#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
//#include<bits/extc++.h>
//__gnu_pbds
const int MOD = 1e9+7;
const int N = 1e5+5;
int p2[N];
inline int mul(const int &a,const int &b){
return (1LL*a*b)%MOD;
}
int main(){
ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
int n;cin>>n;
vector<int> a(n+1);
for(int i=1;i<=n;i++) cin>>a[i];
int q;cin>>q;
vector<tuple<int,int,int> > Q(q);
for(int i=0;i<q;i++){
cin>>get<0>(Q[i])>>get<1>(Q[i])>>get<2>(Q[i]);
}
p2[0]=1;
for(int i=1;i<=max(q,100);i++) p2[i] = (2LL*p2[i-1])%MOD;
ll ans = 0;
for(int b1=0;b1<7;b1++){for(int b2=0;b2<7;b2++){
vector<int> cnt1(n+2,0);
vector<int> cnt2(n+2,0);
vector<vector<int> > both(n+2,vector<int>(n+2,0));
for(auto &[l,r,x] : Q){
if((x>>b1)&1) cnt1[l]++,cnt1[r+1]--;
if((x>>b2)&1) cnt2[l]++,cnt2[r+1]--;
if(((x>>b1)&1) & ((x>>b2)&1)){
both[l][l]++;both[l][r+1]--;
both[r+1][l]--;both[r+1][r+1]++;
}
}
for(int i=1;i<=n;i++){
cnt1[i]+=cnt1[i-1];
cnt2[i]+=cnt2[i-1];
}
for(int i=0;i<=n;i++) {
for(int j=1;j<=n;j++) both[i][j]+=both[i][j-1];
}
for(int j=0;j<=n;j++){
for(int i=1;i<=n;i++) both[i][j]+=both[i-1][j];
}
for(int l=1;l<=n;l++){
for(int r=1;r<=n;r++){
int bO = (both[l][r]==0)?(0):(p2[both[l][r]-1]);
int bE = (both[l][r]==0)?(1):(p2[both[l][r]-1]);
int o1 = (cnt1[l]-both[l][r]==0)?(0):(p2[cnt1[l]-both[l][r]-1]);
int e1 = (cnt1[l]-both[l][r]==0)?(1):(p2[cnt1[l]-both[l][r]-1]);
int o2 = (cnt2[r]-both[l][r]==0)?(0):(p2[cnt2[r]-both[l][r]-1]);
int e2 = (cnt2[r]-both[l][r]==0)?(1):(p2[cnt2[r]-both[l][r]-1]);
if((a[l]>>b1)&1) swap(o1,e1);
if((a[r]>>b2)&1) swap(o2,e2);
ll v = (mul(bO,mul(e1,e2))+mul(bE,mul(o1,o2)))%MOD;
v = (v*p2[q-cnt1[l]-cnt2[r]+both[l][r]])%MOD;
v = mul(v,mul(min(l,r),(n-max(l,r)+1)));
v = mul(v,p2[b1+b2]);
ans = (ans+v)%MOD;
}
}
}}
cout<<ans<<"\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
13 ms |
504 KB |
Output is correct |
7 |
Correct |
12 ms |
512 KB |
Output is correct |
8 |
Correct |
12 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
66 ms |
2736 KB |
Output is correct |
2 |
Correct |
19 ms |
728 KB |
Output is correct |
3 |
Correct |
13 ms |
348 KB |
Output is correct |
4 |
Correct |
12 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1282 ms |
4656 KB |
Output is correct |
2 |
Correct |
1258 ms |
4740 KB |
Output is correct |
3 |
Correct |
1270 ms |
4676 KB |
Output is correct |
4 |
Correct |
1228 ms |
5012 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
2 ms |
348 KB |
Output is correct |
4 |
Correct |
4 ms |
348 KB |
Output is correct |
5 |
Correct |
4 ms |
348 KB |
Output is correct |
6 |
Correct |
4 ms |
348 KB |
Output is correct |
7 |
Correct |
4 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
13 ms |
504 KB |
Output is correct |
7 |
Correct |
12 ms |
512 KB |
Output is correct |
8 |
Correct |
12 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
2 ms |
348 KB |
Output is correct |
12 |
Correct |
13 ms |
348 KB |
Output is correct |
13 |
Correct |
13 ms |
348 KB |
Output is correct |
14 |
Correct |
13 ms |
512 KB |
Output is correct |
15 |
Correct |
13 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
13 ms |
504 KB |
Output is correct |
7 |
Correct |
12 ms |
512 KB |
Output is correct |
8 |
Correct |
12 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
2 ms |
348 KB |
Output is correct |
12 |
Correct |
4 ms |
348 KB |
Output is correct |
13 |
Correct |
4 ms |
348 KB |
Output is correct |
14 |
Correct |
4 ms |
348 KB |
Output is correct |
15 |
Correct |
4 ms |
348 KB |
Output is correct |
16 |
Correct |
13 ms |
348 KB |
Output is correct |
17 |
Correct |
13 ms |
348 KB |
Output is correct |
18 |
Correct |
13 ms |
512 KB |
Output is correct |
19 |
Correct |
13 ms |
348 KB |
Output is correct |
20 |
Correct |
395 ms |
4092 KB |
Output is correct |
21 |
Correct |
390 ms |
4116 KB |
Output is correct |
22 |
Correct |
357 ms |
3984 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
13 ms |
504 KB |
Output is correct |
7 |
Correct |
12 ms |
512 KB |
Output is correct |
8 |
Correct |
12 ms |
348 KB |
Output is correct |
9 |
Correct |
66 ms |
2736 KB |
Output is correct |
10 |
Correct |
19 ms |
728 KB |
Output is correct |
11 |
Correct |
13 ms |
348 KB |
Output is correct |
12 |
Correct |
12 ms |
344 KB |
Output is correct |
13 |
Correct |
1282 ms |
4656 KB |
Output is correct |
14 |
Correct |
1258 ms |
4740 KB |
Output is correct |
15 |
Correct |
1270 ms |
4676 KB |
Output is correct |
16 |
Correct |
1228 ms |
5012 KB |
Output is correct |
17 |
Correct |
2 ms |
344 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
2 ms |
348 KB |
Output is correct |
20 |
Correct |
4 ms |
348 KB |
Output is correct |
21 |
Correct |
4 ms |
348 KB |
Output is correct |
22 |
Correct |
4 ms |
348 KB |
Output is correct |
23 |
Correct |
4 ms |
348 KB |
Output is correct |
24 |
Correct |
13 ms |
348 KB |
Output is correct |
25 |
Correct |
13 ms |
348 KB |
Output is correct |
26 |
Correct |
13 ms |
512 KB |
Output is correct |
27 |
Correct |
13 ms |
348 KB |
Output is correct |
28 |
Correct |
395 ms |
4092 KB |
Output is correct |
29 |
Correct |
390 ms |
4116 KB |
Output is correct |
30 |
Correct |
357 ms |
3984 KB |
Output is correct |
31 |
Correct |
1376 ms |
7064 KB |
Output is correct |
32 |
Correct |
1353 ms |
7700 KB |
Output is correct |
33 |
Correct |
1322 ms |
7172 KB |
Output is correct |
34 |
Correct |
1431 ms |
7016 KB |
Output is correct |
35 |
Correct |
1376 ms |
7496 KB |
Output is correct |
36 |
Correct |
1386 ms |
7508 KB |
Output is correct |