#include <bits/stdc++.h>
#define pb push_back
#define ff first
#define ss second
#define M 1000001
typedef long long ll;
const int p=53;
const long long MOD=1000000007;
using namespace std;
ll a[M],b[M],c[M],d[M],n;
ll pow2[M];
ll power(ll a,ll b){
ll res=1;
while(b>0){
if(b&1){
res=res*a;
if(res>=MOD) res%=MOD;
}
b>>=1;
a=a*a;
if(a>=MOD) a%=MOD;
}
return res;
}
ll turn(ll k){
return (k+10*MOD)%MOD;
}
ll suma,sumb,sumgiven;
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n;
pow2[0]=1;
for(int i=1;i<=n;i++){
pow2[i]=pow2[i-1]*2;
if(pow2[i]>=MOD) pow2[i]%=MOD;
}
for(int i=0;i<n;i++){
cin >> a[i] >> b[i];
suma+=a[i];
sumb+=b[i];
c[i]=a[i]-b[i];
}
long long res=0;
for(int i=1;i<n;i++){
res+=((turn(c[i])*pow2[i-1])%MOD);
if(res>=MOD) res%=MOD;
}
bool f=0;
res+=((c[0]*pow2[n-1])%MOD);
if(res>=MOD) res%=MOD;
res=res*power(pow2[n]-1,MOD-2);
if(res>=MOD) res%=MOD;
d[0]=res;
sumgiven=d[0];
for(int i=1;i<n;i++){
ll e=c[i]+d[i-1];
if(e&1){
cout << "No";
return 0;
}
d[i]=e/2;
sumgiven+=(d[i]);
if(d[i]<0){
cout << "No";
return 0;
}
if(d[i-1]+a[i]<2*d[i]){
cout << "No";
return 0;
}
if(a[i]>=2*d[i]) f=1;
}
if(d[n-1]+a[0]<2*d[0]){
cout << "No";
return 0;
}
if(c[0]-2*d[0]+d[n-1]!=0){
cout << "No";
return 0;
}
if(sumgiven+sumb!=suma){
cout << "No";
return 0;
}
if(f==0){
cout << "No";
return 0;
}
for(int i=0;i<n;i++){
ll e=a[i]/2;
e=min(e,d[i]);
a[i]-=(2*e);
d[i]-=e;
if(i==(n-1)) a[0]+=e;
else a[i+1]+=e;
}
for(int i=0;i<n;i++){
ll e=a[i]/2;
e=min(e,d[i]);
a[i]-=(2*e);
d[i]-=e;
if(i==(n-1)) a[0]+=e;
else a[i+1]+=e;
}
for(int i=0;i<n;i++){
if(a[i]!=b[i]){
cout << "No";
return 0;
}
}
cout << "Yes";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
364 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
25 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
364 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
25 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
364 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Incorrect |
1 ms |
364 KB |
Output isn't correct |
25 |
Halted |
0 ms |
0 KB |
- |