#include<bits/stdc++.h>
#define f first
#define s second
#define pii pair<int,int>
#define ll long long
using namespace std;
const int N = 1e3 + 5, M = 1e5 + 5, mod = 1e9 + 7; // !
int a[N],n,Q,ch[M][2],pwr[M],dp[N][N],p[5][N];
vector<pair<pii,int> > all;
int choose(int x,int t) {
return ch[x][t];
}
main(){
ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0);
cin >> n;
for(int i = 1; i <= n; i++) cin >> a[i];
cin >> Q;
for(int j = 1; j <= Q; j++) {
int l,r,x;
cin >> l >> r >> x;
all.push_back({{l,r},x});
}
ch[0][0] = 1;
pwr[0] = 1;
for(int i = 1; i <= Q; i++) {
for(int t = 0; t < 2; t++){
ch[i][t] = ch[i - 1][t] + ch[i - 1][1 - t];
ch[i][t] %= mod;
}
pwr[i] = pwr[i - 1] * 2 % mod;
}
int ans = 0;
for(int t1 = 0; t1 < 8; t1++) {
for(int t2 = 0; t2 < 8; t2++) {
for(int t = 0; t < 3; t++)
for(int i = 1; i <= n; i++) {
p[t][i] = 0;
for(int j = 1; j <= n; j++) dp[i][j] = 0;
}
for(int i = 0; i < Q; i++){
int l = all[i].f.f, r = all[i].f.s, x = all[i].s;
if((x & (1 << t1)) && (x & (1 << t2))) {
dp[l][r]++;
p[2][l]++;
p[2][r + 1]--;
}
else if(x & (1 << t1)) p[0][l]++, p[0][r + 1]--;
else if(x & (1 << t2)) p[1][l]++, p[1][r + 1]--;
}
for(int l = 1; l <= n; l++) {
for(int r = n; r >= l; r--) dp[l][r] += dp[l - 1][r] + dp[l][r + 1] - dp[l - 1][r + 1];
}
for(int t = 0; t < 3; t++)
for(int i = 1; i <= n; i++) {
p[t][i] += p[t][i - 1];
}
for(int l = 1; l <= n; l++) {
for(int r = l; r <= n; r++) {
int b1 =( (1 << t1) & a[l] ) > 0;
int b2 = ( (1 << t2) & a[r] ) > 0;
int P = (ll)(1 << t1) % mod * (1 << t2) % mod
* l % mod * (n - r + 1) % mod* pwr[Q - p[0][l] - p[1][r] - p[2][l] - p[2][r] + dp[l][r] ] % mod;
if(l < r) P *= 2;
P %= mod;
for(int x1 = 0; x1 < 2; x1++){
for(int x2 = 0; x2 < 2; x2++) {
int x3 = 1 ^ x1 ^ b1;
if(x3 ^ x2 ^ b2) {
ans += (ll)choose(p[0][l] + p[2][l] - dp[l][r],x1)% mod * choose(p[1][r] + p[2][r] - dp[l][r],x2) % mod * choose(dp[l][r],x3)% mod * P %mod;
ans %= mod;
}
}
}
}
}
}
}
cout << ans;
}
Compilation message
xorsum.cpp:13:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
13 | main(){
| ^~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
17 ms |
732 KB |
Output is correct |
7 |
Correct |
18 ms |
736 KB |
Output is correct |
8 |
Correct |
18 ms |
736 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
90 ms |
3176 KB |
Output is correct |
2 |
Correct |
24 ms |
1036 KB |
Output is correct |
3 |
Correct |
18 ms |
760 KB |
Output is correct |
4 |
Correct |
17 ms |
740 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1660 ms |
4280 KB |
Output is correct |
2 |
Correct |
1652 ms |
4292 KB |
Output is correct |
3 |
Correct |
1645 ms |
4264 KB |
Output is correct |
4 |
Correct |
1659 ms |
4260 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
332 KB |
Output is correct |
2 |
Correct |
2 ms |
460 KB |
Output is correct |
3 |
Correct |
2 ms |
460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
332 KB |
Output is correct |
2 |
Correct |
2 ms |
460 KB |
Output is correct |
3 |
Correct |
2 ms |
460 KB |
Output is correct |
4 |
Correct |
6 ms |
680 KB |
Output is correct |
5 |
Correct |
6 ms |
624 KB |
Output is correct |
6 |
Correct |
6 ms |
588 KB |
Output is correct |
7 |
Correct |
6 ms |
588 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
17 ms |
732 KB |
Output is correct |
7 |
Correct |
18 ms |
736 KB |
Output is correct |
8 |
Correct |
18 ms |
736 KB |
Output is correct |
9 |
Correct |
2 ms |
332 KB |
Output is correct |
10 |
Correct |
2 ms |
460 KB |
Output is correct |
11 |
Correct |
2 ms |
460 KB |
Output is correct |
12 |
Correct |
18 ms |
752 KB |
Output is correct |
13 |
Correct |
18 ms |
752 KB |
Output is correct |
14 |
Correct |
18 ms |
756 KB |
Output is correct |
15 |
Correct |
17 ms |
748 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
17 ms |
732 KB |
Output is correct |
7 |
Correct |
18 ms |
736 KB |
Output is correct |
8 |
Correct |
18 ms |
736 KB |
Output is correct |
9 |
Correct |
2 ms |
332 KB |
Output is correct |
10 |
Correct |
2 ms |
460 KB |
Output is correct |
11 |
Correct |
2 ms |
460 KB |
Output is correct |
12 |
Correct |
6 ms |
680 KB |
Output is correct |
13 |
Correct |
6 ms |
624 KB |
Output is correct |
14 |
Correct |
6 ms |
588 KB |
Output is correct |
15 |
Correct |
6 ms |
588 KB |
Output is correct |
16 |
Correct |
18 ms |
752 KB |
Output is correct |
17 |
Correct |
18 ms |
752 KB |
Output is correct |
18 |
Correct |
18 ms |
756 KB |
Output is correct |
19 |
Correct |
17 ms |
748 KB |
Output is correct |
20 |
Correct |
533 ms |
4712 KB |
Output is correct |
21 |
Correct |
516 ms |
4664 KB |
Output is correct |
22 |
Correct |
470 ms |
4660 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
17 ms |
732 KB |
Output is correct |
7 |
Correct |
18 ms |
736 KB |
Output is correct |
8 |
Correct |
18 ms |
736 KB |
Output is correct |
9 |
Correct |
90 ms |
3176 KB |
Output is correct |
10 |
Correct |
24 ms |
1036 KB |
Output is correct |
11 |
Correct |
18 ms |
760 KB |
Output is correct |
12 |
Correct |
17 ms |
740 KB |
Output is correct |
13 |
Correct |
1660 ms |
4280 KB |
Output is correct |
14 |
Correct |
1652 ms |
4292 KB |
Output is correct |
15 |
Correct |
1645 ms |
4264 KB |
Output is correct |
16 |
Correct |
1659 ms |
4260 KB |
Output is correct |
17 |
Correct |
2 ms |
332 KB |
Output is correct |
18 |
Correct |
2 ms |
460 KB |
Output is correct |
19 |
Correct |
2 ms |
460 KB |
Output is correct |
20 |
Correct |
6 ms |
680 KB |
Output is correct |
21 |
Correct |
6 ms |
624 KB |
Output is correct |
22 |
Correct |
6 ms |
588 KB |
Output is correct |
23 |
Correct |
6 ms |
588 KB |
Output is correct |
24 |
Correct |
18 ms |
752 KB |
Output is correct |
25 |
Correct |
18 ms |
752 KB |
Output is correct |
26 |
Correct |
18 ms |
756 KB |
Output is correct |
27 |
Correct |
17 ms |
748 KB |
Output is correct |
28 |
Correct |
533 ms |
4712 KB |
Output is correct |
29 |
Correct |
516 ms |
4664 KB |
Output is correct |
30 |
Correct |
470 ms |
4660 KB |
Output is correct |
31 |
Correct |
1787 ms |
6672 KB |
Output is correct |
32 |
Correct |
1732 ms |
7752 KB |
Output is correct |
33 |
Correct |
1718 ms |
7608 KB |
Output is correct |
34 |
Correct |
1757 ms |
7600 KB |
Output is correct |
35 |
Correct |
1783 ms |
7636 KB |
Output is correct |
36 |
Correct |
1767 ms |
7636 KB |
Output is correct |