CSES - Datatähti Open 2019 - Results
Submission details
Task:Function
Sender:tutis
Submission time:2019-01-19 19:16:43 +0200
Language:C++
Status:READY
Result:0
Feedback
groupverdictscore
#10
#20
Test results
testverdicttimegroup
#10.01 s1details
#2ACCEPTED0.02 s1details
#3ACCEPTED0.01 s1details
#40.01 s1details
#5ACCEPTED0.04 s1details
#60.03 s1details
#70.02 s1details
#8ACCEPTED0.02 s1details
#90.01 s1details
#100.02 s2details
#11ACCEPTED0.03 s2details
#12ACCEPTED0.02 s2details
#130.02 s2details
#14ACCEPTED0.06 s2details
#150.05 s2details
#160.06 s2details
#170.05 s2details
#18ACCEPTED0.04 s2details
#19ACCEPTED0.04 s2details
#200.04 s2details
#210.01 s2details
#22ACCEPTED0.36 s2details
#230.37 s2details
#240.35 s2details
#25ACCEPTED0.35 s2details
#260.32 s2details
#270.33 s2details
#28ACCEPTED0.19 s2details
#290.24 s2details
#30ACCEPTED0.03 s2details
#31ACCEPTED0.01 s2details
#320.03 s2details
#330.02 s2details
#34ACCEPTED0.07 s2details
#35ACCEPTED0.34 s2details

Code

/*input
2
4
0 0
2 1
3 -1
2 -2
4
0 0
2 1
3 -1
2 0
*/
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
const ll modulo = (1000000000) + 7;
struct point
{
	ll x, y;
	point()
	{

	}
	point(ll x, ll y): x(x), y(y)
	{

	}
};
point operator-(point a, point b)
{
	return point(a.x - b.x, a.y - b.y);
}
point operator*(point a, point b)
{
	return point(a.x * b.x - a.y * b.y, a.x * b.y + a.y * b.x);
}
ll cross(point a, point b)
{
	return (a.x * b.y - a.y * b.x);
}
bool vienodi(point a, point b)
{
	if (cross(a, b) != 0)
		return false;
	if (a.x * b.x < 0 || a.y * b.y < 0)
		return false;
	return true;
}
void rask(point a, point b, point c, point d, point &L, point &R, bool &ok)
{
	if (vienodi(a, c))
		return;
	if (vienodi(b, d))
		return;
	if (cross(a, c) < 0 && cross(c, b) < 0)
	{
		L = c;
		R = b;
		return;
	}
	if (cross(a, d) < 0 && cross(d, b) < 0)
	{
		L = a;
		R = d;
		return;
	}
	ok = false;
}
int main()
{
	ios_base::sync_with_stdio(false);
	ll T;
	cin >> T;
	while (T--)
	{
		ll n;
		cin >> n;
		point a[n];
		for (ll i = 0; i < n; i++)
			cin >> a[i].x >> a[i].y;
		point lo[n];
		point hi[n];
		for (ll i = 1; i < n; i++)
		{
			point X = a[i] - a[i - 1];
			lo[i] = point(X.x, X.y);
			hi[i] = point(-X.x, -X.y);
		}
		point L = lo[1];
		point R = hi[1];
		bool ok = true;
		for (ll j = 2; j < n; j++)
		{
			if (ok)
				rask(L, R, lo[j], hi[j], L, R, ok);
		}
		if (ok)
			cout << "YES\n";
		else
		{
			for (ll i = 0; i < n; i++)
				a[i] = a[i] * L;
			ok = true;
			for (ll i = 1; i < n; i++)
				if (a[i].x <= a[i - 1].x)
					ok = false;
			if (ok)
				cout << "YES\n";
			else
				cout << "NO\n";
		}
	}
}

Test details

Test 1

Group: 1

Verdict:

input
12
2
0 0
1 1
5
...

correct output
YES
YES
NO
YES
YES
...

user output
YES
YES
NO
YES
YES
...

Test 2

Group: 1

Verdict: ACCEPTED

input
100
2
92 30
22 44
2
...

correct output
YES
YES
YES
YES
YES
...

user output
YES
YES
YES
YES
YES
...

Test 3

Group: 1

Verdict: ACCEPTED

input
100
3
-55 -98
-59 -55
-2 88
...

correct output
YES
YES
YES
YES
YES
...

user output
YES
YES
YES
YES
YES
...

Test 4

Group: 1

Verdict:

input
100
4
87 81
-84 42
18 -46
...

correct output
YES
YES
YES
YES
YES
...

user output
YES
YES
NO
YES
NO
...

Test 5

Group: 1

Verdict: ACCEPTED

input
100
1000
-81 38
92 -21
-10 -65
...

correct output
NO
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 6

Group: 1

Verdict:

input
100
110
-99 -9
-98 -9
-96 -8
...

correct output
NO
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 7

Group: 1

Verdict:

input
100
78
-100 95
-99 96
-98 95
...

correct output
NO
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 8

Group: 1

Verdict: ACCEPTED

input
100
201
-100 97
-100 96
-99 99
...

correct output
NO
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 9

Group: 1

Verdict:

input
100
45
-100 89
-100 90
-97 90
...

correct output
YES
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 10

Group: 2

Verdict:

input
13
2
0 0
1 1
5
...

correct output
YES
YES
NO
YES
YES
...

user output
YES
YES
NO
YES
YES
...

Test 11

Group: 2

Verdict: ACCEPTED

input
100
2
-517113909 -39540276
-209411537 -831819487
2
...

correct output
YES
YES
YES
YES
YES
...

user output
YES
YES
YES
YES
YES
...

Test 12

Group: 2

Verdict: ACCEPTED

input
100
3
-991349544 139282777
646238126 16140762
-4488261 817588303
...

correct output
YES
YES
YES
YES
YES
...

user output
YES
YES
YES
YES
YES
...

Test 13

Group: 2

Verdict:

input
100
4
891187584 -889373775
-453505448 -469134344
-683807769 8725517
...

correct output
YES
NO
YES
NO
NO
...

user output
YES
NO
YES
NO
NO
...

Test 14

Group: 2

Verdict: ACCEPTED

input
100
1000
-866614983 -994037153
775605588 -328510132
390868551 927606059
...

correct output
NO
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 15

Group: 2

Verdict:

input
100
1000
-911073332 -1000000000
-905159999 -1000000000
-904949593 -999999999
...

correct output
YES
YES
YES
NO
NO
...

user output
NO
YES
NO
NO
NO
...

Test 16

Group: 2

Verdict:

input
100
1000
-1000000000 950042028
-946551105 -1000000000
-940508390 -1000000000
...

correct output
NO
YES
YES
YES
NO
...

user output
NO
NO
YES
YES
NO
...

Test 17

Group: 2

Verdict:

input
100
1000
-949977239 -1000000000
-948279892 -1000000000
-947497811 -999999999
...

correct output
YES
YES
YES
YES
YES
...

user output
NO
NO
YES
NO
YES
...

Test 18

Group: 2

Verdict: ACCEPTED

input
100
806
-899 -1000
-898 -1000
-896 -999
...

correct output
NO
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 19

Group: 2

Verdict: ACCEPTED

input
100
777
-1000 914
-1000 915
-999 916
...

correct output
NO
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 20

Group: 2

Verdict:

input
100
775
-999 998
-995 -1000
-994 -1000
...

correct output
NO
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 21

Group: 2

Verdict:

input
13
2
0 0
1 1
5
...

correct output
YES
YES
NO
YES
YES
...

user output
YES
YES
NO
YES
YES
...

Test 22

Group: 2

Verdict: ACCEPTED

input
1
999748
-995394098 -1000000000
-995392159 -1000000000
-995386584 -999999999
...

correct output
NO

user output
NO

Test 23

Group: 2

Verdict:

input
1
1000000
-954368893 -1000000000
-954366895 -1000000000
-954364896 -999999999
...

correct output
YES

user output
NO

Test 24

Group: 2

Verdict:

input
1
1000000
-1000000000 928772368
-1000000000 928772506
-999999999 928772642
...

correct output
YES

user output
NO

Test 25

Group: 2

Verdict: ACCEPTED

input
1
999754
-901705699 -1000000000
-901702695 -1000000000
-901702062 -999999999
...

correct output
NO

user output
NO

Test 26

Group: 2

Verdict:

input
100
10000
-1000000000 919783772
-918885599 -1000000000
-918825263 -1000000000
...

correct output
NO
YES
YES
NO
NO
...

user output
NO
YES
NO
NO
NO
...

Test 27

Group: 2

Verdict:

input
10
99998
-997024120 -77018772
-997011201 -77017738
-996986132 -77015834
...

correct output
YES
YES
NO
YES
YES
...

user output
NO
NO
NO
YES
NO
...

Test 28

Group: 2

Verdict: ACCEPTED

input
100
7934
-10000 9905
-10000 9906
-9999 9906
...

correct output
NO
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 29

Group: 2

Verdict:

input
100
9710
-99754 -6983
-99786 -6055
-99751 -6548
...

correct output
YES
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 30

Group: 2

Verdict: ACCEPTED

input
100
2
802396401 -641287652
30956766 -527704723
2
...

correct output
YES
YES
YES
YES
YES
...

user output
YES
YES
YES
YES
YES
...

Test 31

Group: 2

Verdict: ACCEPTED

input
100
3
755025461 -953536159
-402145543 137775005
-700733185 821755784
...

correct output
YES
YES
YES
YES
YES
...

user output
YES
YES
YES
YES
YES
...

Test 32

Group: 2

Verdict:

input
100
4
-673213071 571383249
-963633735 -859013318
-591788323 791136643
...

correct output
NO
NO
NO
NO
YES
...

user output
NO
NO
NO
NO
YES
...

Test 33

Group: 2

Verdict:

input
100
5
-124483012 623794901
233757283 -234519096
-987338502 737259422
...

correct output
NO
NO
YES
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 34

Group: 2

Verdict: ACCEPTED

input
100
1000
154383911 872030445
-9594726 190227899
908758769 -9615631
...

correct output
NO
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...

Test 35

Group: 2

Verdict: ACCEPTED

input
100
10000
642800667 -694556052
-343795089 -341227394
800920828 676674460
...

correct output
NO
NO
NO
NO
NO
...

user output
NO
NO
NO
NO
NO
...