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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#704#117. 【0621 模拟赛】TROKUTItaccat1001020ms7840kbC++14764b2025-06-21 16:20:392025-06-21 23:53:22

answer

#include<bits/stdc++.h>
#define ll   long long
#define mod   1000000007
const ll N=2e5;
using namespace std;
ll gcd(ll a,ll b){
	if(a==0){
		return b;
	}
	return b==0?a:gcd(b,a%b);
}
ll n,m;
map<pair<ll,ll>,ll> mp;
vector<pair<ll,ll> > v;
int main(){
	cin>>n;
	for(int i=1;i<=n;i++){
		ll a,b,c;
		bool _=0;
		cin>>a>>b>>c;
		if(b<0){
			_=!_;
			b=-b;
		}
		if(a<0){
			_=!_;
			a=-a;
		}
		ll g=gcd(a,b);
		a/=g;
		b/=g;
		if(_){
			a=-a;
		}
		if(!mp.count({a,b})){
			mp[{a,b}]=0;
			v.push_back({a,b});
		}
		mp[{a,b}]++;
	}
	__int128 ans=n*(n-1)/2*(n-2)/3%mod;
	for(auto i:v){
		__int128 x=mp[i];
		ans=((ans-x*(x-1)*(n-2)/2%mod+x*(x-1)*(x-2)/3%mod)%mod+mod)%mod;
	}
	cout<<(ll)ans;
	return 0;
}
//y=-a/b x-c/b

详细

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: 1ms
memory: 3304kb

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: 2ms
memory: 3324kb

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: 1ms
memory: 3280kb

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: 3272kb

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: 0ms
memory: 3468kb

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: 1ms
memory: 3188kb

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: 7ms
memory: 3440kb

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: 6ms
memory: 3392kb

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: 3516kb

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: 5ms
memory: 3560kb

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: 7ms
memory: 3392kb

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: 7ms
memory: 3560kb

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: 18ms
memory: 3560kb

input:

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

output:

484345046

result:

ok "484345046"

Test #14:

score: 0
Accepted
time: 304ms
memory: 7840kb

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: 17ms
memory: 3676kb

input:

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

output:

483275456

result:

ok "483275456"

Test #16:

score: 0
Accepted
time: 236ms
memory: 7740kb

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: 16ms
memory: 3624kb

input:

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

output:

481876198

result:

ok "481876198"

Test #18:

score: 0
Accepted
time: 267ms
memory: 7816kb

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: 16ms
memory: 3568kb

input:

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

output:

482006082

result:

ok "482006082"

Test #20:

score: 0
Accepted
time: 100ms
memory: 6048kb

input:

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

output:

815976874

result:

ok "815976874"