#include <stdio.h> #include <vector> #include <map> #include <unordered_set> #include <queue> #include <unordered_map> #include <math.h> #include <limits.h> #include <algorithm> #include <functional> #include <iterator> #include <algorithm> #include <string> #include <iostream> using namespace std; #define pb push_back #define mp make_pair typedef long long ll; typedef unsigned long long ull; using namespace std; // <temperature, amount> vector<pair<ll,ll>> exists; vector<pair<ll,ll>> needs; bool additional_check_isok() { int n_idx = 0; int e_idx = 0; ll need_temp = 0; ll need_amount = 0; ll exists_temp = 0; ll exists_amount = 0; bool check = true; while (n_idx < needs.size() || e_idx < exists.size()) { if (check) { if (exists[e_idx] > needs[n_idx]) { return false; } check = false; } if (e_idx < exists.size() && (n_idx == needs.size() || exists[e_idx].first < needs[n_idx].first)) { exists_temp += exists[e_idx].first * exists[e_idx].second; exists_amount += exists[e_idx].second; e_idx++; if (need_temp == exists_temp && need_amount == exists_amount) { check = true; } } else { //must be > // expected temp b bigger than current temp + 1 need_temp += needs[n_idx].first * needs[n_idx].second; need_amount += needs[n_idx].second; n_idx++; if (need_temp == exists_temp && need_amount == exists_amount) { return false; } ll b_amount = need_amount - exists_amount; if (b_amount > 0) { float tb = (1.0f * need_temp / need_amount * (exists_amount + b_amount) - exists_amount * (1.0f * exists_temp / exists_amount)) / b_amount; if (tb < exists[e_idx].first - 1) { return false; } } } } return need_temp == exists_temp; } int main() { ios_base::sync_with_stdio(0); cin.tie(NULL); int T; cin >> T; while (T --> 0) { int n; ll li, ai, bi; cin >> n; exists.clear(); needs.clear(); vector<pair<ll,ll>> e1(n), e2; vector<pair<ll,ll>> n1(n), n2; for (int i=0; i<n; ++i) { cin >> li >> ai >> bi; e1[i] = mp(ai, li); n1[i] = mp(bi, li); } sort(e1.begin(), e1.end()); sort(n1.begin(), n1.end()); for (auto p: e1) { if (e2.size() > 0 && e2.back().first == p.first) { e2.back().second += p.second; } else { e2.pb(p); } } for (auto p: n1) { if (n2.size() > 0 && n2.back().first == p.first) { n2.back().second += p.second; } else { n2.pb(p); } } int n_idx = 0; int e_idx = 0; while (n_idx < n2.size() || e_idx < e2.size()) { if (n_idx == n2.size()) { exists.pb(e2[e_idx++]); } else if (e_idx == e2.size()) { needs.pb(n2[n_idx++]); } else { if (n2[n_idx].first < e2[e_idx].first) { needs.pb(n2[n_idx++]); } else if (n2[n_idx].first > e2[e_idx].first) { exists.pb(e2[e_idx++]); } else { if (n2[n_idx].second < e2[e_idx].second) { exists.pb(mp(e2[e_idx].first, e2[e_idx].second - n2[n_idx].second)); n_idx++; e_idx++; } else if (n2[n_idx].second > e2[e_idx].second) { needs.pb(mp(n2[n_idx].first, n2[n_idx].second - e2[e_idx].second)); n_idx++; e_idx++; } else { n_idx++; e_idx++; } } } } bool possible = additional_check_isok(); if (possible) { cout << "TAK" << endl; } else { cout << "NIE" << 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 | #include <stdio.h> #include <vector> #include <map> #include <unordered_set> #include <queue> #include <unordered_map> #include <math.h> #include <limits.h> #include <algorithm> #include <functional> #include <iterator> #include <algorithm> #include <string> #include <iostream> using namespace std; #define pb push_back #define mp make_pair typedef long long ll; typedef unsigned long long ull; using namespace std; // <temperature, amount> vector<pair<ll,ll>> exists; vector<pair<ll,ll>> needs; bool additional_check_isok() { int n_idx = 0; int e_idx = 0; ll need_temp = 0; ll need_amount = 0; ll exists_temp = 0; ll exists_amount = 0; bool check = true; while (n_idx < needs.size() || e_idx < exists.size()) { if (check) { if (exists[e_idx] > needs[n_idx]) { return false; } check = false; } if (e_idx < exists.size() && (n_idx == needs.size() || exists[e_idx].first < needs[n_idx].first)) { exists_temp += exists[e_idx].first * exists[e_idx].second; exists_amount += exists[e_idx].second; e_idx++; if (need_temp == exists_temp && need_amount == exists_amount) { check = true; } } else { //must be > // expected temp b bigger than current temp + 1 need_temp += needs[n_idx].first * needs[n_idx].second; need_amount += needs[n_idx].second; n_idx++; if (need_temp == exists_temp && need_amount == exists_amount) { return false; } ll b_amount = need_amount - exists_amount; if (b_amount > 0) { float tb = (1.0f * need_temp / need_amount * (exists_amount + b_amount) - exists_amount * (1.0f * exists_temp / exists_amount)) / b_amount; if (tb < exists[e_idx].first - 1) { return false; } } } } return need_temp == exists_temp; } int main() { ios_base::sync_with_stdio(0); cin.tie(NULL); int T; cin >> T; while (T --> 0) { int n; ll li, ai, bi; cin >> n; exists.clear(); needs.clear(); vector<pair<ll,ll>> e1(n), e2; vector<pair<ll,ll>> n1(n), n2; for (int i=0; i<n; ++i) { cin >> li >> ai >> bi; e1[i] = mp(ai, li); n1[i] = mp(bi, li); } sort(e1.begin(), e1.end()); sort(n1.begin(), n1.end()); for (auto p: e1) { if (e2.size() > 0 && e2.back().first == p.first) { e2.back().second += p.second; } else { e2.pb(p); } } for (auto p: n1) { if (n2.size() > 0 && n2.back().first == p.first) { n2.back().second += p.second; } else { n2.pb(p); } } int n_idx = 0; int e_idx = 0; while (n_idx < n2.size() || e_idx < e2.size()) { if (n_idx == n2.size()) { exists.pb(e2[e_idx++]); } else if (e_idx == e2.size()) { needs.pb(n2[n_idx++]); } else { if (n2[n_idx].first < e2[e_idx].first) { needs.pb(n2[n_idx++]); } else if (n2[n_idx].first > e2[e_idx].first) { exists.pb(e2[e_idx++]); } else { if (n2[n_idx].second < e2[e_idx].second) { exists.pb(mp(e2[e_idx].first, e2[e_idx].second - n2[n_idx].second)); n_idx++; e_idx++; } else if (n2[n_idx].second > e2[e_idx].second) { needs.pb(mp(n2[n_idx].first, n2[n_idx].second - e2[e_idx].second)); n_idx++; e_idx++; } else { n_idx++; e_idx++; } } } } bool possible = additional_check_isok(); if (possible) { cout << "TAK" << endl; } else { cout << "NIE" << endl; } } return 0; } |