[Kick Start 2022 Round F] Scheduling a Meeting

Scheduling a Meeting

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#include <bits/stdc++.h>

#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")//Comment optimisations for interactive problems (use endl)
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")

using namespace std;

struct PairHash {inline std::size_t operator()(const std::pair<int, int> &v) const { return v.first * 31 + v.second; }};

// speed
#define Code ios_base::sync_with_stdio(false);
#define By ios::sync_with_stdio(0);
#define Sumfi cout.tie(NULL);

// alias
using ll = long long;
using ld = long double;
using ull = unsigned long long;

// constants
const ld PI = 3.14159265358979323846; /* pi */
const ll INF = 1e18;
const ld EPS = 1e-9;
const ll MAX_N = 101010;
const ll mod = 998244353;

// typedef
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;
typedef array<ll,3> all3;
typedef array<ll,5> all5;
typedef vector<all3> vall3;
typedef vector<all5> vall5;
typedef vector<ld> vld;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<int> vi;
typedef pair<string, string> pss;
typedef vector<pss> vpss;
typedef vector<string> vs;
typedef vector<vs> vvs;
typedef unordered_set<ll> usll;
typedef unordered_set<pll, PairHash> uspll;
typedef unordered_map<ll, ll> umll;
typedef unordered_map<pll, ll, PairHash> umpll;

// macros
#define rep(i,m,n) for(ll i=m;i<n;i++)
#define rrep(i,m,n) for(ll i=n;i>=m;i--)
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
#define INF(a) memset(a,0x3f3f3f3f3f3f3f3fLL,sizeof(a))
#define ASCEND(a) iota(all(a),0)
#define sz(x) ll((x).size())
#define pyes cout<<"YES\n";
#define pno cout<<"NO\n";
#define pneg1 cout<<"-1\n";
#define ppossible cout<<"Possible\n";
#define pimpossible cout<<"Impossible\n";
#define TC(x) cout<<"Case #"<<x<<": ";
#define X first
#define Y second

// utility functions
template <typename T>
void print(T &&t) { cout << t << "\n"; }
template<typename T>
void printv(vector<T>v){ll n=v.size();rep(i,0,n)cout<<v[i]<<" ";cout<<"\n";}
void fileIO() {freopen("input.txt","r",stdin); freopen("output.txt","w",stdout);}
void hackerCupIO() {freopen("/Users/summerflower/Downloads/watering_well_chapter_2_input.txt", "r", stdin); freopen("/Users/summerflower/Downloads/solution.txt","w",stdout);}
void readf() {freopen("", "rt", stdin);}
template<typename T>
void readv(vector<T>& v){rep(i,0,sz(v)) cin>>v[i];}
template<typename T, typename U>
void readp(pair<T,U>& A) {cin>>A.first>>A.second;}
template<typename T, typename U>
void readvp(vector<pair<T,U>>& A) {rep(i,0,sz(A)) readp(A[i]); }
void readvall3(vall3& A) {rep(i,0,sz(A)) cin>>A[i][0]>>A[i][1]>>A[i][2];}
void readvvll(vvll& A) {rep(i,0,sz(A)) readv(A[i]);}

struct Combination {
vll fac, inv;
ll n, MOD;

ll modpow(ll n, ll x, ll MOD = mod) { if(!x) return 1; ll res = modpow(n,x>>1,MOD); res = (res * res) % MOD; if(x&1) res = (res * n) % MOD; return res; }

Combination(ll _n, ll MOD = mod): n(_n + 1), MOD(MOD) {
inv = fac = vll(n,1);
rep(i,1,n) fac[i] = fac[i-1] * i % MOD;
inv[n - 1] = modpow(fac[n - 1], MOD - 2, MOD);
rrep(i,1,n - 2) inv[i] = inv[i + 1] * (i + 1) % MOD;
}

ll fact(ll n) {return fac[n];}
ll nCr(ll n, ll r) {
if(n < r or n < 0 or r < 0) return 0;
return fac[n] * inv[r] % MOD * inv[n-r] % MOD;
}
};

// geometry data structures
template <typename T>
struct Point {
T y,x;
Point(T y, T x) : y(y), x(x) {}
Point() {}
void input() {cin>>y>>x;}
};

template<typename T>
struct Circle {
Point<T> center;
T radius;
Circle(T y, T x, T radius) : center(Point<T>(y,x)), radius(radius) {}
Circle() {}

void input() {
center = Point<T>();
center.input();
cin>>radius;
}

bool circumference(Point<T> p) {
return (center.x - p.x) * (center.x - p.x) + (center.y - p.y) * (center.y - p.y) == radius * radius;
}

bool intersect(Circle<T> c) {
T d = (center.x - c.center.x) * (center.x - c.center.x) + (center.y - c.center.y) * (center.y - c.center.y);
return (radius - c.radius) * (radius - c.radius) <= d and d <= (radius + c.radius) * (radius + c.radius);
}
};

ll __gcd(ll x, ll y) { return !y ? x : __gcd(y, x % y); }
ll __lcm(ll x, ll y) { return x / __gcd(x,y) * y; }
ll modpow(ll n, ll x, ll MOD = mod) { n%=MOD; if(!x) return 1; ll res = modpow(n,x>>1,MOD); res = (res * res) % MOD; if(x&1) res = (res * n) % MOD; return res; }

void update(vll& fenwick, ll n, ll v) {
while(n < sz(fenwick)) {
fenwick[n] += v;
n += n & -n;
}
}

ll query(vll& fenwick, ll n) {
ll res = 0;
while(n) {
res += fenwick[n];
n -= n & -n;
}
return res;
}

ll helper(vll& fenwick, ll k) {
ll l = 0, r = MAX_N - 1, res = MAX_N - 1;
while(l <= r) {
ll m = l + (r - l) / 2;
ll cnt = query(fenwick, m);
if(cnt >= k) {
res = min(res,m);
r = m - 1;
} else l = m + 1;
}
return res;
}

ll solve(ll n, ll k, ll x, ll d, vall3 A) {
ll res = INF, empty = n;
vll fenwick1(MAX_N), fenwick2(MAX_N);
umll mp;

sort(all(A), [](auto a, auto b) {
return a[1] < b[1];
});
priority_queue<pll, vpll, greater<pll>> q;
ll p = 0;
rep(i,0,d + 1) {
while(sz(q) and q.top().first <= i - x) {
auto [_,id] = q.top(); q.pop();
update(fenwick1, mp[id], -1);
update(fenwick2, mp[id], -mp[id]);
if(--mp[id] == 0) empty++;
if(mp[id]) {
update(fenwick1, mp[id], 1);
update(fenwick2, mp[id], mp[id]);
}
}

if(i >= x) {
if(empty >= k) return 0;
ll req = k - empty;
ll bound = helper(fenwick1, req);
ll under = query(fenwick1, bound - 1);
ll cancel = query(fenwick2, bound - 1);
ll append = (req - under) * bound;
res = min(res, cancel + append);
}

while(p < sz(A) and A[p][1] <= i) {
auto [id, l, r] = A[p++];
q.push({r,id});
if(mp[id]) {
update(fenwick1, mp[id], -1);
update(fenwick2, mp[id], -mp[id]);
}
if(++mp[id] == 1) empty--;
update(fenwick1, mp[id], 1);
update(fenwick2, mp[id], mp[id]);
}
}

return res;
}

int main() {
Code By Sumfi
cout.precision(12);
ll tc = 1;
cin>>tc;
rep(i,1,tc+1) {
ll n,k,x,d,m;
cin>>n>>k>>x>>d>>m;
vall3 A(m);
readvall3(A);
TC(i)
print(solve(n,k,x,d,A));
}
return 0;
}
Author: Song Hayoung
Link: https://songhayoung.github.io/2022/09/19/PS/Google/scheduling-a-meeting/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.