leetcode

Daily Problem, 2 Random, 1 Update

5 files changed, 158 insertions(+), 23 deletions(-)

diff --git a/ Problems/0327.cpp b/ Problems/0327.cpp

@@ -0,0 +1,64 @@

class SegmentTree {

const int n;

vector<long long> t = vector<long long>(2 * n);

public:

SegmentTree(int n) : n(n) {}

int sum(int l, int r) const {

int res = 0;

for (l += n, r += n; l < r; l /= 2, r /= 2) {

if (l & 1) res += t[l++];

if (r & 1) res += t[--r];

}

return res;

}

void update(int p) {

for (t[p += n]++; p > 1; p /= 2)

t[p / 2] = t[p] + t[p ^ 1];

}

};

class Solution {

public:

int countRangeSum(const vector<int> &nums, int lower, int upper) const {

const int n = size(nums);

vector<long long> prefix(n + 1);

for (int i = 0; i < n; i++) {

prefix[i + 1] = 1ll * prefix[i] + nums[i];

}

vector<long long> possible;

for (const long long n : prefix) {

possible.push_back(n);

possible.push_back(n - lower);

possible.push_back(n - upper);

}

const int m = size(possible);

static int idxs[300004];

iota(idxs, idxs + m, 0);

sort(idxs, idxs + m, [&](int a, int b) { return possible[a] < possible[b]; });

static int rev[300004];

for (int i = m - 2, cnt = rev[idxs[m - 1]] = m - 1; i >= 0; i--) {

if (possible[idxs[i]] != possible[idxs[i + 1]]) cnt--;

rev[idxs[i]] = cnt;

}

int res = 0;

SegmentTree seg(size(possible));

for (int i = 0; i <= n; i++) {

const int low = rev[i * 3 + 2];

const int high = rev[i * 3 + 1];

res += seg.sum(low, high + 1);

seg.update(rev[i * 3]);

}

return res;

}

};

diff --git a/ Problems/0493.cpp b/ Problems/0493.cpp

@@ -1,11 +1,9 @@ class SegmentTree { const int n;

vector<int> t = vector<int>(2 * n);

vector<int> t = vector<int>(2 * n, 1);

public:

SegmentTree(const vector<int> nums) : n(size(nums)) {

for (int i = 0; i < n; i++)

t[n + i] = nums[i];

SegmentTree(const int n) : n(n) {

for (int i = n - 1; i > 0; i--) t[i] = t[i * 2] + t[i * 2 + 1]; }

@@ -32,33 +30,24 @@ class Solution { int reversePairs(const vector<int> &nums) const { const int n = size(nums);

// sort the array using index array

static int idxs[50001]; iota(idxs, idxs + n, 0); sort(idxs, idxs + n, [&](int a, int b) { return nums[a] < nums[b]; });

vector<int> count; // count the number of each different value

map<long long, int> um; // map each number to its position in sorted unique array

int diff = 0, prev = nums[idxs[0]], cnt = 1;

for (int i = 1; i < n; i++, cnt++) {

const int crnt = nums[idxs[i]];

if (crnt == prev) continue;

um[prev] = size(count);

count.push_back(cnt);

prev = crnt;

cnt = 0;

static int rev[50001];

for (int i = 0; i < n; i++) {

rev[idxs[i]] = i;

}

um[prev] = size(count);

count.push_back(cnt);

int res = 0;

SegmentTree seg(count); // tree is indexed by position in sorted array

SegmentTree seg(n);

for (int i = n - 1; i >= 0; i--) {

// remove current element, and check for left pair in the rest

seg.update(um[nums[i]]);

const auto it = um.upper_bound(nums[i] * 2ll);

if (it == end(um)) continue;

res += seg.sum(it->second, size(count));

seg.update(rev[i]);

const auto cmp = [&](long long value, int &idx) { return value < nums[idx]; };

const auto it = upper_bound(idxs, idxs + n, nums[i] * 2ll, cmp);

if (it == idxs + n) continue;

res += seg.sum(it - idxs, n);

} return res;

diff --git a/ Problems/0699.cpp b/ Problems/0699.cpp

@@ -0,0 +1,59 @@

class SegmentTree {

const int n;

vector<int> t = vector<int>(2 * n);

public:

SegmentTree(int n) : n(n) {}

int sum(int l, int r) const {

int res = 0;

for (l += n, r += n; l < r; l /= 2, r /= 2) {

if (l & 1) res = max(res, t[l++]);

if (r & 1) res = max(res, t[--r]);

}

return res;

}

void update(int p, int val) {

for (t[p += n] = val; p > 1; p /= 2)

t[p / 2] = max(t[p], t[p ^ 1]);

}

};

class Solution {

public:

vector<int> fallingSquares(const vector<vector<int>> &positions) const {

vector<int> possible;

for (const auto &pos : positions) {

possible.push_back(pos[0]);

possible.push_back(pos[0] + pos[1]);

}

const int m = size(possible);

static int idxs[2001];

iota(idxs, idxs + m, 0);

sort(idxs, idxs + m, [&](int a, int b) { return possible[a] < possible[b]; });

static int rev[2001];

for (int i = m - 2, cnt = rev[idxs[m - 1]] = m - 1; i >= 0; i--) {

if (possible[idxs[i]] != possible[idxs[i + 1]]) cnt--;

rev[idxs[i]] = cnt;

}

int maxi = 0;

vector<int> res;

SegmentTree seg(m);

for (int i = 0; i < size(positions); i++) {

const int a = rev[i * 2], b = rev[i * 2 + 1];

const int crnt = positions[i][1] + seg.sum(a, b);

res.push_back(maxi = max(maxi, crnt));

for (int i = a; i < b; i++) {

seg.update(i, crnt);

}

}

return res;

}

};

diff --git a/ Problems/2501.cpp b/ Problems/2501.cpp

@@ -0,0 +1,20 @@

class Solution {

public:

int longestSquareStreak(vector<int> &nums) {

static int seen[100001];

memset(seen, 0x00, sizeof(seen));

sort(begin(nums), end(nums));

int res = 0;

for (int i = 0; i < size(nums); i++) {

const int crnt = nums[i];

if (crnt < 317) {

seen[crnt * crnt] = seen[crnt] + 1;

}

res = max(res, seen[crnt]);

}

return res ? res + 1 : -1;

}

};

diff --git a/ README.md b/ README.md

@@ -297,6 +297,7 @@ reference and a base for solving problems. | 0319 | Medium | [Bulb Switcher](Problems/0319.cpp) | | 0322 | Medium | [Coin Change](Problems/0322.cpp) | | 0326 | Easy | [Power of Three](Problems/0326.cpp) |

| 0327 | Hard | [Count of Range Sum](Problems/0327.cpp) |

| 0328 | Medium | [Odd Even Linked List](Problems/0328.cpp) | | 0330 | Hard | [Patching Array](Problems/0330.cpp) | | 0332 | Hard | [Reconstruct Itinerary](Problems/0332.cpp) |

@@ -499,6 +500,7 @@ reference and a base for solving problems. | 0690 | Medium | [Employee Importance](Problems/0690.cpp) | | 0692 | Medium | [Top K Frequent Words](Problems/0692.cpp) | | 0695 | Medium | [Max Area of Island](Problems/0695.cpp) |

| 0699 | Hard | [Falling Squares](Problems/0699.cpp) |

| 0700 | Easy | [Search in a Binary Search Tree](Problems/0700.cpp) | | 0701 | Medium | [Insert into a Binary Search Tree](Problems/0701.cpp) | | 0703 | Easy | [Kth Largest Element in a Stream](Problems/0703.cpp) |

@@ -1280,6 +1282,7 @@ reference and a base for solving problems. | 2492 | Medium | [Minimum Score of a Path Between Two Cities](Problems/2492.cpp) | | 2497 | Medium | [Maximum Star Sum of a Graph](Problems/2497.cpp) | | 2498 | Medium | [Frog Jump II](Problems/2498.cpp) |

| 2501 | Medium | [Longest Square Streak in an Array](Problems/2501.cpp) |

| 2517 | Medium | [Maximum Tastiness of Candy Basket](Problems/2517.cpp) | | 2526 | Medium | [Find Consecutive Integers from a Data Stream](Problems/2526.cpp) | | 2527 | Medium | [Find Xor-Beauty of Array](Problems/2527.cpp) |