#include <bits/stdc++.h> using namespace std; int main() { cin.tie(NULL); cout.tie(NULL); ios_base::sync_with_stdio(false); unordered_map<int, vector<pair<int, int>>> pairsMap; unordered_map<int, vector<int>> diagonalToHsMap; set<set<int>> dimsSet; int n; cin >> n; // n = 7; for (int i = 1; i <= n; i++) { for (int j = i; j <= n; j++) { pairsMap[i * i + j * j].push_back( { i, j }); } } int baseDiagonal; for (int i = 2; i <= n; i++) { for (int j = 1; j < i; j++) { baseDiagonal = i * i - j * j; if (pairsMap.count(baseDiagonal) > 0) { diagonalToHsMap[baseDiagonal].push_back(j); } } } long long int result = 0; int a, b; for (auto diagWithHs : diagonalToHsMap) { int dialgonal = diagWithHs.first; vector<int> heights = diagWithHs.second; vector<pair<int, int>> baseSizes = pairsMap[dialgonal]; for (pair<int, int> baseSize : baseSizes) { a = baseSize.first; b = baseSize.second; for (int h : heights) { dimsSet.insert( { a, b, h }); } } } for (set<int> dims : dimsSet) { result += dims.size(); } cout << result << 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 | #include <bits/stdc++.h> using namespace std; int main() { cin.tie(NULL); cout.tie(NULL); ios_base::sync_with_stdio(false); unordered_map<int, vector<pair<int, int>>> pairsMap; unordered_map<int, vector<int>> diagonalToHsMap; set<set<int>> dimsSet; int n; cin >> n; // n = 7; for (int i = 1; i <= n; i++) { for (int j = i; j <= n; j++) { pairsMap[i * i + j * j].push_back( { i, j }); } } int baseDiagonal; for (int i = 2; i <= n; i++) { for (int j = 1; j < i; j++) { baseDiagonal = i * i - j * j; if (pairsMap.count(baseDiagonal) > 0) { diagonalToHsMap[baseDiagonal].push_back(j); } } } long long int result = 0; int a, b; for (auto diagWithHs : diagonalToHsMap) { int dialgonal = diagWithHs.first; vector<int> heights = diagWithHs.second; vector<pair<int, int>> baseSizes = pairsMap[dialgonal]; for (pair<int, int> baseSize : baseSizes) { a = baseSize.first; b = baseSize.second; for (int h : heights) { dimsSet.insert( { a, b, h }); } } } for (set<int> dims : dimsSet) { result += dims.size(); } cout << result << endl; return 0; } |