CSES - Putka Open 2020 – 4/5 - Results
Submission details
Task:Tekijät
Sender:jnalanko
Submission time:2020-11-08 22:43:16 +0200
Language:C++ (C++17)
Status:READY
Result:100
Feedback
groupverdictscore
#1ACCEPTED12
#2ACCEPTED35
#3ACCEPTED53
Test results
testverdicttimegroup
#1ACCEPTED0.01 s1, 2, 3details
#2ACCEPTED0.01 s1, 2, 3details
#3ACCEPTED0.03 s2, 3details
#4ACCEPTED0.07 s3details
#5ACCEPTED0.58 s3details
#6ACCEPTED0.39 s3details
#7ACCEPTED0.54 s3details

Code

#include <iostream>
#include <vector>
#include <map>
//#include "stdlib_printing.hh"
typedef int32_t LL;
using namespace std;
int main(){
LL n; cin >> n;
vector<LL> v(n);
vector<LL> vcounts(1e6+1);
LL xmax = 0;
for(LL i = 0; i < n; i++){
cin >> v[i];
xmax = max(xmax, v[i]);
vcounts[v[i]]++;
}
vector<bool> isprime(xmax+1,true); isprime[0] = false; isprime[1] = false;
vector<vector<LL> > PD(xmax+1); // C[i] = Distinct prime divisors of i
// vector<vector<LL> > D(xmax+1); // D[i] = Divisors of i
vector<LL> C(xmax+1); // C[i] = Number of items in the input that are divisible by i
for(LL d = 2; d <= xmax; d++){
for(LL k = 1; d*k <= xmax; k++){
// D[d*k].push_back(d);
if(isprime[d]) PD[d*k].push_back(d);
if(k > 1) isprime[k*d] = false;
C[d] += vcounts[d*k];
}
}
/*
for(LL x : v){
for(LL d : D[x]) C[d]++;
}*/
long long ans = 0;
for(LL x : v){
if(x == 1){
ans += n-1;
continue;
}
LL m = PD[x].size();
LL howmany = 0;
for(LL mask = 1; mask < (1LL << m); mask++){
LL ones = __builtin_popcount(mask);
LL sign = ones % 2 == 1 ? 1 : -1;
LL d = 1;
for(LL i = 0; i < m; i++){
if(mask & (1LL << i)) d *= PD[x][i];
}
howmany += sign * C[d];
}
ans += n - howmany;
}
cout << ans/2 << endl; // Divide by two because we report unordered pairs
//cout << isprime << endl;
//cout << PD << endl;
//cout << D << endl;
//cout << C << endl;
}

Test details

Test 1

Group: 1, 2, 3

Verdict: ACCEPTED

input
100
1 2 3 4 5 6 7 8 9 10 11 12 13 ...

correct output
3043

user output
3043

Test 2

Group: 1, 2, 3

Verdict: ACCEPTED

input
100
71 19 26 18 57 78 80 89 31 26 ...

correct output
3086

user output
3086

Test 3

Group: 2, 3

Verdict: ACCEPTED

input
100000
66 87 90 67 93 89 57 29 34 4 8...

correct output
3044751906

user output
3044751906

Test 4

Group: 3

Verdict: ACCEPTED

input
100000
1 2 3 4 5 6 7 8 9 10 11 12 13 ...

correct output
3039650753

user output
3039650753

Test 5

Group: 3

Verdict: ACCEPTED

input
100000
238907 151373 522599 885657 37...

correct output
3031155756

user output
3031155756

Test 6

Group: 3

Verdict: ACCEPTED

input
100000
510510 510510 510510 510510 51...

correct output
0

user output
0

Test 7

Group: 3

Verdict: ACCEPTED

input
100000
999983 999983 999983 999983 99...

correct output
0

user output
0