#include <bits/stdc++.h> using namespace std; #define REP(i, n) for (int i = 0; i < (n); ++i) #define SIZE(a) ((int)(a).size()) typedef long long ll; const ll linf = 1e18; const int N = 2005; struct pt { int x, y, id; friend bool operator <(const pt& a, const pt& b) { return make_tuple(a.x, a.y, a.id) < make_tuple(b.x, b.y, b.id); } }; int n; pt pts[N]; ll result[N]; ll dist[N]; ll d[N]; int mnX, mxX, mnY, mxY; multiset<ll> s, bt; priority_queue<pair<ll,ll>> q; int good[N]; int check(ll cand) { int j = 0; while (j < n && pts[0].x == pts[j].x) ++j; --j; REP(iter, n) if (pts[iter].y == pts[j].y && cand > dist[pts[iter].id]) return false; while (!q.empty()) q.pop(); s.clear(); ll by, bx = mxX + 1; REP(i, n) if (pts[0].x == pts[i].x) by = pts[i].y; by += cand; by = max<ll>(by, mxY + 1); bt.insert(mnY); s.insert(by); ll total = 0; REP(i, n) { while (!q.empty() && -q.top().first <= pts[i].x) { s.erase(s.find(q.top().second)); q.pop(); } if (total < 1LL*(pts[i].x-mnX-1)*(by-mnY)) return false; auto it = s.upper_bound(pts[i].y); ll bound = min(dist[pts[i].id], *it - pts[i].y); --it; it = bt.upper_bound(pts[i].y); --it; if (*it < pts[i].y) { return false; } result[pts[i].id] = bound; total += bound*bound; bx = max(bx, pts[i].x + bound); s.insert(pts[i].y); bt.insert(pts[i].y + bound); q.push({-(pts[i].x + bound), pts[i].y}); } ll S = (bx - mnX)*(by - mnY); return S == total; } int sum = 0; void solve() { n = 2000; cin >> n; // sum += n; REP(i, n) dist[i] = linf; REP(i, n) cin >> pts[i].x >> pts[i].y, pts[i].id = i; // REP(i, n) pts[i].x = i, pts[i].y = n - i, pts[i].id = i; if (n == 1) { cout << "TAK 1\n"; return; } REP(iter, 2) { REP(i, n) swap(pts[i].x, pts[i].y); sort(pts, pts + n); if (pts[0].x == pts[n-1].x) { continue; } REP(i, n) REP(j, n) if (i != j) { if (pts[i].x <= pts[j].x && pts[i].y <= pts[j].y) { dist[pts[i].id] = min<ll>(dist[pts[i].id], max(pts[j].x-pts[i].x, pts[j].y-pts[i].y)); } } mxY = -1; mxX = -1; mnY = pts[0].y; mnX = pts[0].x; REP(i, n) { mnX = min(mnX, pts[i].x); mnY = min(mnY, pts[i].y); mxX = max(mxX, pts[i].x); mxY = max(mxY, pts[i].y); } vector<ll> cands = {1}; REP(i, n) if (pts[i].x > mnX) { cands.push_back(pts[i].x - mnX); } sort(cands.begin(), cands.end()); cands.erase(unique(cands.begin(), cands.end()), cands.end()); for (auto& cand : cands) { if (check(cand)) { cout << "TAK "; REP(i, n) cout << result[i] << ' '; cout << '\n'; return; } } } cout << "NIE\n"; } int main() { ios::sync_with_stdio(false); cin.tie(0); int t = 10; cin >> t; REP(i, t) solve(); // cerr << sum << endl; return 0; }
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 | #include <bits/stdc++.h> using namespace std; #define REP(i, n) for (int i = 0; i < (n); ++i) #define SIZE(a) ((int)(a).size()) typedef long long ll; const ll linf = 1e18; const int N = 2005; struct pt { int x, y, id; friend bool operator <(const pt& a, const pt& b) { return make_tuple(a.x, a.y, a.id) < make_tuple(b.x, b.y, b.id); } }; int n; pt pts[N]; ll result[N]; ll dist[N]; ll d[N]; int mnX, mxX, mnY, mxY; multiset<ll> s, bt; priority_queue<pair<ll,ll>> q; int good[N]; int check(ll cand) { int j = 0; while (j < n && pts[0].x == pts[j].x) ++j; --j; REP(iter, n) if (pts[iter].y == pts[j].y && cand > dist[pts[iter].id]) return false; while (!q.empty()) q.pop(); s.clear(); ll by, bx = mxX + 1; REP(i, n) if (pts[0].x == pts[i].x) by = pts[i].y; by += cand; by = max<ll>(by, mxY + 1); bt.insert(mnY); s.insert(by); ll total = 0; REP(i, n) { while (!q.empty() && -q.top().first <= pts[i].x) { s.erase(s.find(q.top().second)); q.pop(); } if (total < 1LL*(pts[i].x-mnX-1)*(by-mnY)) return false; auto it = s.upper_bound(pts[i].y); ll bound = min(dist[pts[i].id], *it - pts[i].y); --it; it = bt.upper_bound(pts[i].y); --it; if (*it < pts[i].y) { return false; } result[pts[i].id] = bound; total += bound*bound; bx = max(bx, pts[i].x + bound); s.insert(pts[i].y); bt.insert(pts[i].y + bound); q.push({-(pts[i].x + bound), pts[i].y}); } ll S = (bx - mnX)*(by - mnY); return S == total; } int sum = 0; void solve() { n = 2000; cin >> n; // sum += n; REP(i, n) dist[i] = linf; REP(i, n) cin >> pts[i].x >> pts[i].y, pts[i].id = i; // REP(i, n) pts[i].x = i, pts[i].y = n - i, pts[i].id = i; if (n == 1) { cout << "TAK 1\n"; return; } REP(iter, 2) { REP(i, n) swap(pts[i].x, pts[i].y); sort(pts, pts + n); if (pts[0].x == pts[n-1].x) { continue; } REP(i, n) REP(j, n) if (i != j) { if (pts[i].x <= pts[j].x && pts[i].y <= pts[j].y) { dist[pts[i].id] = min<ll>(dist[pts[i].id], max(pts[j].x-pts[i].x, pts[j].y-pts[i].y)); } } mxY = -1; mxX = -1; mnY = pts[0].y; mnX = pts[0].x; REP(i, n) { mnX = min(mnX, pts[i].x); mnY = min(mnY, pts[i].y); mxX = max(mxX, pts[i].x); mxY = max(mxY, pts[i].y); } vector<ll> cands = {1}; REP(i, n) if (pts[i].x > mnX) { cands.push_back(pts[i].x - mnX); } sort(cands.begin(), cands.end()); cands.erase(unique(cands.begin(), cands.end()), cands.end()); for (auto& cand : cands) { if (check(cand)) { cout << "TAK "; REP(i, n) cout << result[i] << ' '; cout << '\n'; return; } } } cout << "NIE\n"; } int main() { ios::sync_with_stdio(false); cin.tie(0); int t = 10; cin >> t; REP(i, t) solve(); // cerr << sum << endl; return 0; } |