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Submission #585216

# Submission time Handle Problem Language Result Execution time Memory
585216 2022-06-28T12:40:04 Z GioChkhaidze Progression (NOI20_progression) C++14
57 / 100
 745 ms 72240 KB 
// Source: https://usaco.guide/general/io

#include <bits/stdc++.h>

#define lf (h << 1)
#define mf ((l + r) >> 1)
#define rf ((h << 1) | 1)
#define tree int h, int l, int r 
#define left lf, l, mf
#define right rf, mf + 1, r
#define ll long long
#define f first
#define s second

using namespace std;

const int N = 3e5 + 5;

int n, m, q, L, R, id;
ll S, C, vl, a[N], b[N];

struct node {
	int ans;
	int len;
	int fr;
	int ls;
	int pr;
	int sf;
	ll add;
	ll sum;
	ll toggle;
	bool flag;
	node () {
		toggle = 0;
		flag = 0;
		sum = 0;
		ans = 0;
		len = 0;
		add = 0;
		fr = 0;
		ls = 0;
		pr = 0;
		sf = 0;
	}
};

node v[4 * N], bs;

node mrg(node a, node b) {
	node c;
	c.len = a.len + b.len;
	c.fr = a.fr, c.ls = b.ls;
	c.pr = a.pr, c.sf = b.sf;
	c.ans = max(a.ans, b.ans);
	c.sum = a.sum + b.sum;
	if (a.ls == b.fr) {
		if (a.len == c.pr) c.pr += b.pr;
		if (b.len == c.sf) c.sf += a.sf;
		c.ans = max(c.ans, a.sf + b.pr);
	}
	return c;
} 

void shift(tree) {
	if (v[h].flag) {
		//assert(v[h].add == 0);
		ll x = v[h].toggle;
		v[lf].sum = (mf - l + 1) * x, v[rf].sum = (r - mf) * x;
		v[lf].fr = v[lf].ls = v[rf].fr = v[rf].ls = x;
		v[lf].ans = v[lf].pr = v[lf].sf = mf - l + 1;
		v[rf].ans = v[rf].pr = v[rf].sf = r - mf;
		v[lf].toggle = v[rf].toggle = x;
		v[lf].flag = v[rf].flag = true;
		v[lf].add = v[rf].add = false; 
		v[h].toggle = v[h].flag = 0;
		return ;
	}

	if (v[h].add) {
		ll x = v[h].add;
		//assert(v[h].flag == 0);
		//assert(v[h].toggle == 0);
		v[lf].fr += x, v[lf].ls += x;
		v[rf].fr += x, v[rf].ls += x;
		v[lf].sum += (mf - l + 1) * x, v[rf].sum += (r - mf) * x;

		if (v[lf].flag) v[lf].toggle += v[h].add;
			else v[lf].add += v[h].add;
		
		if (v[rf].flag) v[rf].toggle += v[h].add;
			else v[rf].add += v[h].add;

		v[h].add = 0;
		return ;
	}
}

void build(tree) {
	if (l == r) {
		v[h].pr = v[h].sf = v[h].len = v[h].ans = 1;
		v[h].fr = v[h].ls = v[h].sum = b[l];
		return ;
	}
	build(left), build(right);
	v[h] = mrg(v[lf], v[rf]);
}

void up_range(tree) {
	if (R < l || r < L) return ;
	if (L <= l && r <= R) {
		v[h].fr += C, v[h].ls += C;
		v[h].sum += (r - l + 1) * C;
		if (v[h].flag)  v[h].toggle += C;
			else v[h].add += C;
		return;
	}
	shift(h, l, r);
	up_range(left);
	up_range(right);
	v[h] = mrg(v[lf], v[rf]);
}

void up_dot(tree) {
	if (l == r) {
		v[h].pr = v[h].sf = v[h].len = v[h].ans = 1;
		v[h].fr = v[h].ls = v[h].sum = b[l];
		return;
	}
	shift(h, l, r);
	if (id <= mf) {
		up_dot(left);
	}
		else {
		up_dot(right);
	}
	v[h] = mrg(v[lf], v[rf]);
}

void up_to_range(tree) {
	if (r < L || R < l) return ;
	if (L <= l && r <= R) {
		v[h].ans = v[h].pr = v[h].sf = r - l + 1;
		v[h].toggle = v[h].fr = v[h].ls = C;
		v[h].sum = (r - l + 1) * C;
		v[h].flag = true;
		v[h].add = 0;
		return;
	}
	shift(h, l, r);
	up_to_range(left);
	up_to_range(right);
	v[h] = mrg(v[lf], v[rf]);
}

ll get_avl(tree, int id) {
	if (r < 1 || id < l) return 0;
	if (1 <= l && r <= id) return v[h].sum;
	shift(h, l, r);
	return get_avl(left, id) + get_avl(right, id);
}

ll get_vl(tree) {
	if (l == r) return v[h].fr;
	shift(h, l, r);
	if (id <= mf) {
		return get_vl(left);
	}
	return get_vl(right);
}

node get(tree) {
	if (r < L || R < l) return bs;
	if (L <= l && r <= R) return v[h];
	shift(h, l, r);
	return mrg(get(left), get(right));
}

ll Avl(int x) {
	return a[1] + get_avl(1, 1, m, x - 1);
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(NULL);
	cin >> n >> q;
	for (int i = 1; i <= n; ++i) {
		cin >> a[i];
		if (1 < i) {
			b[i - 1] = a[i] - a[i - 1];
		} 
	}

	m = n + 1;
	build(1, 1, m);
	for (int i = 1; i <= q; ++i) {
		int tp;
		cin >> tp >> L >> R;
		if (tp == 1) {
			cin >> S >> C;
			if (L == 1) a[1] += S;
			--R, up_range(1, 1, m), ++R;
			if (1 < L) {
				id = L - 1;
				vl = get_vl(1, 1, m);
				b[id] = vl + S;
				up_dot(1, 1, m);
			}

			if (R < n) {
				id = R;
				vl = get_vl(1 , 1, m);
				b[id] = vl - (S + (R - L) * C); 
				up_dot(1, 1, m);
			}
		}
			else
		if (tp == 2) {
			cin >> S >> C;
			if (L == 1) a[1] = S;
			
			if (R < n) {
				id = R;
				b[id] = Avl(id + 1) - (S + (R - L) * C); 
				up_dot(1, 1, m);
			}

			--R, up_to_range(1, 1, m), ++R;

			if (1 < L) {
				id = L - 1;
				b[id] = S - Avl(id); 
				up_dot(1, 1, m);
			}
		}
			else
		if (tp == 3) {
			--R; cout << get(1 , 1, m).ans + 1 << "\n";
		}
	}
}

/*
 S + (i − L) × C.

 S + i * C - L * C

 (S - L * C) + i * C

b[i] = a[i + 1] - a[i]
*/

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 230 ms 71372 KB Output is correct
2 Correct 124 ms 66372 KB Output is correct
3 Correct 124 ms 66288 KB Output is correct
4 Correct 127 ms 66348 KB Output is correct
5 Correct 124 ms 66408 KB Output is correct
6 Correct 122 ms 66428 KB Output is correct
7 Correct 125 ms 66276 KB Output is correct
8 Correct 29 ms 65976 KB Output is correct
9 Correct 29 ms 65996 KB Output is correct
10 Correct 28 ms 66088 KB Output is correct
11 Correct 236 ms 71476 KB Output is correct
12 Correct 227 ms 71324 KB Output is correct
13 Correct 231 ms 71628 KB Output is correct
14 Correct 281 ms 71584 KB Output is correct
15 Correct 236 ms 71628 KB Output is correct
16 Correct 238 ms 71252 KB Output is correct
17 Correct 232 ms 71260 KB Output is correct
18 Correct 244 ms 71276 KB Output is correct

Subtask #2
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 65976 KB Output is correct
2 Correct 30 ms 65964 KB Output is correct
3 Correct 31 ms 65980 KB Output is correct
4 Correct 29 ms 66060 KB Output is correct
5 Correct 30 ms 66068 KB Output is correct
6 Correct 29 ms 66040 KB Output is correct
7 Correct 28 ms 65980 KB Output is correct
8 Correct 30 ms 66092 KB Output is correct
9 Correct 29 ms 66004 KB Output is correct
10 Correct 30 ms 65992 KB Output is correct
11 Correct 29 ms 66016 KB Output is correct
12 Correct 30 ms 66092 KB Output is correct
13 Correct 29 ms 66084 KB Output is correct
14 Correct 32 ms 66040 KB Output is correct
15 Correct 30 ms 66040 KB Output is correct
16 Correct 31 ms 66024 KB Output is correct
17 Correct 30 ms 65996 KB Output is correct
18 Correct 30 ms 66132 KB Output is correct
19 Correct 36 ms 66088 KB Output is correct
20 Incorrect 34 ms 65996 KB Output isn't correct
21 Halted 0 ms 0 KB -

Subtask #3
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 275 ms 71848 KB Output is correct
2 Correct 116 ms 66556 KB Output is correct
3 Correct 127 ms 66592 KB Output is correct
4 Correct 106 ms 66612 KB Output is correct
5 Correct 122 ms 66760 KB Output is correct
6 Correct 120 ms 66636 KB Output is correct
7 Correct 120 ms 66668 KB Output is correct
8 Correct 28 ms 66004 KB Output is correct
9 Correct 29 ms 65972 KB Output is correct
10 Correct 28 ms 66080 KB Output is correct
11 Correct 298 ms 71616 KB Output is correct
12 Correct 283 ms 71844 KB Output is correct
13 Correct 302 ms 71548 KB Output is correct
14 Correct 300 ms 71456 KB Output is correct
15 Correct 276 ms 71748 KB Output is correct
16 Correct 307 ms 72064 KB Output is correct
17 Correct 335 ms 72132 KB Output is correct
18 Correct 303 ms 72240 KB Output is correct
19 Correct 267 ms 71452 KB Output is correct
20 Correct 277 ms 71420 KB Output is correct
21 Correct 278 ms 71340 KB Output is correct

Subtask #4
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 576 ms 70980 KB Output is correct
2 Incorrect 191 ms 67560 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 275 ms 71848 KB Output is correct
2 Correct 116 ms 66556 KB Output is correct
3 Correct 127 ms 66592 KB Output is correct
4 Correct 106 ms 66612 KB Output is correct
5 Correct 122 ms 66760 KB Output is correct
6 Correct 120 ms 66636 KB Output is correct
7 Correct 120 ms 66668 KB Output is correct
8 Correct 28 ms 66004 KB Output is correct
9 Correct 29 ms 65972 KB Output is correct
10 Correct 28 ms 66080 KB Output is correct
11 Correct 298 ms 71616 KB Output is correct
12 Correct 283 ms 71844 KB Output is correct
13 Correct 302 ms 71548 KB Output is correct
14 Correct 300 ms 71456 KB Output is correct
15 Correct 276 ms 71748 KB Output is correct
16 Correct 307 ms 72064 KB Output is correct
17 Correct 335 ms 72132 KB Output is correct
18 Correct 303 ms 72240 KB Output is correct
19 Correct 267 ms 71452 KB Output is correct
20 Correct 277 ms 71420 KB Output is correct
21 Correct 278 ms 71340 KB Output is correct
22 Correct 678 ms 71216 KB Output is correct
23 Correct 165 ms 66368 KB Output is correct
24 Correct 164 ms 66356 KB Output is correct
25 Correct 169 ms 66400 KB Output is correct
26 Correct 171 ms 66300 KB Output is correct
27 Correct 174 ms 66504 KB Output is correct
28 Correct 166 ms 66360 KB Output is correct
29 Correct 31 ms 66004 KB Output is correct
30 Correct 29 ms 66004 KB Output is correct
31 Correct 29 ms 65992 KB Output is correct
32 Correct 682 ms 71164 KB Output is correct
33 Correct 672 ms 71052 KB Output is correct
34 Correct 745 ms 71180 KB Output is correct
35 Correct 664 ms 71116 KB Output is correct
36 Correct 581 ms 71436 KB Output is correct
37 Correct 566 ms 71456 KB Output is correct
38 Correct 599 ms 71532 KB Output is correct
39 Correct 700 ms 71244 KB Output is correct
40 Correct 708 ms 71196 KB Output is correct
41 Correct 709 ms 71148 KB Output is correct
42 Correct 701 ms 71160 KB Output is correct
43 Correct 674 ms 71116 KB Output is correct
44 Correct 673 ms 71096 KB Output is correct
45 Correct 684 ms 71156 KB Output is correct

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 230 ms 71372 KB Output is correct
2 Correct 124 ms 66372 KB Output is correct
3 Correct 124 ms 66288 KB Output is correct
4 Correct 127 ms 66348 KB Output is correct
5 Correct 124 ms 66408 KB Output is correct
6 Correct 122 ms 66428 KB Output is correct
7 Correct 125 ms 66276 KB Output is correct
8 Correct 29 ms 65976 KB Output is correct
9 Correct 29 ms 65996 KB Output is correct
10 Correct 28 ms 66088 KB Output is correct
11 Correct 236 ms 71476 KB Output is correct
12 Correct 227 ms 71324 KB Output is correct
13 Correct 231 ms 71628 KB Output is correct
14 Correct 281 ms 71584 KB Output is correct
15 Correct 236 ms 71628 KB Output is correct
16 Correct 238 ms 71252 KB Output is correct
17 Correct 232 ms 71260 KB Output is correct
18 Correct 244 ms 71276 KB Output is correct
19 Correct 30 ms 65976 KB Output is correct
20 Correct 30 ms 65964 KB Output is correct
21 Correct 31 ms 65980 KB Output is correct
22 Correct 29 ms 66060 KB Output is correct
23 Correct 30 ms 66068 KB Output is correct
24 Correct 29 ms 66040 KB Output is correct
25 Correct 28 ms 65980 KB Output is correct
26 Correct 30 ms 66092 KB Output is correct
27 Correct 29 ms 66004 KB Output is correct
28 Correct 30 ms 65992 KB Output is correct
29 Correct 29 ms 66016 KB Output is correct
30 Correct 30 ms 66092 KB Output is correct
31 Correct 29 ms 66084 KB Output is correct
32 Correct 32 ms 66040 KB Output is correct
33 Correct 30 ms 66040 KB Output is correct
34 Correct 31 ms 66024 KB Output is correct
35 Correct 30 ms 65996 KB Output is correct
36 Correct 30 ms 66132 KB Output is correct
37 Correct 36 ms 66088 KB Output is correct
38 Incorrect 34 ms 65996 KB Output isn't correct
39 Halted 0 ms 0 KB -