oj.uz

Submission #533284

# Submission time Handle Problem Language Result Execution time Memory
533284 2022-03-05T08:43:24 Z koioi.org-koosaga Dungeon 3 (JOI21_ho_t5) C++17
100 / 100
 1093 ms 32856 KB 
#include <bits/stdc++.h>
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
using namespace std;
typedef long long lint;
typedef pair<lint, lint> pi;
const int mod = 1e9 + 7;
const int MAXN = 200050;
const int MAXT = 530000;

struct intv{
	int s, e; lint x;
};

struct query{
	int s, e; lint x; int idx;
};

struct bit{
	lint tree[MAXN];
	void add(int x, lint v){
		for(int i = x; i < MAXN; i += i & -i) tree[i] += v;
	}
	lint query(int x){
		lint ret = 0;
		for(int i = x; i; i -= i & -i) ret += tree[i];
		return ret;
	}
	lint query(int s, int e){ return query(e) - query(s - 1); }
	void clear(){
		memset(tree, 0, sizeof(tree));
	}
}bit1, bit2;

struct seg{
	int tree[MAXT], lim;
	void init(int n){
		for(lim = 1; lim <= n; lim <<= 1);
	}
	void upd(int x, int v){
		for(int i = x+lim; i; i >>= 1){
			tree[i] = max(tree[i], v);
		}
	}
	int query(int s, int e){
		s += lim;
		e += lim;
		int ret = 0;
		while(s < e){
			if(s%2 == 1) ret = max(ret, tree[s++]);
			if(e%2 == 0) ret = max(ret, tree[e--]);
			s >>= 1;
			e >>= 1;
		}
		if(s == e) ret = max(ret, tree[s]);
		return ret;
	}
}seg;

vector<lint> a, b;

void dnc1(vector<intv> &v, vector<query> &w, int s1, int e1, int s2, int e2, vector<lint> &ans){
	if(s1 > e1) return;
	if(s2 == e2){
		for(int x = s1; x <= e1; x++){
			if(v[x].s > w[s2].s && v[x].e <= w[s2].e){
				ans[w[s2].idx] += v[x].x * max(0ll, a[v[x].e] - a[v[x].s - 2] - w[s2].x);
			}
		}
		return;
	}
	int j = s1;
	int m = (s2 + e2) / 2;
	while(j <= e1 && a[v[j].e] - a[v[j].s - 2] < w[m].x) j++;
	dnc1(v, w, s1, j - 1, s2, m, ans);
	dnc1(v, w, j, e1, m + 1, e2, ans);
	vector<intv> nv(v.begin() + j, v.begin() + e1 + 1);
	vector<query> nw(w.begin() + s2, w.begin() + m + 1);
	sort(all(nv), [&](const intv &a, const intv &b){
		return a.e < b.e;
	});
	sort(all(nw), [&](const query &a, const query &b){
		return a.e < b.e;
	});
	int p = 0;
	for(auto &x : nw){
		while(p < sz(nv) && nv[p].e <= x.e){
			bit1.add(nv[p].s, nv[p].x * (a[nv[p].e] - a[nv[p].s - 2]));
			bit2.add(nv[p].s, nv[p].x);
			p++;
		}
		ans[x.idx] += bit1.query(x.s + 1, MAXN - 2) - x.x * bit2.query(x.s + 1, MAXN - 2);
	}
	while(p){
		p--;
		bit1.add(nv[p].s, -nv[p].x * (a[nv[p].e] - a[nv[p].s - 2]));
		bit2.add(nv[p].s, -nv[p].x);
	}
}

void dnc2(vector<intv> &v, vector<query> &w, int s1, int e1, int s2, int e2, vector<lint> &ans){
	if(s1 > e1) return;
	if(s2 == e2){
		for(int x = s1; x <= e1; x++){
			if(v[x].s > w[s2].s && v[x].e > w[s2].e){
				ans[w[s2].idx] += v[x].x * max(a[w[s2].e] - a[v[x].s - 2] - w[s2].x, 0ll);
			}
		}
		return;
	}
	int j = s1;
	int m = (s2 + e2) / 2;
	while(j <= e1 && a[v[j].s - 2] < a[w[m].e] - w[m].x) j++;
	dnc2(v, w, s1, j - 1, s2, m, ans);
	dnc2(v, w, j, e1, m + 1, e2, ans);
	vector<intv> nv(v.begin() + s1, v.begin() + j);
	vector<query> nw(w.begin() + m + 1, w.begin() + e2 + 1);
	sort(all(nv), [&](const intv &a, const intv &b){
		return a.e > b.e;
		});
	sort(all(nw), [&](const query &a, const query &b){
			return a.e > b.e;
			});
	int p = 0;
	for(auto &x : nw){
		while(p < sz(nv) && nv[p].e > x.e){
			bit1.add(nv[p].s, nv[p].x * (- a[nv[p].s - 2]));
			bit2.add(nv[p].s, nv[p].x);
			p++;
		}
		ans[x.idx] += bit1.query(x.s + 1, MAXN - 2) + (a[x.e] - x.x) * bit2.query(x.s + 1, MAXN - 2);
	}
	while(p){
		p--;
		bit1.add(nv[p].s, -nv[p].x * (- a[nv[p].s - 2]));
		bit2.add(nv[p].s, -nv[p].x);
	}
}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	int n, m;
	cin >> n >> m;
	a.resize(n + 1);
	b.resize(n);
	seg.init(n);
	for(int i = 1; i <= n; i++){
		cin >> a[i], a[i] += a[i - 1];
		seg.upd(i, a[i] - a[i-1]);
	}
	for(int i = 0; i < n; i++) cin >> b[i];
	vector<intv> v;
	{
		vector<int> stk;
		vector<int> l(n), r(n);
		for(int i = 0; i < n; i++){
			while(sz(stk) && b[stk.back()] > b[i]){
				stk.pop_back();
			}
			l[i] = (sz(stk) ? stk.back() : -1);
			stk.push_back(i);
		}
		stk.clear();
		for(int i = n-1; i >= 0; i--){
			while(sz(stk) && b[stk.back()] >= b[i]){
				stk.pop_back();
			}
			r[i] = (sz(stk) ? stk.back() : n);
			stk.push_back(i);
		}
		stk.clear();
		for(int i = 0; i < n; i++){
			lint lo = 0;
			if(l[i] >= 0) lo = max(lo, b[l[i]]);
			if(r[i] < n) lo = max(lo, b[r[i]]);
			v.push_back({l[i] + 2, r[i], b[i] - lo});
		}
	}
	vector<lint> ans(m);
	vector<query> qry;
	for(int i = 0; i < m; i++){
		int s, e; lint x;
		cin >> s >> e >> x;
		e--;
		if(seg.query(s, e) > x){
			ans[i] = -1;
			continue;
		}
		qry.push_back({s, e, x, i});
	}
	sort(all(v), [&](const intv &a, const intv &b){
		return a.s < b.s;
	});
	sort(all(qry), [&](const query &a, const query &b){
		return a.s < b.s;
	});
	int pv = 0, pq = 0;
	for(int i = 1; i <= n; i++){
		while(pv < sz(v) && v[pv].s == i){
			bit1.add(v[pv].e, v[pv].x);
			bit2.add(v[pv].e, v[pv].x * a[v[pv].e]);
			pv++;
		}
		while(pq < sz(qry) && qry[pq].s == i){
			auto Q = qry[pq++];
			ans[Q.idx] += (a[Q.e] - a[Q.s - 1]) * bit1.query(Q.e, n);
			ans[Q.idx] += bit2.query(Q.s, Q.e - 1);
			ans[Q.idx] -= a[Q.s - 1] * bit1.query(Q.s, Q.e - 1);
		}
	}
	bit1.clear();
	bit2.clear();
	{
		vector<intv> nv;
		for(auto &i : v){
			if(i.s > 1) nv.push_back(i);
		}
		v = nv;
	}
	sort(all(v), [&](const intv &i, const intv &j){
		return a[i.e] - a[i.s - 2] < a[j.e] - a[j.s - 2];
	});
	sort(all(qry), [&](const query &a, const query &b){
		return a.x < b.x;
	});
	dnc1(v, qry, 0, sz(v) - 1, 0, sz(qry) - 1, ans);
	sort(all(v), [&](const intv &i, const intv &j){
		return i.s < j.s;
	});
	sort(all(qry), [&](const query &i, const query &j){
		return a[i.e] - i.x < a[j.e] - j.x;
	});
	dnc2(v, qry, 0, sz(v) - 1, 0, sz(qry) - 1, ans);
	for(auto &a : ans) cout << a << "\n";
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 3916 KB Output is correct
2 Correct 9 ms 3916 KB Output is correct
3 Correct 5 ms 3916 KB Output is correct
4 Correct 11 ms 3916 KB Output is correct
5 Correct 9 ms 3916 KB Output is correct
6 Correct 4 ms 3916 KB Output is correct
7 Correct 10 ms 3916 KB Output is correct
8 Correct 9 ms 3916 KB Output is correct
9 Correct 5 ms 3912 KB Output is correct
10 Correct 11 ms 3916 KB Output is correct
11 Correct 9 ms 3916 KB Output is correct
12 Correct 6 ms 3916 KB Output is correct
13 Correct 9 ms 3916 KB Output is correct
14 Correct 11 ms 3940 KB Output is correct
15 Correct 10 ms 3916 KB Output is correct
16 Correct 10 ms 3932 KB Output is correct
17 Correct 8 ms 3916 KB Output is correct
18 Correct 9 ms 3916 KB Output is correct
19 Correct 4 ms 3788 KB Output is correct
20 Correct 7 ms 3936 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 210 ms 9544 KB Output is correct
2 Correct 132 ms 10652 KB Output is correct
3 Correct 144 ms 10696 KB Output is correct
4 Correct 49 ms 9992 KB Output is correct
5 Correct 104 ms 10440 KB Output is correct
6 Correct 978 ms 32184 KB Output is correct
7 Correct 637 ms 32196 KB Output is correct
8 Correct 651 ms 32856 KB Output is correct
9 Correct 232 ms 30496 KB Output is correct
10 Correct 781 ms 31780 KB Output is correct
11 Correct 664 ms 31480 KB Output is correct
12 Correct 227 ms 29728 KB Output is correct
13 Correct 495 ms 30932 KB Output is correct
14 Correct 514 ms 31212 KB Output is correct
15 Correct 223 ms 30268 KB Output is correct

Subtask #3
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 885 ms 25780 KB Output is correct
2 Correct 698 ms 31832 KB Output is correct
3 Correct 216 ms 29592 KB Output is correct
4 Correct 680 ms 31972 KB Output is correct
5 Correct 797 ms 31460 KB Output is correct
6 Correct 641 ms 31436 KB Output is correct
7 Correct 540 ms 29672 KB Output is correct
8 Correct 596 ms 29376 KB Output is correct
9 Correct 183 ms 27836 KB Output is correct
10 Correct 360 ms 30452 KB Output is correct
11 Correct 764 ms 29888 KB Output is correct

Subtask #4
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 3916 KB Output is correct
2 Correct 9 ms 3916 KB Output is correct
3 Correct 5 ms 3916 KB Output is correct
4 Correct 11 ms 3916 KB Output is correct
5 Correct 9 ms 3916 KB Output is correct
6 Correct 4 ms 3916 KB Output is correct
7 Correct 10 ms 3916 KB Output is correct
8 Correct 9 ms 3916 KB Output is correct
9 Correct 5 ms 3912 KB Output is correct
10 Correct 11 ms 3916 KB Output is correct
11 Correct 9 ms 3916 KB Output is correct
12 Correct 6 ms 3916 KB Output is correct
13 Correct 9 ms 3916 KB Output is correct
14 Correct 11 ms 3940 KB Output is correct
15 Correct 10 ms 3916 KB Output is correct
16 Correct 10 ms 3932 KB Output is correct
17 Correct 8 ms 3916 KB Output is correct
18 Correct 9 ms 3916 KB Output is correct
19 Correct 4 ms 3788 KB Output is correct
20 Correct 7 ms 3936 KB Output is correct
21 Correct 210 ms 9544 KB Output is correct
22 Correct 132 ms 10652 KB Output is correct
23 Correct 144 ms 10696 KB Output is correct
24 Correct 49 ms 9992 KB Output is correct
25 Correct 104 ms 10440 KB Output is correct
26 Correct 978 ms 32184 KB Output is correct
27 Correct 637 ms 32196 KB Output is correct
28 Correct 651 ms 32856 KB Output is correct
29 Correct 232 ms 30496 KB Output is correct
30 Correct 781 ms 31780 KB Output is correct
31 Correct 664 ms 31480 KB Output is correct
32 Correct 227 ms 29728 KB Output is correct
33 Correct 495 ms 30932 KB Output is correct
34 Correct 514 ms 31212 KB Output is correct
35 Correct 223 ms 30268 KB Output is correct
36 Correct 885 ms 25780 KB Output is correct
37 Correct 698 ms 31832 KB Output is correct
38 Correct 216 ms 29592 KB Output is correct
39 Correct 680 ms 31972 KB Output is correct
40 Correct 797 ms 31460 KB Output is correct
41 Correct 641 ms 31436 KB Output is correct
42 Correct 540 ms 29672 KB Output is correct
43 Correct 596 ms 29376 KB Output is correct
44 Correct 183 ms 27836 KB Output is correct
45 Correct 360 ms 30452 KB Output is correct
46 Correct 764 ms 29888 KB Output is correct
47 Correct 728 ms 30320 KB Output is correct
48 Correct 748 ms 31636 KB Output is correct
49 Correct 220 ms 28924 KB Output is correct
50 Correct 702 ms 31012 KB Output is correct
51 Correct 1093 ms 31120 KB Output is correct
52 Correct 880 ms 31168 KB Output is correct
53 Correct 597 ms 29588 KB Output is correct
54 Correct 615 ms 29680 KB Output is correct
55 Correct 201 ms 27984 KB Output is correct
56 Correct 487 ms 30476 KB Output is correct
57 Correct 1089 ms 29700 KB Output is correct