + cout << max(area[i], area2[i]) << " "; |
| 148 | + cout << "\n"; |
| 149 | + |
| 150 | + |
| 151 | +} |
| 152 | + |
| 153 | +int main() { |
| 154 | + ios::sync_with_stdio(false); |
| 155 | + |
| 156 | + int tests; |
| 157 | + cin >> tests; |
| 158 | + |
| 159 | + while (tests-- > 0) |
| 160 | + run_case(); |
| 161 | +} |
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