CSES - Datatähti 2021 alku - Results
Submission details
Task:Alitaulukot
Sender:jubidubi
Submission time:2020-09-28 14:21:30 +0300
Language:C++11
Status:READY
Result:100
Feedback
groupverdictscore
#1ACCEPTED11
#2ACCEPTED26
#3ACCEPTED63
Test results
testverdicttimegroup
#1ACCEPTED0.01 s1, 2, 3details
#2ACCEPTED0.01 s1, 2, 3details
#3ACCEPTED0.01 s1, 2, 3details
#4ACCEPTED0.01 s1, 2, 3details
#5ACCEPTED0.01 s1, 2, 3details
#6ACCEPTED0.01 s2, 3details
#7ACCEPTED0.01 s2, 3details
#8ACCEPTED0.01 s2, 3details
#9ACCEPTED0.01 s2, 3details
#10ACCEPTED0.01 s2, 3details
#11ACCEPTED0.04 s3details
#12ACCEPTED0.03 s3details
#13ACCEPTED0.03 s3details
#14ACCEPTED0.07 s3details
#15ACCEPTED0.05 s3details
#16ACCEPTED0.06 s3details
#17ACCEPTED0.06 s3details

Code

#include <bits/stdc++.h>
using namespace std;
using ll = long long;

const int N = 1 << 17;
ll dp[N];
ll d[2*N][2];

void change(int k, ll x) {
	k += N;
	d[k][0] = x;
	d[k][1] = x;
	for (k /= 2; k >= 1; k /= 2) {
		d[k][0] = min(d[k*2][0], d[k*2+1][0]);
		d[k][1] = max(d[k*2][1], d[k*2+1][1]);
	}
}

ll mn(int a, int b) {
	a += N;
	b += N;

	ll m = 1e18;
	while (a <= b) {
		if (a % 2 == 1) m = min(m, d[a++][0]);
		if (b % 2 == 0) m = min(m, d[b--][0]);
		a /= 2;
		b /= 2;
	}
	return m;
}

ll mx(int a, int b) {
	a += N;
	b += N;

	ll m = 0;
	while (a <= b) {
		if (a % 2 == 1) m = max(m, d[a++][1]);
		if (b % 2 == 0) m = max(m, d[b--][1]);
		a /= 2;
		b /= 2;
	}
	return m;
}

int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0);

	int n, k;
	cin >> n >> k;

	vector<ll> v(n);
	for (int i = 0; i < n; ++i) cin >> v[i];
	for (int i = 0; i < n; ++i) change(i, v[i]);

	for (int i = 0; i <= n; ++i) {
		if (i == n || mx(0, i)-mn(0, i) > k) {
			dp[0] = i;
			break;
		}
	}

	ll r = dp[0];

	for (int a = 1; a < n; ++a) {
		for (int b = a+dp[a-1]-1; b <= n; ++b) {
			if (b == n || mx(a, b) - mn(a, b) > k) {
				dp[a] = b-a;
				r += dp[a];
				break;
			}
		}
	}
	cout << r << '\n';
}

Test details

Test 1

Group: 1, 2, 3

Verdict: ACCEPTED

input
100 0
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

correct output
5050

user output
5050

Test 2

Group: 1, 2, 3

Verdict: ACCEPTED

input
100 2
5 5 2 4 3 5 3 4 3 2 3 4 5 4 4 ...

correct output
317

user output
317

Test 3

Group: 1, 2, 3

Verdict: ACCEPTED

input
100 10
71 60 61 96 25 10 10 9 84 85 1...

correct output
119

user output
119

Test 4

Group: 1, 2, 3

Verdict: ACCEPTED

input
100 990000000
111122929 961821360 578238211 ...

correct output
4006

user output
4006

Test 5

Group: 1, 2, 3

Verdict: ACCEPTED

input
100 1000000000
553190572 453407680 667300705 ...

correct output
5050

user output
5050

Test 6

Group: 2, 3

Verdict: ACCEPTED

input
2000 0
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

correct output
2001000

user output
2001000

Test 7

Group: 2, 3

Verdict: ACCEPTED

input
2000 2
4 4 1 4 2 3 1 2 1 3 5 2 2 4 4 ...

correct output
6340

user output
6340

Test 8

Group: 2, 3

Verdict: ACCEPTED

input
2000 10
65 88 33 88 41 10 17 38 22 3 8...

correct output
2413

user output
2413

Test 9

Group: 2, 3

Verdict: ACCEPTED

input
2000 999000000
746120950 772769620 721488968 ...

correct output
1287776

user output
1287776

Test 10

Group: 2, 3

Verdict: ACCEPTED

input
2000 1000000000
621947980 510355354 756705418 ...

correct output
2001000

user output
2001000

Test 11

Group: 3

Verdict: ACCEPTED

input
100000 0
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

correct output
5000050000

user output
5000050000

Test 12

Group: 3

Verdict: ACCEPTED

input
100000 2
3 3 1 3 3 1 1 5 1 2 5 4 1 3 1 ...

correct output
317066

user output
317066

Test 13

Group: 3

Verdict: ACCEPTED

input
100000 10
10 3 6 3 43 60 5 48 15 27 86 4...

correct output
123292

user output
123292

Test 14

Group: 3

Verdict: ACCEPTED

input
100000 999990000
460235639 963048588 47270983 3...

correct output
4946886742

user output
4946886742

Test 15

Group: 3

Verdict: ACCEPTED

input
100000 1000000000
885457070 18257718 927615960 3...

correct output
5000050000

user output
5000050000

Test 16

Group: 3

Verdict: ACCEPTED

input
100000 50000
1 2 3 4 5 6 7 8 9 10 11 12 13 ...

correct output
3750075000

user output
3750075000

Test 17

Group: 3

Verdict: ACCEPTED

input
100000 50000
100000 99999 99998 99997 99996...

correct output
3750075000

user output
3750075000