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35 changes: 35 additions & 0 deletions 3623. Count Number of Trapezoids I
Original file line number Diff line number Diff line change
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#include <bits/stdc++.h>
using namespace std;

class Solution {
public:
int countTrapezoids(vector<vector<int>>& points) {
const long long MOD = 1000000007LL;
const long long INV2 = (MOD + 1) / 2;

unordered_map<long long, int> freq;
freq.reserve(points.size() * 2);
for (auto &p : points) {
long long y = p[1];
++freq[y];
}

long long sumF = 0;
long long sumF2 = 0;

for (auto &kv : freq) {
long long c = kv.second;
if (c >= 2) {
long long f = c * (c - 1) / 2 % MOD;
sumF = (sumF + f) % MOD;
sumF2 = (sumF2 + f * f % MOD) % MOD;
}
}

long long ans = (sumF * sumF) % MOD;
ans = (ans - sumF2 + MOD) % MOD;
ans = ans * INV2 % MOD;

return (int)ans;
}
};
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