Medium
Number of Divisible Triplet Sums — C++
Full explanation · Time O(n^2) · Space O(n)
// Time: O(n^2)
// Space: O(n)
// freq table
class Solution {
public:
int divisibleTripletCount(vector<int>& nums, int d) {
int result = 0;
unordered_map<int, int> cnt;
for (int i = 0; i < size(nums); ++i) {
for (int j = i + 1; j < size(nums); ++j) {
if (cnt.count((nums[i] + nums[j]) % d)) {
result += cnt[(nums[i] + nums[j]) % d];
}
}
++cnt[((-nums[i]) % d + d) % d];
}
return result;
}
};
// Time: O(n^2)
// Space: O(n^2)
// freq table
class Solution2 {
public:
int divisibleTripletCount(vector<int>& nums, int d) {
int result = 0;
unordered_map<int, int> cnt;
for (int i = 0; i < size(nums); ++i) {
if (cnt.count(nums[i] % d)) {
result += cnt[nums[i] % d];
}
for (int j = 0; j < i; ++j) {
++cnt[(-(nums[i] + nums[j]) % d + d) % d];
}
}
return result;
}
};
// Time: O(n^2)
// Space: O(n)
// freq table
class Solution3 {
public:
int divisibleTripletCount(vector<int>& nums, int d) {
int result = 0;
for (int i = 0; i < size(nums); ++i) {
unordered_map<int, int> cnt;
for (int j = i + 1; j < size(nums); ++j) {
if (cnt.count(nums[j] % d)) {
result += cnt[nums[j] % d];
}
++cnt[(-(nums[i] + nums[j]) % d + d) % d];
}
}
return result;
}
};