#include<bits/stdc++.h>
using namespace std;
#define st first
#define nd second
typedef long long ll;
bool solve() {
int n;
cin >> n;
ll pa =0, pb = 0;
ll cntall = 0;
vector<pair<ll,ll> > A(n),B(n);
for(int i=0;i<n;i++) {
int l,a,b;
cin >> l >> a >> b;
cntall += l;
pa += l*a;
pb += l*b;
A[i] = {a,l};
B[i] = {b,l};
}
if(pa != pb) {
return false;
}
sort(A.begin(),A.end());
sort(B.begin(),B.end());
ll cntl = 0,suml = 0, cntr=0,sumr = 0;
for(int i=0;i<n;i++) {
sumr += A[i].st*A[i].nd;
cntr += A[i].nd;
}
int j = 0;
for(int i=0;i<n;i++) {
if(B[i].st*cntall <= pa) {
while(j < n && A[j].st <= B[i].st) {
sumr -= A[j].st*A[j].nd;
cntr -= A[j].nd;
suml += A[j].st*A[j].nd;
cntl += A[j].nd;
j++;
}
}
else {
while(j < n && A[j].st < B[i].st) {
sumr -= A[j].st*A[j].nd;
cntr -= A[j].nd;
suml += A[j].st*A[j].nd;
cntl += A[j].nd;
j++;
}
}
if(B[i].st*cntall <= pa) {
if((B[i].nd-cntl) > (B[i].st*cntl - suml)*(long double)cntr/(sumr-B[i].st*cntr)) {
return false;
}
}
else {
if((B[i].nd-cntr) > (sumr - B[i].st*cntr)*(long double)cntl/(B[i].st*cntl-suml)) {
return false;
}
}
}
return true;
}
int32_t main(){
ios::sync_with_stdio(false);
cin.tie(0);
int t;
cin >> t;
while(t--) {
if(solve())
cout<<"TAK\n";
else
cout<<"NIE\n";
}
}
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 | #include<bits/stdc++.h> using namespace std; #define st first #define nd second typedef long long ll; bool solve() { int n; cin >> n; ll pa =0, pb = 0; ll cntall = 0; vector<pair<ll,ll> > A(n),B(n); for(int i=0;i<n;i++) { int l,a,b; cin >> l >> a >> b; cntall += l; pa += l*a; pb += l*b; A[i] = {a,l}; B[i] = {b,l}; } if(pa != pb) { return false; } sort(A.begin(),A.end()); sort(B.begin(),B.end()); ll cntl = 0,suml = 0, cntr=0,sumr = 0; for(int i=0;i<n;i++) { sumr += A[i].st*A[i].nd; cntr += A[i].nd; } int j = 0; for(int i=0;i<n;i++) { if(B[i].st*cntall <= pa) { while(j < n && A[j].st <= B[i].st) { sumr -= A[j].st*A[j].nd; cntr -= A[j].nd; suml += A[j].st*A[j].nd; cntl += A[j].nd; j++; } } else { while(j < n && A[j].st < B[i].st) { sumr -= A[j].st*A[j].nd; cntr -= A[j].nd; suml += A[j].st*A[j].nd; cntl += A[j].nd; j++; } } if(B[i].st*cntall <= pa) { if((B[i].nd-cntl) > (B[i].st*cntl - suml)*(long double)cntr/(sumr-B[i].st*cntr)) { return false; } } else { if((B[i].nd-cntr) > (sumr - B[i].st*cntr)*(long double)cntl/(B[i].st*cntl-suml)) { return false; } } } return true; } int32_t main(){ ios::sync_with_stdio(false); cin.tie(0); int t; cin >> t; while(t--) { if(solve()) cout<<"TAK\n"; else cout<<"NIE\n"; } } |
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