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Original file line number Diff line number Diff line change
Expand Up @@ -119,6 +119,51 @@ tags:
#### C++

```cpp
uint32_t dists[15000];
uint16_t nxt[15000];

class Solution {
public:
int maxDistance(int s, vector<vector<int>>& points, int k) {
const uint64_t n = points.size(), perim = 4UL * s;

for (uint i = 0; i < n; i++) {
uint64_t x = points[i][0], y = points[i][1];
dists[i] = (x == 0 || y == s) ? perim - x - y : x + y;
}

sort(dists, dists + n);

const auto check = [&](uint64_t x) -> bool {
for (uint i = 0, r = 0; i < n; i++) {
r = max(r, i + 1);
while (r < n && dists[r] < dists[i] + x) r++;
nxt[i] = r;
}
uint64_t maxreach = dists[n - 1] + perim - (k - 1) * x;
auto limit = perim - x;

for (uint i = 0; i < n && dists[i] <= maxreach; i++) {
uint j = i;
for (uint r = k - 1; r > 0 && j != n; r--) {
j = nxt[j];
}
if (j != n && dists[j] - dists[i] <= limit) return true;
}
return false;
};

uint64_t lo = 1, hi = perim / k;
while (lo < hi) {
auto x = (lo + hi + 1) / 2;
if (check(x))
lo = x;
else
hi = x - 1;
}
return hi;
}
};

```

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10 changes: 10 additions & 0 deletions solution/3500-3599/3513.Number of Unique XOR Triplets I/README.md
Original file line number Diff line number Diff line change
Expand Up @@ -107,6 +107,16 @@ tags:
#### C++

```cpp
class Solution {
public:
int uniqueXorTriplets(vector<int>& nums) {
int n = nums.size();
if (n == 1) return 1;
if (n == 2) return 2;
int m = 31 - __builtin_clz(n); // highest set bit position of n
return 1 << (m + 1);
}
};

```

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Original file line number Diff line number Diff line change
Expand Up @@ -229,6 +229,45 @@ tags:
#### C++

```cpp
class Solution {
public:
char processStr(string s, long long k) {
long long len = 0;
for (char c : s) {
if (islower(c)) {
len++;
}
else if (c == '*') {
if (len > 0) len--;
}
else if (c == '#') {
len *= 2;
}
else if (c == '%') {}
}
if (k >= len) return '.';
for (int i = s.size() - 1; i >= 0; i--) {
char c = s[i];
if (islower(c)) {
if (k == len - 1) {
return c;
}
len--;
}
else if (c == '*') {
len++;
}
else if (c == '#') {
len /= 2;
k %= len;
}
else if (c == '%') {
k = len - 1 - k;
}
}
return '.';
}
};

```

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Original file line number Diff line number Diff line change
@@ -0,0 +1,79 @@
#include <bits/stdc++.h>
using namespace std;

class Solution {
static constexpr int MOD = 1000000007;

long long modpow(long long a, long long e) {
long long r = 1 % MOD;
a %= MOD;
while (e > 0) {
if (e & 1) r = (r * a) % MOD;
a = (a * a) % MOD;
e >>= 1;
}
return r;
}

public:
int xorAfterQueries(vector<int>& nums, vector<vector<int>>& queries) {
int n = nums.size();
int B = std::sqrt(n) + 1;

vector<vector<vector<pair<int,int>>>> events(B + 1);
for (int k = 1; k <= B; ++k)
events[k].resize(k);

for (auto &qq : queries) {
int l = qq[0], r = qq[1], k = qq[2], v = qq[3];
if (k > B) {
for (int idx = l; idx <= r; idx += k)
nums[idx] = (long long)nums[idx] * v % MOD;
} else {
int res = l % k;
int t1 = (l - res) / k;
int t2 = (r - res) / k;
events[k][res].push_back({t1, v});

if (t2 + 1 <= (n - 1 - res) / k) {
int invv = modpow(v, MOD - 2);
events[k][res].push_back({t2 + 1, invv});
}
}
}

for (int k = 1; k <= B; ++k)
for (int res = 0; res < k; ++res) {
auto &ev = events[k][res];
if (ev.empty())
continue;

sort(ev.begin(), ev.end());
vector<pair<int,int>> comp;

for (auto &p : ev) {
if (!comp.empty() && comp.back().first == p.first)
comp.back().second = (long long)comp.back().second * p.second % MOD;
else
comp.push_back(p);
}

long long cur = 1;
int ptr = 0;
int t = 0;
for (int idx = res; idx < n; idx += k, ++t) {
while (ptr < comp.size() && comp[ptr].first == t) {
cur = (cur * comp[ptr].second) % MOD;
++ptr;
}
nums[idx] = nums[idx] * cur % MOD;
}
}

int xr = 0;
for (int x : nums)
xr ^= x;

return xr;
}
};
Original file line number Diff line number Diff line change
Expand Up @@ -156,6 +156,83 @@ tags:
#### C++

```cpp
class Solution {
public:
using ll = long long;
using t3 = tuple<ll, ll, ll>;
ll enc(ll a, ll b, ll c)
{
return (a << 26) + (b << 15) + (c);
}
t3 dec(ll l)
{
ll c = l & ((1 << 15) - 1);
ll a = l >> 26;
ll b = (l >> 15) & ((1 << 11) - 1);
return {a, b, c};
}
long long minMergeCost(vector<vector<int>>& lists) {
int n = lists.size();
int m = 1 << n;

vector<ll> vals;
for(auto& v: lists)
{
for(auto x: v) vals.push_back(x);
}
sort(vals.begin(), vals.end());
vals.erase(unique(vals.begin(), vals.end()), vals.end());

vector<ll> cnt(m), med(m);
for(int i = 1; i < m; ++i)
{
for(int j = 0; j < n; ++j)
{
if((i >> j) & 1) cnt[i] += lists[j].size();
}
}
for(int mask = 1; mask < m; ++mask)
{
ll need = (cnt[mask] + 1) / 2;
int l = 0, r = vals.size() - 1;

while(l < r)
{
int mid = (l + r) / 2;
ll le = 0;

for(int b = mask; b; b &= b - 1)
{
int id = __builtin_ctz(b);
le += upper_bound(lists[id].begin(), lists[id].end(), vals[mid]) - lists[id].begin();
if(le >= need) break;
}

if(le >= need) r = mid;
else l = mid + 1;
}

med[mask] = vals[l];
}
vector<ll> dp(m, LLONG_MAX);
for(int i = 1; i < m; ++i)
{
if(__builtin_popcount(i) == 1)
{
dp[i] = 0;
continue;
}
for(int j = (i - 1) & i; j > 0; j = (j - 1) & i)
{
int k = (i ^ j) & i;
dp[i] = min(dp[i], dp[j] + dp[k] + abs(med[j] - med[k]));
}
dp[i] += cnt[i];
//cout << i << " " << cnt[i] << " " << dp[i] << endl;
}
return dp[m - 1];
}
};

```

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Original file line number Diff line number Diff line change
@@ -0,0 +1,77 @@
class Solution {
public:
using ll = long long;
using t3 = tuple<ll, ll, ll>;
ll enc(ll a, ll b, ll c)
{
return (a << 26) + (b << 15) + (c);
}
t3 dec(ll l)
{
ll c = l & ((1 << 15) - 1);
ll a = l >> 26;
ll b = (l >> 15) & ((1 << 11) - 1);
return {a, b, c};
}
long long minMergeCost(vector<vector<int>>& lists) {
int n = lists.size();
int m = 1 << n;

vector<ll> vals;
for(auto& v: lists)
{
for(auto x: v) vals.push_back(x);
}
sort(vals.begin(), vals.end());
vals.erase(unique(vals.begin(), vals.end()), vals.end());

vector<ll> cnt(m), med(m);
for(int i = 1; i < m; ++i)
{
for(int j = 0; j < n; ++j)
{
if((i >> j) & 1) cnt[i] += lists[j].size();
}
}
for(int mask = 1; mask < m; ++mask)
{
ll need = (cnt[mask] + 1) / 2;
int l = 0, r = vals.size() - 1;

while(l < r)
{
int mid = (l + r) / 2;
ll le = 0;

for(int b = mask; b; b &= b - 1)
{
int id = __builtin_ctz(b);
le += upper_bound(lists[id].begin(), lists[id].end(), vals[mid]) - lists[id].begin();
if(le >= need) break;
}

if(le >= need) r = mid;
else l = mid + 1;
}

med[mask] = vals[l];
}
vector<ll> dp(m, LLONG_MAX);
for(int i = 1; i < m; ++i)
{
if(__builtin_popcount(i) == 1)
{
dp[i] = 0;
continue;
}
for(int j = (i - 1) & i; j > 0; j = (j - 1) & i)
{
int k = (i ^ j) & i;
dp[i] = min(dp[i], dp[j] + dp[k] + abs(med[j] - med[k]));
}
dp[i] += cnt[i];
//cout << i << " " << cnt[i] << " " << dp[i] << endl;
}
return dp[m - 1];
}
};
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