結果

問題 No.2065 Sum of Min
ユーザー leaf_1415leaf_1415
提出日時 2022-09-02 21:38:12
言語 C++11
(gcc 13.3.0)
結果
AC  
実行時間 865 ms / 2,000 ms
コード長 13,431 bytes
コンパイル時間 2,794 ms
コンパイル使用メモリ 121,748 KB
実行使用メモリ 29,384 KB
最終ジャッジ日時 2024-11-16 02:40:40
合計ジャッジ時間 17,659 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 20
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <ctime>
#include <cstdlib>
#include <cassert>
#include <vector>
#include <list>
#include <stack>
#include <queue>
#include <deque>
#include <map>
#include <set>
#include <bitset>
#include <string>
#include <algorithm>
#include <utility>
#include <complex>
#include <array>
#include <unordered_set>
#include <unordered_map>
#define rep(x, s, t) for(ll x = (s); (x) <= (t); (x)++)
#define per(x, s, t) for(ll x = (s); (x) >= (t); (x)--)
#define reps(x, s) for(ll x = 0; (x) < (ll)(s).size(); (x)++)
#define chmin(x, y) (x) = min((x), (y))
#define chmax(x, y) (x) = max((x), (y))
#define sz(x) ((ll)(x).size())
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define outl(...) dump_func(__VA_ARGS__)
#define outf(x) cout << fixed << setprecision(16) << (x) << endl
#define pb push_back
#define fi first
#define se second
#define inf 2e18
#define eps 1e-9
const double PI = 3.1415926535897932384626433;

using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef pair<ll, ll> P;

struct edge{
	ll to, cost;
	edge(){}
	edge(ll a, ll b){ to = a, cost = b;}
};
const int dx[] = {1, 0, -1, 0}, dy[] = {0, -1, 0, 1};

const int mod = 1000000007;
//const int mod = 998244353;

struct mint{
	int x;
	mint(ll y = 0){if(y < 0 || y >= mod) y = (y%mod+mod)%mod; x = y;}
	mint(const mint &ope) {x = ope.x;}
	mint operator-(){return mint(-x);}
	mint operator+(const mint &ope){return mint(x) += ope;}
	mint operator-(const mint &ope){return mint(x) -= ope;}
	mint operator*(const mint &ope){return mint(x) *= ope;}
	mint operator/(const mint &ope){return mint(x) /= ope;}
	mint& operator+=(const mint &ope){x += ope.x; if(x >= mod) x -= mod; return *this;}
	mint& operator-=(const mint &ope){x += mod - ope.x; if(x >= mod) x -= mod; return *this;}
	mint& operator*=(const mint &ope){ll tmp = x; tmp *= ope.x, tmp %= mod; x = tmp; return *this;}
	mint& operator/=(const mint &ope){
		ll n = mod-2; mint mul = ope;
		while(n){if(n & 1) *this *= mul; mul *= mul; n >>= 1;}
		return *this;
	}
	mint inverse(){return mint(1) / *this;}
	bool operator ==(const mint &ope){return x == ope.x;}
	bool operator !=(const mint &ope){return x != ope.x;}
	bool operator <(const mint &ope)const{return x < ope.x;}
};
mint modpow(mint a, ll n){
	if(n == 0) return mint(1);
	if(n % 2) return a * modpow(a, n-1);
	else return modpow(a*a, n/2);
}
istream& operator >>(istream &is, mint &ope){ll t; is >> t, ope.x = t; return is;}
ostream& operator <<(ostream &os, mint &ope){return os << ope.x;}
ostream& operator <<(ostream &os, const mint &ope){return os << ope.x;}

ll modpow(ll a, ll n, ll mod){
	if(n == 0) return 1;
	if(n % 2) return ((a%mod) * (modpow(a, n-1, mod)%mod)) % mod;
	else return modpow((a*a)%mod, n/2, mod) % mod;
}

vector<mint> fact, fact_inv;
void make_fact(int n){
	fact.resize(n+1), fact_inv.resize(n+1);
	fact[0] = mint(1); rep(i, 1, n) fact[i] = fact[i-1] * mint(i);
	fact_inv[n] = fact[n].inverse(); per(i, n-1, 0) fact_inv[i] = fact_inv[i+1] * mint(i+1);
}
mint comb(int n, int k){ if(n < 0 || k < 0 || n < k) return mint(0); return fact[n] * fact_inv[k] * fact_inv[n-k];}
mint perm(int n, int k){ return comb(n, k) * fact[k]; }
template<typename T> T comb2(ll n, ll k){ T ret = 1; rep(i, 1, k) ret *= n-k+i, ret /= i; return ret;}

vector<int> prime, pvec, qrime;
void make_prime(int n){
	prime.resize(n+1);
	rep(i, 2, n){
		if(prime[i] == 0) pvec.push_back(i), prime[i] = i;
		for(auto p : pvec){ if(i*p > n || p > prime[i]) break; prime[i*p] = p;}
	}
}
void make_qrime(int n){
	qrime.resize(n+1);
	rep(i, 2, n){int ni = i / prime[i]; if(prime[i] == prime[ni]) qrime[i] = qrime[ni] * prime[i]; else qrime[i] = prime[i];}
}

bool exceed(ll x, ll y, ll m){return y > 0 && x >= m / y + 1;}
void mark(){ cout << "*" << endl; }
void yes(){ cout << "YES" << endl; }
void no(){ cout << "NO" << endl; }
ll floor(ll a, ll b){ if(b < 0) a *= -1, b *= -1; if(a >= 0) return a/b; else return -((-a+b-1)/b); }
ll ceil(ll a, ll b){ if(b < 0) a *= -1, b *= -1; if(a >= 0) return (a+b-1)/b; else return -((-a)/b); }
ll modulo(ll a, ll b){ b = abs(b); return a - floor(a, b) * b;}
ll sgn(ll x){ if(x > 0) return 1; if(x < 0) return -1; return 0;}
ll gcd(ll a, ll b){if(b == 0) return a; return gcd(b, a%b);}
ll lcm(ll a, ll b){return a/gcd(a, b)*b;}
ll arith(ll x){return x*(x+1)/2;}
ll arith(ll l, ll r){return arith(r) - arith(l-1);}
ll digitnum(ll x, ll b = 10){ll ret = 0; for(; x; x /= b) ret++; return ret;}
ll digitsum(ll x, ll b = 10){ll ret = 0; for(; x; x /= b) ret += x % b; return ret;}
string lltos(ll x, ll b = 10){string ret; for(;x;x/=b) ret += x % b + '0'; reverse(all(ret)); return ret;}
ll stoll(string &s, ll b = 10){ll ret = 0; for(auto c : s) ret *= b, ret += c - '0'; return ret;}
template<typename T> void uniq(T &vec){sort(all(vec)); vec.erase(unique(all(vec)), vec.end());}
int popcount(ull x){
	x -= ((x>>1)&0x5555555555555555ULL), x = (x & 0x3333333333333333ULL) + ((x>>2) & 0x3333333333333333ULL);
	return (((x + (x>>4)) & 0x0F0F0F0F0F0F0F0FULL) * 0x0101010101010101ULL) >> 56;
}

template<class S, class T> pair<S, T>& operator+=(pair<S, T> &s, const pair<S, T> &t){s.first += t.first, s.second += t.second; return s;}
template<class S, class T> pair<S, T>& operator-=(pair<S, T> &s, const pair<S, T> &t){s.first -= t.first, s.second -= t.second; return s;}
template<class S, class T> pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t){return pair<S,T>(s.first+t.first, s.second+t.second);}
template<class S, class T> pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t){return pair<S,T>(s.first-t.first, s.second-t.second);}
template<class T> T dot(const pair<T, T> &s, const pair<T, T> &t){return s.first*t.first + s.second*t.second;}
template<class T> T cross(const pair<T, T> &s, const pair<T, T> &t){return s.first*t.second - s.second*t.first;}
template<class T> T mdist(pair<T, T> s, pair<T, T> t){return abs(s.first-t.first) + abs(s.second-t.second);}
template<class T> T edist2(pair<T, T> s, pair<T, T> t){return (s.first-t.first)*(s.first-t.first) + (s.second-t.second)*(s.second-t.second);}

template<typename T> ostream& operator << (ostream& os, vector<T>& vec){reps(i, vec) os << vec[i] << " "; return os;}
template<typename T> ostream& operator << (ostream& os, const vector<T>& vec){reps(i, vec) os << vec[i] << " "; return os;}
template<typename T> ostream& operator << (ostream& os, list<T>& ls){for(auto x : ls) os << x << " "; return os;}
template<typename T> ostream& operator << (ostream& os, const list<T>& ls){for(auto x : ls) os << x << " "; return os;}
template<typename T> ostream& operator << (ostream& os, deque<T>& deq){reps(i,  deq) os << deq[i] << " "; return os;}
template<typename T, typename U> ostream& operator << (ostream& os, pair<T, U>& ope){ os << "(" << ope.first << ", " << ope.second << ")"; return os;}
template<typename T, typename U> ostream& operator << (ostream& os, const pair<T, U>& ope){ os << "(" << ope.first << ", " << ope.second << ")"; return os;}
template<typename T, typename U> ostream& operator << (ostream& os, map<T, U>& ope){ for(auto p : ope) os << "(" << p.first << ", " << p.second << "),";return os;}
template<typename T> ostream& operator << (ostream& os, set<T>& ope){for(auto x : ope) os << x << " "; return os;}
template<typename T> ostream& operator << (ostream& os, multiset<T>& ope){for(auto x : ope) os << x << " "; return os;}
template<typename T> void outa(T a[], ll s, ll t){rep(i, s, t){ cout << a[i]; if(i < t) cout << " ";} cout << endl;}
template<typename T, size_t N> ostream& operator << (ostream& os, array<T, N>& arr){reps(i, arr) os << arr[i] << " "; return os;}
template<typename T, size_t N> ostream& operator << (ostream& os, const array<T, N>& arr){reps(i, arr) os << arr[i] << " "; return os;}
void dump_func(){cout << endl;}
template <class Head, class... Tail>
void dump_func(Head &&head, Tail &&... tail){cout << head; if(sizeof...(Tail) > 0) cout << " "; dump_func(std::move(tail)...);}



struct SegTreeBeats{
	typedef pair<P, ll> OPE;

	int size;
	vector<ll> sum;
	vector<ll> Max1, Max2, Mnum;
	vector<ll> min1, min2, mnum;
	vector<OPE> delay;

	SegTreeBeats(){}
	SegTreeBeats(int size){
		this->size = size;
		sum.resize(1<<(size+1)), delay.resize(1<<(size+1));
		Max1.resize(1<<(size+1)), Max2.resize(1<<(size+1)), Mnum.resize(1<<(size+1));
		min1.resize(1<<(size+1)), min2.resize(1<<(size+1)), mnum.resize(1<<(size+1));
	}

	void init(){
		for(int i = 0; i < (1<<(size+1)); i++){
			sum[i] = 0, delay[i] = OPE(P(-inf, inf), 0);
			Max1[i] = 0, Max2[i] = -inf, Mnum[i] = 1;
			min1[i] = 0, min2[i] = inf, mnum[i] = 1;
		}
	}

	void calc(int k){
		int l = k*2, r = k*2+1;
		if(Max1[l] > Max1[r]){
			Max1[k] = Max1[l], Max2[k] = max(Max2[l], Max1[r]);
			Mnum[k] = Mnum[l];
		}
		else if(Max1[l] < Max1[r]){
			Max1[k] = Max1[r], Max2[k] = max(Max1[l], Max2[r]);
			Mnum[k] = Mnum[r];
		}
		else{
			Max1[k] = Max1[l], Max2[k] = max(Max2[l], Max2[r]);
			Mnum[k] = Mnum[l] + Mnum[r];
		}

		if(min1[l] < min1[r]){
			min1[k] = min1[l], min2[k] = min(min2[l], min1[r]);
			mnum[k] = mnum[l];
		}
		else if(min1[l] > min1[r]){
			min1[k] = min1[r], min2[k] = min(min1[l], min2[r]);
			mnum[k] = mnum[r];
		}
		else{
			min1[k] = min1[l], min2[k] = min(min2[l], min2[r]);
			mnum[k] = mnum[l] + mnum[r];
		}
		sum[k] = sum[l] + sum[r];
	}

	OPE merge(OPE p, OPE q)
	{
		ll a = p.second, b = q.second;
		ll l = p.first.first, u = p.first.second, L = q.first.first-a, U = q.first.second-a;
		chmax(l, L), chmax(u, L);
		chmin(l, U), chmin(u, U);
		return OPE(P(l, u), a+b);
	}

	void eval(int l, int r, int k){

		if(delay[k] != OPE(P(-inf, inf), 0)){

			ll lb = delay[k].first.first, ub = delay[k].first.second, add = delay[k].second;
			sum[k] -= max(0LL, Max1[k] - ub) * Mnum[k];
			sum[k] += max(0LL, lb - min1[k]) * mnum[k];
			sum[k] += add * (r-l+1);
			chmin(Max1[k], ub), chmin(min1[k], ub), chmin(min2[k], ub);
			chmax(min1[k], lb), chmax(Max1[k], lb), chmax(Max2[k], lb);
			Max1[k] += add, Max2[k] += add;
			min1[k] += add, min2[k] += add;

			if(Max1[k] == min1[k]){
				Max2[k] = -inf, min2[k] = inf;
				Mnum[k] = mnum[k] = r-l+1;
			}

			if(l < r){
				delay[k*2] = merge(delay[k*2], delay[k]);
				delay[k*2+1] = merge(delay[k*2+1], delay[k]);
			}
			delay[k] = OPE(P(-inf, inf), 0);
		}
	}

	void update(int i, ll val){
		int l = 0, r = (1<<size)-1, k = 1;

		eval(l, r, k);
		for(int j = size-1; j >= 0; j--){
			k <<= 1;
			if(i & (1<<j)){
				k++;
				l = (l+r)/2+1;
			}
			else r = (l+r)/2;
			eval(l, r, k);
		}

		int p = i + (1<<size);
		sum[p] = val;
		Max1[p] = val, Max2[p] = -inf, Mnum[p] = 1;
		min1[p] = val, min2[p] = inf, mnum[p] = 1;

		l = i, r = i, k = i+(1<<size);
		for(int j = 0; j < size; j++){
			k /= 2, l &= ~(1<<j), r |= 1<<j;
			eval(l, (l+r)/2, k*2), eval((l+r)/2+1, r, k*2+1);
			calc(k);
		}
	}

	void chooseMin(int a, int b, int k, int l, int r, ll x){
		eval(l, r, k);

		if(b < l || r < a || x > Max1[k]) return;
		if(a <= l && r <= b && Max2[k] < x && x <= Max1[k]){
			delay[k] = merge(delay[k], OPE(P(-inf, x), 0));
			eval(l, r, k);
			return;
		}
		chooseMin(a, b, k*2, l, (l+r)/2, x);
		chooseMin(a, b, k*2+1, (l+r)/2+1, r, x);
		calc(k);
	}
	void chooseMin(int a, int b, ll x){
		if(a > b) return;
		chooseMin(a, b, 1, 0, (1<<size)-1, x);
	}

	void chooseMax(int a, int b, int k, int l, int r, ll x){
		eval(l, r, k);

		if(b < l || r < a || x < min1[k]) return;
		if(a <= l && r <= b && min2[k] > x && x >= min1[k]){
			delay[k] = merge(delay[k], OPE(P(x, inf), 0));
			eval(l, r, k);
			return;
		}
		chooseMax(a, b, k*2, l, (l+r)/2, x);
		chooseMax(a, b, k*2+1, (l+r)/2+1, r, x);
		calc(k);
	}
	void chooseMax(int a, int b, ll x){
		if(a > b) return;
		chooseMax(a, b, 1, 0, (1<<size)-1, x);
	}

	void add(int a, int b, int k, int l, int r, ll x){
		eval(l, r, k);

		if(b < l || r < a) return;
		if(a <= l && r <= b){
			delay[k] = merge(delay[k], OPE(P(-inf, inf), x));
			eval(l, r, k);
			return;
		}
		add(a, b, k*2, l, (l+r)/2, x);
		add(a, b, k*2+1, (l+r)/2+1, r, x);
		calc(k);
	}
	void add(int a, int b, ll x){
		if(a > b) return;
		add(a, b, 1, 0, (1<<size)-1, x);
	}

	ll querySum(int a, int b, int k, int l, int r){
		eval(l, r, k);

		if(b < l || r < a) return 0;
		if(a <= l && r <= b) return sum[k];
		ll lval = querySum(a, b, k*2, l, (l+r)/2);
		ll rval = querySum(a, b, k*2+1, (l+r)/2+1, r);
		return lval + rval;
	}
	ll querySum(int a, int b){
		if(a > b) return 0;
		return querySum(a, b, 1, 0, (1<<size)-1);
	}

	ll queryMax(int a, int b, int k, int l, int r){
		eval(l, r, k);

		if(b < l || r < a) return -inf;
		if(a <= l && r <= b) return Max1[k];
		ll lval = queryMax(a, b, k*2, l, (l+r)/2);
		ll rval = queryMax(a, b, k*2+1, (l+r)/2+1, r);
		return max(lval, rval);
	}
	ll queryMax(int a, int b){
		if(a > b) return -inf;
		return queryMax(a, b, 1, 0, (1<<size)-1);
	}
};

ll n, Q;
ll a[100005];
ll l[100005], r[100005], x[100005];
ll ans[100005];
vector<P> vec;

int main(void)
{
	ios::sync_with_stdio(0);
	cin.tie(0);

	cin >> n >> Q;
	rep(i, 1, n) cin >> a[i];
	rep(i, 1, Q) cin >> l[i] >> r[i] >> x[i];
	rep(i, 1, Q) vec.pb(P(x[i], i));
	sort(rall(vec));

	SegTreeBeats seg(17);
	rep(i, 1, n) seg.update(i, a[i]);

	for(auto p : vec){
		ll id = p.se;
		seg.chooseMin(1, n, p.fi);
		ans[id] = seg.querySum(l[id], r[id]);
	}
	rep(i, 1, Q) cout << ans[i] << "\n";

	return 0;
}
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