1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
#include <bits/stdc++.h>
using namespace std;

#define REP(i, n) for (int i=0, ___=(n); i<___; ++i)
#define FOR(i, a, b) for (int i=(a), ___=(b); i<=___; ++i)
#define FORD(i, a, b) for (int i=(a), ___=(b); i>=___; --i)

int read() { int n; cin >> n; return n; }
typedef long long ll;

const int big = 1111111111;

#define mp make_pair

vector<int> solve() {
	int n = read();
	vector<int> x(n), y(n);
	int xmin = big;
	int ymin = big;
	REP(i, n) {
		x[i] = read();
		y[i] = read();
		xmin = std::min(xmin, x[i]);
		ymin = std::min(ymin, y[i]);
	}
	int xmax = xmin;
	int ymax = ymin;
	vector<int> res(n, -1);

	if (n == 1) {
		res[0] = 1;
		return res;
	}

	long long sum = 0;

	bool first = false;
	vector<pair<pair<int, int>, int> > todo;
	REP(i, n) {
		if (x[i] == xmin && y[i] == ymin) first = true;
		int d = big;
		REP(j, n) if (i != j) {
			if (x[j] >= x[i] && y[j] >= y[i]) {
				d = std::min(d, std::max(x[j] - x[i], y[j] - y[i]));
			}
		}
		if (d == big) {
			todo.push_back(mp(mp(x[i], y[i]), i));
			
		} else {
			res[i] = d;
			xmax = std::max(xmax, x[i] + d);
			ymax = std::max(ymax, y[i] + d);
			sum += 1LL * d * d;
		}
	}
	if (!first) return vector<int>();
	sort(todo.begin(), todo.end());

	if (todo.size() == 1) {
		int i = todo[0].second;
		if (y[i] > ymin) {
			int d = xmax - x[i];
			res[i] = d;
			ymax = std::max(ymax, y[i] + d);
			ll goal = 1LL * (xmax - xmin) * (ymax - ymin);
			if (goal != sum + 1LL * d * d) return vector<int>();
			return res;
		}
		if (x[i] > xmin) {
			int d = ymax - y[i];
			res[i] = d;
			xmax = std::max(xmax, x[i] + d);
			ll goal = 1LL * (xmax - xmin) * (ymax - ymin);
			if (goal != sum + 1LL * d * d) return vector<int>();
			return res;
		}
		return vector<int>();
	}

	REP(i, todo.size()-1) {
		ll s = sum;
		int xx = xmax;
		int yy = ymax;
		int ii = todo[i].second;
		vector<pair<int, int> > v;
		FOR(j, i+1, todo.size()-1) {
			int jj = todo[j].second;
			while (!v.empty() && v.back().first <= x[jj]) v.pop_back();
			int d = (v.empty() ? y[ii] : v.back().second) - y[jj];
			s += 1LL * d * d;
			res[jj] = d;
			xx = std::max(xx, x[jj] + d);
			v.push_back(mp(x[jj] + d, y[jj]));
		}
		int d = xx - x[ii];
		res[ii] = d;
		s += 1LL * d * d;
		yy = std::max(yy, y[ii] + d);
		v.clear();
		FORD(j, i-1, 0) {
			int jj = todo[j].second;
			while (!v.empty() && v.back().second <= y[jj]) v.pop_back();
			int d = (v.empty() ? x[ii] : v.back().first) - x[jj];
			s += 1LL * d * d;
			res[jj] = d;
			yy = std::max(yy, y[jj] + d);
			v.push_back(mp(x[jj], y[jj] + d));
		}
		ll goal = 1LL * (xmax - xmin) * (ymax - ymin);
		if (goal == s) return res;
	}

	FOR(i, todo.size()-1, todo.size()-1) {
		ll s = sum;
		int xx = xmax;
		int yy = ymax;
		int ii = todo[i].second;
		vector<pair<int, int> > v;
		FORD(j, i-1, 0) {
			int jj = todo[j].second;
			while (!v.empty() && v.back().second <= y[jj]) v.pop_back();
			int d = (v.empty() ? x[ii] : v.back().first) - x[jj];
			s += 1LL * d * d;
			res[jj] = d;
			yy = std::max(yy, y[jj] + d);
			v.push_back(mp(x[jj], y[jj] + d));
		}
		int d = yy - y[ii];
		res[ii] = d;
		s += 1LL * d * d;
		xx = std::max(xx, x[ii] + d);
		v.clear();
		FOR(j, i+1, todo.size()-1) {
			int jj = todo[j].second;
			while (!v.empty() && v.back().first <= x[jj]) v.pop_back();
			int d = (v.empty() ? y[ii] : v.back().second) - y[jj];
			s += 1LL * d * d;
			res[jj] = d;
			xx = std::max(xx, x[jj] + d);
			v.push_back(mp(x[jj] + d, y[jj]));
		}
		ll goal = 1LL * (xmax - xmin) * (ymax - ymin);
		if (goal == s) return res;
	}

	return vector<int>();
}

int main() {
	int t = read();
	while (t--) {
		vector<int> res = solve();
		if (res.empty()) {
			cout << "NIE\n";
		} else {
			cout << "TAK";
			REP(i, res.size()) cout << " " << res[i];
			cout << "\n";
		}
	}

	return 0;
}