Submission #681412

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
681412	2023-01-13T03:43:23 Z	GusterGoose27	Potatoes and fertilizers (LMIO19_bulves)	C++11	100 / 100	487 ms	144052 KB

bulves

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;

#define int long long

const int MAXN = 5e5;
const ll inf = 1e18;
int n;
int vals[MAXN];
ll pre[MAXN];
int ben[MAXN];

class stree {
public:
	int lp, rp;
	stree *l = nullptr;
	stree *r = nullptr;
	pii mx;
	int lz = 0;
	stree(int lv, int rv) {
		lp = lv;
		rp = rv;
		if (lp < rp) {
			int m = (lp+rp)/2;
			l = new stree(lp, m);
			r = new stree(m+1, rp);
			mx = max(l->mx, r->mx);
		}
		else {
			mx = pii(ben[lp], lp);
		}
	}
	void add_to(int v) {
		lz += v;
		mx.first += v;
	}
	void push() {
		if (l) {
			l->add_to(lz);
			r->add_to(lz);
		}
		lz = 0;
	}
	void upd(int lv, int rv, int v) {
		if (lp > rv || rp < lv) return;
		if (lp >= lv && rp <= rv) {
			return add_to(v);
		}
		push();
		l->upd(lv, rv, v);
		r->upd(lv, rv, v);
		mx = max(l->mx, r->mx);
	}
	pii get_mx(int lv, int rv) {
		if (lp > rv || rp < lv) return pii(-1, -1);
		if (lp >= lv && rp <= rv) return mx;
		push();
		return max(l->get_mx(lv, rv), r->get_mx(lv, rv));
	}
};

stree *mx_tree;

class stree2 {
public:
	int lp, rp;
	stree2 *l = nullptr;
	stree2 *r = nullptr;
	ll mn;
	ll sub = 0;
	stree2(int lv, int rv) {
		lp = lv;
		rp = rv;
		if (lp < rp) {
			int m = (lp+rp)/2;
			l = new stree2(lp, m);
			r = new stree2(m+1, rp);
			mn = min(l->mn, r->mn);
		}
		else {
			if (pre[lp] <= 0) mn = inf;
			else mn = pre[lp];
		}
	}
	void erase() {
		if (mn) return;
		if (lp == rp) {
			mn = inf;
			mx_tree->upd(0, lp, -2);
			return;
		}
		push();
		l->erase();
		r->erase();
		mn = min(l->mn, r->mn);
	}
	void add_to(int v) {
		mn += v;
		sub += v;
		if (mn == 0) {
			erase();
		}
	}
	void push() {
		if (l) {
			l->add_to(sub);
			r->add_to(sub);
		}
		sub = 0;
	}
	void upd(int lv, int rv, int v) {
		if (lp > rv || rp < lv) return;
		if (lp >= lv && rp <= rv) {
			add_to(v);
			return;
		}
		push();
		l->upd(lv, rv, v);
		r->upd(lv, rv, v);
		mn = min(l->mn, r->mn);
	}
	ll query(int lv, int rv) {
		if (lp > rv || rp < lv) return inf;
		if (lp >= lv && rp <= rv) return mn;
		push();
		return min(l->query(lv, rv), r->query(lv, rv));
	}
};

stree2 *beat_tree;

signed main() {
	ios_base::sync_with_stdio(false); cin.tie(NULL);
	cin >> n;
	ll ans = 0;
	for (int i = 0; i < n; i++) {
		int x, y; cin >> x >> y;
		vals[i] = x-y;
		pre[i] += vals[i];
		if (i < n-1) pre[i+1] = pre[i];
		ans += (pre[i] < 0) ? (-pre[i]) : pre[i];
	}
	for (int i = n-1; i >= 0; i--) {
		if (pre[i] <= 0) ben[i]--;
		else ben[i]++;
		if (i) ben[i-1] = ben[i];
	}
	mx_tree = new stree(0, n-1);
	beat_tree = new stree2(0, n-1);
	pii bst = mx_tree->get_mx(0, n-1);
	ll rem = pre[n-1];
	while (bst.first && rem) {
		ll lim = beat_tree->query(bst.second, n-1);
		lim = min(lim, rem);
		ans -= lim*bst.first;
		beat_tree->upd(bst.second, n-1, -lim);
		bst = mx_tree->get_mx(0, n-1);
		rem -= lim;
	}
	cout << ans << "\n";
}

Subtask #1

24.0 / 24.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	1 ms	1108 KB	Output is correct
3	Correct	1 ms	1108 KB	Output is correct
4	Correct	19 ms	14004 KB	Output is correct
5	Correct	30 ms	27732 KB	Output is correct
6	Correct	82 ms	68776 KB	Output is correct
7	Correct	171 ms	137208 KB	Output is correct
8	Correct	177 ms	137348 KB	Output is correct
9	Correct	152 ms	137248 KB	Output is correct
10	Correct	151 ms	137220 KB	Output is correct
11	Correct	155 ms	137280 KB	Output is correct

Subtask #2

10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	1 ms	1108 KB	Output is correct
3	Correct	1 ms	1108 KB	Output is correct
4	Correct	19 ms	14004 KB	Output is correct
5	Correct	30 ms	27732 KB	Output is correct
6	Correct	82 ms	68776 KB	Output is correct
7	Correct	171 ms	137208 KB	Output is correct
8	Correct	177 ms	137348 KB	Output is correct
9	Correct	152 ms	137248 KB	Output is correct
10	Correct	151 ms	137220 KB	Output is correct
11	Correct	155 ms	137280 KB	Output is correct
12	Correct	45 ms	34508 KB	Output is correct
13	Correct	101 ms	82440 KB	Output is correct
14	Correct	172 ms	137276 KB	Output is correct
15	Correct	162 ms	137276 KB	Output is correct
16	Correct	194 ms	137292 KB	Output is correct
17	Correct	165 ms	137248 KB	Output is correct
18	Correct	2 ms	1108 KB	Output is correct

Subtask #3

20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	1 ms	1108 KB	Output is correct
3	Correct	2 ms	1108 KB	Output is correct
4	Correct	1 ms	212 KB	Output is correct
5	Correct	1 ms	596 KB	Output is correct
6	Correct	2 ms	724 KB	Output is correct
7	Correct	2 ms	1108 KB	Output is correct
8	Correct	1 ms	1108 KB	Output is correct
9	Correct	3 ms	1108 KB	Output is correct
10	Correct	1 ms	1108 KB	Output is correct

Subtask #4

10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	1 ms	1108 KB	Output is correct
3	Correct	1 ms	1108 KB	Output is correct
4	Correct	1 ms	212 KB	Output is correct
5	Correct	1 ms	596 KB	Output is correct
6	Correct	2 ms	724 KB	Output is correct
7	Correct	2 ms	1108 KB	Output is correct
8	Correct	1 ms	1108 KB	Output is correct
9	Correct	3 ms	1108 KB	Output is correct
10	Correct	1 ms	1108 KB	Output is correct
11	Correct	2 ms	1108 KB	Output is correct
12	Correct	1 ms	852 KB	Output is correct
13	Correct	2 ms	1108 KB	Output is correct
14	Correct	2 ms	1108 KB	Output is correct
15	Correct	2 ms	1108 KB	Output is correct
16	Correct	1 ms	1108 KB	Output is correct
17	Correct	2 ms	1108 KB	Output is correct
18	Correct	2 ms	1108 KB	Output is correct

Subtask #5

36.0 / 36.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	1 ms	1108 KB	Output is correct
3	Correct	1 ms	1108 KB	Output is correct
4	Correct	1 ms	212 KB	Output is correct
5	Correct	1 ms	596 KB	Output is correct
6	Correct	2 ms	724 KB	Output is correct
7	Correct	2 ms	1108 KB	Output is correct
8	Correct	1 ms	1108 KB	Output is correct
9	Correct	3 ms	1108 KB	Output is correct
10	Correct	1 ms	1108 KB	Output is correct
11	Correct	19 ms	14004 KB	Output is correct
12	Correct	30 ms	27732 KB	Output is correct
13	Correct	82 ms	68776 KB	Output is correct
14	Correct	171 ms	137208 KB	Output is correct
15	Correct	177 ms	137348 KB	Output is correct
16	Correct	152 ms	137248 KB	Output is correct
17	Correct	151 ms	137220 KB	Output is correct
18	Correct	155 ms	137280 KB	Output is correct
19	Correct	45 ms	34508 KB	Output is correct
20	Correct	101 ms	82440 KB	Output is correct
21	Correct	172 ms	137276 KB	Output is correct
22	Correct	162 ms	137276 KB	Output is correct
23	Correct	194 ms	137292 KB	Output is correct
24	Correct	165 ms	137248 KB	Output is correct
25	Correct	1 ms	852 KB	Output is correct
26	Correct	2 ms	1108 KB	Output is correct
27	Correct	2 ms	1108 KB	Output is correct
28	Correct	2 ms	1108 KB	Output is correct
29	Correct	1 ms	1108 KB	Output is correct
30	Correct	2 ms	1108 KB	Output is correct
31	Correct	2 ms	1108 KB	Output is correct
32	Correct	2 ms	1108 KB	Output is correct
33	Correct	93 ms	34584 KB	Output is correct
34	Correct	217 ms	82512 KB	Output is correct
35	Correct	373 ms	137176 KB	Output is correct
36	Correct	487 ms	137292 KB	Output is correct
37	Correct	263 ms	137424 KB	Output is correct
38	Correct	455 ms	144052 KB	Output is correct
39	Correct	266 ms	140336 KB	Output is correct
40	Correct	283 ms	127144 KB	Output is correct
41	Correct	227 ms	139248 KB	Output is correct
42	Correct	202 ms	139316 KB	Output is correct
43	Correct	171 ms	139340 KB	Output is correct
44	Correct	171 ms	139244 KB	Output is correct
45	Correct	267 ms	143936 KB	Output is correct
46	Correct	271 ms	139668 KB	Output is correct
47	Correct	256 ms	109972 KB	Output is correct