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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#678#117. 【0621 模拟赛】TROKUTIprotractor100932ms9684kbC++141.1kb2025-06-21 15:54:082025-06-21 23:52:05

answer

#include<iostream>
#include<map>
#include<utility>
#include<cmath>
#define ny(x) lpow(x,mod-2)
using namespace std;
const long long int mod=1e9+7;
long long jc[300050];
long long lpow(long long x,int y)
{
	long long ans=1;
	while(y)
	{
		if(y&1) ans*=x;
		x*=x;
		ans%=mod;
		x%=mod;
		y/=2;
	}
	return ans;
}
long long C(int x,int y)
{
	if(x<y) return 0;
	return jc[x]*ny(jc[x-y])%mod*ny(jc[y])%mod;
}
void init()
{
	jc[0]=1;
	for(int i=1;i<=300000;i++) jc[i]=jc[i-1]*i%mod;
}
int gcd(int i,int j)
{
	int l;
	while(j)
	{
		l=i%j;
		i=j;
		j=l;
	}
	return i;
}
int n;
int t[300050],cnt;
map<pair<int,int>,int> m;
int a,b,c;
int main()
{
	init();
	cin>>n;
	for(int i=1;i<=n;i++)
	{
		cin>>a>>b>>c;
		int d=gcd(abs(a),abs(b));
		a/=d,b/=d;
		if(a<0) a*=-1,b*=-1;
		if(m[make_pair(a,b)]) t[m[make_pair(a,b)]]++;
		else
		{
			m[make_pair(a,b)]=++cnt;
			t[cnt]++;
		}
	}
	long long ans=C(n,3);
	for(int i=1;i<=cnt;i++)
	{
		ans=((((ans-C(t[i],3))%mod+mod)%mod-C(t[i],2)*(n-t[i])%mod)%mod+mod)%mod;
	}
	cout<<ans;
	return 0;
}

Details

小提示:点击横条可展开更详细的信息

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 3ms
memory: 5716kb

input:

500
73102 49767 81374
73102 49767 92538
73102 49767 13140
73102 49767 24384
73102 49767 27887
17295 ...

output:

20377848

result:

ok "20377848"

Test #2:

score: 0
Accepted
time: 4ms
memory: 5464kb

input:

500
124 63117 7826508
7035 56206 395409210
11693 51548 602750764
9043 54198 490112514
12433 50808 63...

output:

11783400

result:

ok "11783400"

Subtask #2:

score: 10
Accepted

Test #3:

score: 10
Accepted
time: 3ms
memory: 5680kb

input:

500
161481 156950 868380
161481 156950 129078
161481 156950 461965
161481 156950 884496
161481 15695...

output:

20354576

result:

ok "20354576"

Test #4:

score: 0
Accepted
time: 2ms
memory: 5480kb

input:

500
54987 8254 453862698
22821 40420 922424820
55211 8030 443344330
7995 55246 441691770
7536 55705 ...

output:

11783400

result:

ok "11783400"

Subtask #3:

score: 10
Accepted

Test #5:

score: 10
Accepted
time: 3ms
memory: 5528kb

input:

500
1616 7821 6023
1616 7821 1348
1616 7821 1311
1616 7821 8768
1616 7821 3224
1041 342 8905
1041 34...

output:

20376818

result:

ok "20376818"

Test #6:

score: 0
Accepted
time: 2ms
memory: 5608kb

input:

500
28122 35119 987616518
39998 23243 929673514
6803 56438 383947714
10419 52822 550352418
4210 5903...

output:

11783400

result:

ok "11783400"

Subtask #4:

score: 10
Accepted

Test #7:

score: 10
Accepted
time: 8ms
memory: 5768kb

input:

5000
389677 811320 494924
389677 811320 749898
444969 181234 734834
444969 181234 901259
444969 1812...

output:

787588230

result:

ok "787588230"

Test #8:

score: 0
Accepted
time: 7ms
memory: 5544kb

input:

5000
23083 40158 926967114
60406 2835 171251010
24995 38246 955958770
29023 34218 993109014
3991 592...

output:

828333923

result:

ok "828333923"

Subtask #5:

score: 10
Accepted

Test #9:

score: 10
Accepted
time: 7ms
memory: 5608kb

input:

5000
879363 278076 350260
879363 278076 59028
879363 278076 651081
879363 278076 693725
879363 27807...

output:

787932788

result:

ok "787932788"

Test #10:

score: 0
Accepted
time: 7ms
memory: 5656kb

input:

5000
37905 25336 960361080
35770 27471 982637670
52420 10821 567236820
30663 32578 998939214
45883 1...

output:

828333923

result:

ok "828333923"

Subtask #6:

score: 10
Accepted

Test #11:

score: 10
Accepted
time: 8ms
memory: 5768kb

input:

5000
723822 556273 863546
723822 556273 609176
150507 44473 252270
150507 44473 584705
478150 568821...

output:

787762934

result:

ok "787762934"

Test #12:

score: 0
Accepted
time: 6ms
memory: 5844kb

input:

5000
39891 23350 931454850
16346 46895 766545670
33352 29889 996857928
11336 51905 588395080
43183 2...

output:

828333923

result:

ok "828333923"

Subtask #7:

score: 10
Accepted

Test #13:

score: 10
Accepted
time: 19ms
memory: 5852kb

input:

10000
393478769 738556203 6827952
393478769 738556203 523642363
393478769 738556203 876852848
393478...

output:

484345046

result:

ok "484345046"

Test #14:

score: 0
Accepted
time: 272ms
memory: 9648kb

input:

300000
31401 31840 999807840
54120 9121 493628520
46872 16369 767247768
60349 2892 174529308
31055 3...

output:

990696070

result:

ok "990696070"

Subtask #8:

score: 10
Accepted

Test #15:

score: 10
Accepted
time: 20ms
memory: 5856kb

input:

10000
43150731 562981536 60415743
43150731 562981536 458963024
43150731 562981536 368003258
43150731...

output:

483275456

result:

ok "483275456"

Test #16:

score: 0
Accepted
time: 202ms
memory: 9684kb

input:

210000
56426 6815 384543190
17171 46070 791067970
31577 31664 999854128
10214 53027 541617778
27620 ...

output:

695778049

result:

ok "695778049"

Subtask #9:

score: 10
Accepted

Test #17:

score: 10
Accepted
time: 20ms
memory: 5904kb

input:

10000
226922248 948048502 664992202
226922248 948048502 970629073
226922248 948048502 51606080
22692...

output:

481876198

result:

ok "481876198"

Test #18:

score: 0
Accepted
time: 235ms
memory: 9600kb

input:

249243
17136 46105 790055280
49548 13693 678460764
6857 56384 386625088
32641 30600 998814600
26037 ...

output:

916345391

result:

ok "916345391"

Subtask #10:

score: 10
Accepted

Test #19:

score: 10
Accepted
time: 18ms
memory: 5888kb

input:

10000
176721617 620409850 489941614
816064587 763087269 5642316
816064587 763087269 362859512
816064...

output:

482006082

result:

ok "482006082"

Test #20:

score: 0
Accepted
time: 86ms
memory: 7768kb

input:

77777
23811 39430 938867730
5264 57977 305190928
7972 55269 440604468
27186 36055 980191230
29278 33...

output:

815976874

result:

ok "815976874"