Submission details
Task:Distances
Sender:frederikvase
Submission time:2026-04-21 13:05:24 +0300
Language:C++ (C++20)
Status:READY
Result:100
Feedback
subtaskverdictscore
#1ACCEPTED11
#2ACCEPTED4
#3ACCEPTED6
#4ACCEPTED19
#5ACCEPTED22
#6ACCEPTED38
Test results
testverdicttimesubtask
#1ACCEPTED0.04 s1, 4, 6details
#2ACCEPTED0.04 s1, 2, 3, 4, 5, 6details
#3ACCEPTED0.04 s1, 3, 4, 5, 6details
#4ACCEPTED0.04 s1, 2, 4, 6details
#5ACCEPTED0.04 s1, 3, 4, 5, 6details
#6ACCEPTED0.04 s1, 4, 6details
#7ACCEPTED0.04 s1, 4, 6details
#8ACCEPTED0.04 s1, 2, 4, 6details
#9ACCEPTED0.04 s1, 3, 4, 5, 6details
#10ACCEPTED0.04 s1, 4, 5, 6details
#11ACCEPTED0.04 s1, 4, 6details
#12ACCEPTED0.04 s1, 4, 6details
#13ACCEPTED0.04 s1, 4, 6details
#14ACCEPTED0.04 s1, 6details
#15ACCEPTED0.04 s1, 2, 6details
#16ACCEPTED0.04 s4, 6details
#17ACCEPTED0.04 s4, 6details
#18ACCEPTED0.04 s3, 4, 5, 6details
#19ACCEPTED0.04 s4, 5, 6details
#20ACCEPTED0.04 s4, 5, 6details
#21ACCEPTED0.04 s5, 6details
#22ACCEPTED0.04 s5, 6details
#23ACCEPTED0.04 s2, 6details
#24ACCEPTED0.04 s3, 4, 5, 6details
#25ACCEPTED0.04 s4, 5, 6details
#26ACCEPTED0.04 s4, 5, 6details
#27ACCEPTED0.04 s5, 6details
#28ACCEPTED0.04 s5, 6details
#29ACCEPTED0.04 s2, 6details
#30ACCEPTED0.04 s3, 4, 5, 6details
#31ACCEPTED0.04 s4, 5, 6details
#32ACCEPTED0.04 s4, 5, 6details
#33ACCEPTED0.04 s4, 5, 6details
#34ACCEPTED0.04 s5, 6details
#35ACCEPTED0.04 s5, 6details
#36ACCEPTED0.04 s5, 6details
#37ACCEPTED0.04 s6details
#38ACCEPTED0.04 s6details
#39ACCEPTED0.04 s2, 6details
#40ACCEPTED0.04 s6details
#41ACCEPTED0.04 s6details
#42ACCEPTED0.04 s6details
#43ACCEPTED0.04 s6details
#44ACCEPTED0.04 s6details

Code

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

#define sz(x) int(x.size())
#define all(x) begin(x), end(x)

const int mxn = 1e6;
int sieve[mxn];
void make_sieve() {
	for (int i = 2; i < mxn; i++) {
		if (sieve[i]) continue;
		for (int j = i; j < mxn; j += i) {
			sieve[j] = i;
		}
	}
}

vector<int> divisors(int x) {
	vector<int> div = { 1 };
	while (x > 1) {
		int p = sieve[x];
		vector<int> mul = { p };
		for (x /= p; sieve[x] == p; x /= p) {
			mul.push_back(mul.back() * p);
		}
		for (int i = sz(div) - 1; i >= 0; i--) {
			for (int m : mul) div.push_back(div[i] * m);
		}
	}
	//sort(all(div));
	return div;
}

bool is_square(ll x) {
	ll xx = sqrt(x) + 0.5;
	return xx * xx == x;
}

signed main() {
	cin.tie(0)->sync_with_stdio(0);

	make_sieve();

	auto divs = divisors(1LL*2*2*2*2*3*3*3*5*7);

	ll n, k;
	cin >> n >> k;

	vector<pair<ll, ll>> a;
	ll l = 1;
	for (ll h : divs) {
		for (ll w = h; w <= 1e4; w++) {
			if (gcd(h, w) == 1 && is_square(h * h + w * w)) {
				l = lcm(l, h);
				a.emplace_back(h, w);
			}
		}
	}

	for (auto &[h, w] : a) {
		w = w * (l / h);
		h = l;
	}

	sort(all(a));

	ll mx = 1;
	while (mx * (mx + 1) / 2 <= k) mx++;

	vector<pair<ll, ll>> res;
	res.emplace_back(1, 0);
	for (int i = 0; i < mx - 1; i++) {
		res.emplace_back(a[i].second + 1, 0);
	}

	k -= mx * (mx - 1) / 2;
	for (int i = 0; i < k; i++) {
		res[i].first--;
	}

	for (int i = 0; sz(res) < n; i++) {
		res.emplace_back(-i - (i == 0 ? 0 : ll(7e8)), a[0].first + i + (i == 0 ? 0 : ll(6.5e8)));
	}

	for (auto [x, y] : res) {
		cout << x << " " << y << "\n";
	}

	return 0;
}

Test details

Test 1

Subtask: 1, 4, 6

Verdict: ACCEPTED

input
3 2

correct output
1 1
1 2
2 2

user output
0 0
15877 0
0 15120

Test 2

Subtask: 1, 2, 3, 4, 5, 6

Verdict: ACCEPTED

input
1 0

correct output
1 0

user output
1 0

Test 3

Subtask: 1, 3, 4, 5, 6

Verdict: ACCEPTED

input
2 0

correct output
1 0
804289383 846930886

user output
1 0
0 15120

Test 4

Subtask: 1, 2, 4, 6

Verdict: ACCEPTED

input
2 1

correct output
1 0
2 0

user output
1 0
15877 0

Test 5

Subtask: 1, 3, 4, 5, 6

Verdict: ACCEPTED

input
3 0

correct output
1 0
804289383 846930886
681692777 714636915

user output
1 0
0 15120
-700000001 650015121

Test 6

Subtask: 1, 4, 6

Verdict: ACCEPTED

input
3 1

correct output
1 0
2 0
804289383 846930886

user output
1 0
15877 0
0 15120

Test 7

Subtask: 1, 4, 6

Verdict: ACCEPTED

input
3 2

correct output
1 1
1 2
2 2

user output
0 0
15877 0
0 15120

Test 8

Subtask: 1, 2, 4, 6

Verdict: ACCEPTED

input
3 3

correct output
1 0
2 0
3 0

user output
1 0
15877 0
16501 0

Test 9

Subtask: 1, 3, 4, 5, 6

Verdict: ACCEPTED

input
4 0

correct output
1 0
804289383 846930886
681692777 714636915
957747793 424238335

user output
1 0
0 15120
-700000001 650015121
-700000002 650015122

Test 10

Subtask: 1, 4, 5, 6

Verdict: ACCEPTED

input
4 1

correct output
1 0
2 0
804289383 846930886
681692777 714636915

user output
1 0
15877 0
0 15120
-700000001 650015121

Test 11

Subtask: 1, 4, 6

Verdict: ACCEPTED

input
4 2

correct output
21392 0
1 0
0 510510
804289383 846930886

user output
0 0
15877 0
0 15120
-700000001 650015121

Test 12

Subtask: 1, 4, 6

Verdict: ACCEPTED

input
4 3

correct output
1 0
2 0
3 0
804289383 846930886

user output
1 0
15877 0
16501 0
0 15120

Test 13

Subtask: 1, 4, 6

Verdict: ACCEPTED

input
4 4

correct output
21392 0
1 0
2 0
0 510510

user output
0 0
15877 0
16501 0
0 15120

Test 14

Subtask: 1, 6

Verdict: ACCEPTED

input
4 5

correct output
21392 0
22600 0
1 0
0 510510

user output
0 0
15876 0
16501 0
0 15120

Test 15

Subtask: 1, 2, 6

Verdict: ACCEPTED

input
4 6

correct output
1 0
2 0
3 0
4 0

user output
1 0
15877 0
16501 0
16685 0

Test 16

Subtask: 4, 6

Verdict: ACCEPTED

input
5 5

correct output
21392 0
22600 0
1 0
0 510510
804289383 846930886

user output
0 0
15876 0
16501 0
0 15120
-700000001 650015121

Test 17

Subtask: 4, 6

Verdict: ACCEPTED

input
6 5

correct output
21392 0
22600 0
1 0
0 510510
804289383 846930886
...

user output
0 0
15876 0
16501 0
0 15120
-700000001 650015121
...

Test 18

Subtask: 3, 4, 5, 6

Verdict: ACCEPTED

input
98 0

correct output
1 0
804289383 846930886
681692777 714636915
957747793 424238335
719885386 649760492
...

user output
1 0
0 15120
-700000001 650015121
-700000002 650015122
-700000003 650015123
...

Test 19

Subtask: 4, 5, 6

Verdict: ACCEPTED

input
98 97

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 20

Subtask: 4, 5, 6

Verdict: ACCEPTED

input
98 98

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 21

Subtask: 5, 6

Verdict: ACCEPTED

input
98 1185

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 22

Subtask: 5, 6

Verdict: ACCEPTED

input
98 1188

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 23

Subtask: 2, 6

Verdict: ACCEPTED

input
98 4753

correct output
1 0
2 0
3 0
4 0
5 0
...

user output
1 0
15877 0
16501 0
16685 0
16966 0
...

Test 24

Subtask: 3, 4, 5, 6

Verdict: ACCEPTED

input
99 0

correct output
1 0
804289383 846930886
681692777 714636915
957747793 424238335
719885386 649760492
...

user output
1 0
0 15120
-700000001 650015121
-700000002 650015122
-700000003 650015123
...

Test 25

Subtask: 4, 5, 6

Verdict: ACCEPTED

input
99 98

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 26

Subtask: 4, 5, 6

Verdict: ACCEPTED

input
99 99

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 27

Subtask: 5, 6

Verdict: ACCEPTED

input
99 1201

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 28

Subtask: 5, 6

Verdict: ACCEPTED

input
99 1212

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 29

Subtask: 2, 6

Verdict: ACCEPTED

input
99 4851

correct output
1 0
2 0
3 0
4 0
5 0
...

user output
1 0
15877 0
16501 0
16685 0
16966 0
...

Test 30

Subtask: 3, 4, 5, 6

Verdict: ACCEPTED

input
100 0

correct output
1 0
804289383 846930886
681692777 714636915
957747793 424238335
719885386 649760492
...

user output
1 0
0 15120
-700000001 650015121
-700000002 650015122
-700000003 650015123
...

Test 31

Subtask: 4, 5, 6

Verdict: ACCEPTED

input
100 1

correct output
1 0
2 0
804289383 846930886
681692777 714636915
957747793 424238335
...

user output
1 0
15877 0
0 15120
-700000001 650015121
-700000002 650015122
...

Test 32

Subtask: 4, 5, 6

Verdict: ACCEPTED

input
100 5

correct output
21392 0
22600 0
1 0
0 510510
804289383 846930886
...

user output
0 0
15876 0
16501 0
0 15120
-700000001 650015121
...

Test 33

Subtask: 4, 5, 6

Verdict: ACCEPTED

input
100 100

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 34

Subtask: 5, 6

Verdict: ACCEPTED

input
100 1000

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 35

Subtask: 5, 6

Verdict: ACCEPTED

input
100 1232

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 36

Subtask: 5, 6

Verdict: ACCEPTED

input
100 1237

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 37

Subtask: 6

Verdict: ACCEPTED

input
100 2222

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 38

Subtask: 6

Verdict: ACCEPTED

input
100 3395

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 39

Subtask: 2, 6

Verdict: ACCEPTED

input
100 4950

correct output
1 0
2 0
3 0
4 0
5 0
...

user output
1 0
15877 0
16501 0
16685 0
16966 0
...

Test 40

Subtask: 6

Verdict: ACCEPTED

input
100 4949

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 41

Subtask: 6

Verdict: ACCEPTED

input
100 4948

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 42

Subtask: 6

Verdict: ACCEPTED

input
100 4930

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 43

Subtask: 6

Verdict: ACCEPTED

input
100 4920

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...

Test 44

Subtask: 6

Verdict: ACCEPTED

input
100 4900

correct output
21392 0
22600 0
30056 0
34848 0
38584 0
...

user output
0 0
15876 0
16500 0
16684 0
16965 0
...