#include<stdio.h>
#include<memory.h>
#include<vector>
#define min2(a,b) ((a)>(b)?(b):(a))
#define mod 1000000007
using namespace std;
typedef long long lld;
struct conv {
lld ix, val, pv; // convert row, column, value, previous index
}im;
lld phi[1000002], top[1000002], cnt, n, se[11111][2], gap[11111], mx, gop=1, zcn, dap;
vector<conv> sun;
void make(lld ix){
lld i, j, a;
for(i=1; i*i<=se[ix][1]; i++){
im.ix=ix, a=i, im.val=se[ix][1]/i-se[ix][0]/i, im.pv=top[a];
top[a]=cnt++, sun.push_back(im);
}
j=se[ix][0]/i, i=se[ix][1]/i;
for(; i>=1;){ // 몫 = 3
if(j==0){
a=se[ix][1]/i;
im.ix=ix, im.val=se[ix][1]/a-se[ix][0]/a, im.pv=top[a];
i--;
}
else{
a=min2(se[ix][0]/j, se[ix][1]/i);
im.ix=ix, im.val=se[ix][1]/a-se[ix][0]/a, im.pv=top[a];
if(se[ix][0]/j == se[ix][1]/i)i--, j--;
else if(se[ix][0]/j > se[ix][1]/i)i--;
else j--;
}
top[a]=cnt++, sun.push_back(im);
}
}
lld pow(lld a, lld b){
lld v = a, ret = 1;
for (;b;b>>=1,v=v*v%mod) if(b&1) ret=ret*v%mod;
return ret;
}
int main(){
lld i, j, p, q;
scanf("%lld", &n), zcn=n;
memset(top, -1, sizeof(top));
for(i=0; i<n; i++){
scanf("%lld%lld", &se[i][0], &se[i][1]), se[i][0]--;
make(i);
if(se[i][1]>mx)mx=se[i][1];
}
phi[1]=1;
for(i=2; i<=mx; i++){
if(phi[i]==0){
phi[i]=i-1;
if(i>1000)continue;
for(j=i*i; j<=mx; j+=i)phi[j]=i;
}
else{
p=phi[i];
if(i%(p*p)==0)phi[i]=p*phi[i/p];
else phi[i]=(p-1)*phi[i/p];
}
}
for(i=mx; i>=1; i--){
for(j=top[i]; j>=0; j=sun[j].pv){
p=sun[j].ix, q=sun[j].val;
if(gap[p]==0)zcn--;
else gop=(gop*pow(gap[p],mod-2))%mod;
gap[p]=q;
if(q==0)zcn++;
else gop=(gop*q)%mod;
}
if(zcn==0){
dap+=gop*phi[i]%mod;
if(dap>=mod)dap-=mod;
}
}
printf("%lld", dap);
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
17096 KB |
Output is correct |
2 |
Correct |
0 ms |
17096 KB |
Output is correct |
3 |
Correct |
4 ms |
17096 KB |
Output is correct |
4 |
Correct |
0 ms |
17096 KB |
Output is correct |
5 |
Correct |
0 ms |
17096 KB |
Output is correct |
6 |
Correct |
0 ms |
17096 KB |
Output is correct |
7 |
Correct |
0 ms |
17096 KB |
Output is correct |
8 |
Correct |
0 ms |
17096 KB |
Output is correct |
9 |
Correct |
0 ms |
17096 KB |
Output is correct |
10 |
Correct |
4 ms |
17096 KB |
Output is correct |
11 |
Correct |
52 ms |
18252 KB |
Output is correct |
12 |
Correct |
52 ms |
18252 KB |
Output is correct |
13 |
Correct |
48 ms |
18252 KB |
Output is correct |
14 |
Correct |
48 ms |
18252 KB |
Output is correct |
15 |
Correct |
48 ms |
18252 KB |
Output is correct |
16 |
Correct |
4 ms |
17480 KB |
Output is correct |
17 |
Correct |
36 ms |
17676 KB |
Output is correct |
18 |
Correct |
48 ms |
18252 KB |
Output is correct |
19 |
Correct |
16 ms |
17676 KB |
Output is correct |
20 |
Correct |
24 ms |
17676 KB |
Output is correct |
21 |
Correct |
44 ms |
18252 KB |
Output is correct |
22 |
Correct |
56 ms |
18252 KB |
Output is correct |
23 |
Correct |
48 ms |
18252 KB |
Output is correct |
24 |
Correct |
52 ms |
18252 KB |
Output is correct |
25 |
Correct |
52 ms |
18252 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
17480 KB |
Output is correct |
2 |
Correct |
0 ms |
17480 KB |
Output is correct |
3 |
Correct |
0 ms |
17480 KB |
Output is correct |
4 |
Correct |
0 ms |
17480 KB |
Output is correct |
5 |
Correct |
4 ms |
17480 KB |
Output is correct |
6 |
Correct |
0 ms |
17480 KB |
Output is correct |
7 |
Correct |
0 ms |
17480 KB |
Output is correct |
8 |
Correct |
4 ms |
17480 KB |
Output is correct |
9 |
Correct |
4 ms |
17480 KB |
Output is correct |
10 |
Correct |
0 ms |
17480 KB |
Output is correct |
11 |
Correct |
756 ms |
90828 KB |
Output is correct |
12 |
Correct |
748 ms |
90828 KB |
Output is correct |
13 |
Correct |
760 ms |
90828 KB |
Output is correct |
14 |
Correct |
756 ms |
90828 KB |
Output is correct |
15 |
Correct |
764 ms |
90828 KB |
Output is correct |
16 |
Correct |
72 ms |
21708 KB |
Output is correct |
17 |
Correct |
92 ms |
26316 KB |
Output is correct |
18 |
Memory limit exceeded |
264 ms |
262144 KB |
Memory limit exceeded |
19 |
Halted |
0 ms |
0 KB |
- |