#include <bits/stdc++.h>
using namespace std;
struct cup
{
long long temp, volume;
cup () {}
cup (const long long& a, const long long& b) : temp(a), volume(b) {}
bool operator<(const cup& a) const { return temp < a.temp; }
};
bool solve(vector<cup>& in, vector<cup>& out)
{
vector<long long> index;
long long in_width = 0, out_width = 0, deficit = 0;
for (vector<cup>::iterator i = in.begin(), j = out.begin(); i != in.end() || j != out.end();)
{
if (i == in.end())
{
out_width += j->volume;
index.push_back(out_width);
j++;
}
else if (j == out.end())
{
in_width += i->volume;
index.push_back(in_width);
i++;
}
else if (in_width + i->volume < out_width + j->volume)
{
in_width += i->volume;
i++;
index.push_back(in_width);
}
else
{
out_width += j->volume;
index.push_back(out_width);
j++;
}
}
index.resize(unique(index.begin(), index.end()) - index.begin());
vector<cup>::iterator i = in.begin(), j = out.begin();
in_width = out_width = 0;
long long old = 0;
for (vector<long long>::iterator at = index.begin(); at != index.end(); at++)
{
if (in_width + i->volume < *at)
{
in_width += i->volume;
++i;
}
if (out_width + j->volume < *at)
{
out_width += j->volume;
++j;
}
deficit -= (*at - old) * i->temp;
deficit += (*at - old) * j->temp;
if (deficit < 0)
return false;
//cout << deficit << ' ' << *at << ' ' << old << ' ' << i - in.begin() << ' ' << j - out.begin() << endl;
old = *at;
}
return !deficit;
}
void exec()
{
int n; cin >> n;
vector<cup> in, out;
for (int i = 0; i < n; i++)
{
int v, a, b; cin >> v >> a >> b;
in.push_back(cup(a, v));
out.push_back(cup(b, v));
}
sort(in.begin(), in.end());
sort(out.begin(), out.end());
cout << (solve(in, out) ? "TAK\n" : "NIE\n");
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int z; cin >> z;
while (z--)
exec();
}
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 | #include <bits/stdc++.h> using namespace std; struct cup { long long temp, volume; cup () {} cup (const long long& a, const long long& b) : temp(a), volume(b) {} bool operator<(const cup& a) const { return temp < a.temp; } }; bool solve(vector<cup>& in, vector<cup>& out) { vector<long long> index; long long in_width = 0, out_width = 0, deficit = 0; for (vector<cup>::iterator i = in.begin(), j = out.begin(); i != in.end() || j != out.end();) { if (i == in.end()) { out_width += j->volume; index.push_back(out_width); j++; } else if (j == out.end()) { in_width += i->volume; index.push_back(in_width); i++; } else if (in_width + i->volume < out_width + j->volume) { in_width += i->volume; i++; index.push_back(in_width); } else { out_width += j->volume; index.push_back(out_width); j++; } } index.resize(unique(index.begin(), index.end()) - index.begin()); vector<cup>::iterator i = in.begin(), j = out.begin(); in_width = out_width = 0; long long old = 0; for (vector<long long>::iterator at = index.begin(); at != index.end(); at++) { if (in_width + i->volume < *at) { in_width += i->volume; ++i; } if (out_width + j->volume < *at) { out_width += j->volume; ++j; } deficit -= (*at - old) * i->temp; deficit += (*at - old) * j->temp; if (deficit < 0) return false; //cout << deficit << ' ' << *at << ' ' << old << ' ' << i - in.begin() << ' ' << j - out.begin() << endl; old = *at; } return !deficit; } void exec() { int n; cin >> n; vector<cup> in, out; for (int i = 0; i < n; i++) { int v, a, b; cin >> v >> a >> b; in.push_back(cup(a, v)); out.push_back(cup(b, v)); } sort(in.begin(), in.end()); sort(out.begin(), out.end()); cout << (solve(in, out) ? "TAK\n" : "NIE\n"); } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); int z; cin >> z; while (z--) exec(); } |
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