#include <bits/stdc++.h> using namespace std; #define PII pair<int, int> #define PLL pair<LL, LL> #define VI vector<int> #define VPII vector<PII> #define LL long long #define LD long double #define f first #define s second #define MP make_pair #define PB push_back #define endl '\n' #define ALL(c) (c).begin(), (c).end() #define SIZ(c) (int)(c).size() #define REP(i, n) for(int i = 0; i < (int)(n); ++i) #define FOR(i, b, e) for(int i = (b); i <= (int)(e); ++i) #define FORD(i, b, e) for(int i = (b); i >= (int)(e); --i) #define sim template<class n sim, class s> ostream & operator << (ostream &p, pair<n, s> x) {return p << "<" << x.f << ", " << x.s << ">";} sim> auto operator << (ostream &p, n y) -> typename enable_if<!is_same<n, string>::value, decltype(y.begin(), p)>::type {int o = 0; p << "{"; for(auto c: y) {if(o++) p << ", "; p << c;} return p << "}";} void dor() {cerr << endl;} sim, class...s> void dor(n p, s...y) {cerr << p << " "; dor(y...);} sim, class s> void mini(n &p, s y) {if(p>y) p = y;} sim, class s> void maxi(n &p, s y) {if(p<y) p = y;} #ifdef DEB #define debug(...) dor(__FUNCTION__, ":", __LINE__, ": ", __VA_ARGS__) #else #define debug(...) #endif #define I(x) #x " =", (x), " " #define A(a, i) #a "[" #i " =", i, "] =", a[i], " " #define PLL pair<LL, LL> // ****************************************************************************** #define no {puts("NIE");return;} void solve() { int n; scanf("%d", &n); LL sum1 = 0, sum2 = 0; VPII mam, cel; FOR(i, 1, n) { int l, a, b; scanf("%d%d%d", &l, &a, &b); sum1 += (LL)l * a; sum2 += (LL)l * b; mam.PB(MP(a, l)); cel.PB(MP(b, l)); } if(sum1 != sum2)no; sort(ALL(mam)); sort(ALL(cel)); LL ile = mam.back().s; LL cieplo = mam.back().f * ile; mam.pop_back(); LL cieplo2 = 0; LL ile2 = 0; while(cel.size()) { LL temp_cel = cel.back().f; LL ile_cel = cel.back().s; LL cieplo_cel = temp_cel * ile_cel; // ile <= 1e6 * n if(ile <= 0 || cieplo > temp_cel * ile || (cieplo == temp_cel * ile && ile < ile_cel)) { if(ile2 == 0) { if(mam.size() == 0)no; ile2 = mam.back().s; cieplo2 = mam.back().f * ile2; mam.pop_back(); } LL cieplo_sum = (cieplo+cieplo2); LL ile_sum = ile+ile2; if(cieplo_sum >= temp_cel * ile_sum) { cieplo = cieplo_sum; ile = ile + ile2; cieplo2 = ile2 = 0; } else { LL temp2 = cieplo2 / ile2; LL biore = (temp_cel*ile-cieplo) / (temp2-temp_cel); // chce podłogę if(ile + biore < ile_cel)no; cieplo -= cieplo_cel; ile -= ile_cel; cel.pop_back(); } } else { if(cieplo != temp_cel * ile)no; cieplo -= cieplo_cel; ile -= ile_cel; if(ile < 0)no; cel.pop_back(); } } puts("TAK"); } int main() { int z; scanf("%d", &z); while(z--)solve(); }
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 PII pair<int, int> #define PLL pair<LL, LL> #define VI vector<int> #define VPII vector<PII> #define LL long long #define LD long double #define f first #define s second #define MP make_pair #define PB push_back #define endl '\n' #define ALL(c) (c).begin(), (c).end() #define SIZ(c) (int)(c).size() #define REP(i, n) for(int i = 0; i < (int)(n); ++i) #define FOR(i, b, e) for(int i = (b); i <= (int)(e); ++i) #define FORD(i, b, e) for(int i = (b); i >= (int)(e); --i) #define sim template<class n sim, class s> ostream & operator << (ostream &p, pair<n, s> x) {return p << "<" << x.f << ", " << x.s << ">";} sim> auto operator << (ostream &p, n y) -> typename enable_if<!is_same<n, string>::value, decltype(y.begin(), p)>::type {int o = 0; p << "{"; for(auto c: y) {if(o++) p << ", "; p << c;} return p << "}";} void dor() {cerr << endl;} sim, class...s> void dor(n p, s...y) {cerr << p << " "; dor(y...);} sim, class s> void mini(n &p, s y) {if(p>y) p = y;} sim, class s> void maxi(n &p, s y) {if(p<y) p = y;} #ifdef DEB #define debug(...) dor(__FUNCTION__, ":", __LINE__, ": ", __VA_ARGS__) #else #define debug(...) #endif #define I(x) #x " =", (x), " " #define A(a, i) #a "[" #i " =", i, "] =", a[i], " " #define PLL pair<LL, LL> // ****************************************************************************** #define no {puts("NIE");return;} void solve() { int n; scanf("%d", &n); LL sum1 = 0, sum2 = 0; VPII mam, cel; FOR(i, 1, n) { int l, a, b; scanf("%d%d%d", &l, &a, &b); sum1 += (LL)l * a; sum2 += (LL)l * b; mam.PB(MP(a, l)); cel.PB(MP(b, l)); } if(sum1 != sum2)no; sort(ALL(mam)); sort(ALL(cel)); LL ile = mam.back().s; LL cieplo = mam.back().f * ile; mam.pop_back(); LL cieplo2 = 0; LL ile2 = 0; while(cel.size()) { LL temp_cel = cel.back().f; LL ile_cel = cel.back().s; LL cieplo_cel = temp_cel * ile_cel; // ile <= 1e6 * n if(ile <= 0 || cieplo > temp_cel * ile || (cieplo == temp_cel * ile && ile < ile_cel)) { if(ile2 == 0) { if(mam.size() == 0)no; ile2 = mam.back().s; cieplo2 = mam.back().f * ile2; mam.pop_back(); } LL cieplo_sum = (cieplo+cieplo2); LL ile_sum = ile+ile2; if(cieplo_sum >= temp_cel * ile_sum) { cieplo = cieplo_sum; ile = ile + ile2; cieplo2 = ile2 = 0; } else { LL temp2 = cieplo2 / ile2; LL biore = (temp_cel*ile-cieplo) / (temp2-temp_cel); // chce podłogę if(ile + biore < ile_cel)no; cieplo -= cieplo_cel; ile -= ile_cel; cel.pop_back(); } } else { if(cieplo != temp_cel * ile)no; cieplo -= cieplo_cel; ile -= ile_cel; if(ile < 0)no; cel.pop_back(); } } puts("TAK"); } int main() { int z; scanf("%d", &z); while(z--)solve(); } |