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#542#117. 【0621 模拟赛】TROKUTIlxn100875ms7160kbC++141012b2025-06-20 16:42:232025-06-21 23:21:05

answer

/*
容斥
总数-三条边平行-两条边平行
map统计每个斜率的条数。 
无重合,不用管c 
*/
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll mod = (int)1e9 + 7;
const int N = 3e5+9;
ll n,x,y,z,a[N], b[N];
map<pair<ll,ll>,ll>mp;
ll C3(ll x) {
    return x * (x - 1) / 2* (x - 2) / 3%mod;
}
ll gcd(ll a, ll b) {
    return b ? gcd(b, a % b) : a;
}


int main() {
    cin>>n;
    for (int i = 1; i <= n; ++i) {
        cin>>x>>y>>z; 
        
        if (x == 0)y=1;
        else if (y== 0)x = 2e9;
        else {
            ll d = gcd(x, y);
            x /= d;
            y /= d;
   		 }
        ++mp[ make_pair(x,y)];
    }

    ll ans = C3(n);
    for (auto it : mp) {
        ll cnt = it.second;
        if (cnt >= 2)
            ans -= cnt*(cnt-1)/2* (n - cnt) ;
        if (cnt >= 3)
            ans -= C3(cnt) ;
       // ans%= mod;
    }
    ans%=mod;
    ans=(ans+mod)%mod;
	cout<<ans<<"\n";
    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: 1ms
memory: 3232kb

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: 0ms
memory: 3384kb

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: 3288kb

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: 0ms
memory: 3448kb

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: 2ms
memory: 3448kb

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: 3376kb

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: 3564kb

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: 3464kb

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: 6ms
memory: 3424kb

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: 6ms
memory: 3464kb

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: 3304kb

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: 5ms
memory: 3424kb

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: 17ms
memory: 3552kb

input:

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

output:

484345046

result:

ok "484345046"

Test #14:

score: 0
Accepted
time: 260ms
memory: 6936kb

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: 14ms
memory: 3304kb

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: 7160kb

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: 3556kb

input:

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

output:

481876198

result:

ok "481876198"

Test #18:

score: 0
Accepted
time: 225ms
memory: 6880kb

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: 17ms
memory: 3252kb

input:

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

output:

482006082

result:

ok "482006082"

Test #20:

score: 0
Accepted
time: 80ms
memory: 5392kb

input:

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

output:

815976874

result:

ok "815976874"