#include <bits/stdc++.h>
using namespace std;
#define X first
#define Y second
#define mp make_pair
#define pb push_back
typedef long long ll;
typedef pair <int, int> pii;
typedef pair <int, pii> pip;
typedef pair <pii, int> ppi;
typedef pair <ll, ll> pll;
const int INF=0x3f3f3f3f;
const int LOG=7;
const int N=1005;
const int MOD=1e9+7;
const int Q=1e5+5;
int add(int a, int b) {
a+=b;
if (a>=MOD) a-=MOD;
return a;
}
int mul(int a, int b) {
return (ll)a*b%MOD;
}
int n, q;
int p[N], pot[Q], uk1[N], uk2[N], isti[N], sweep[N];
vector <pii> vec[LOG], v[LOG][LOG];
vector <int> que[N];
#define DEBUG 0
int solve(int bit1, int bit2) {
int sol=0;
for (pii pp:vec[bit1]) uk1[pp.X]++, uk1[pp.Y+1]--;
for (pii pp:vec[bit2]) uk2[pp.X]++, uk2[pp.Y+1]--;
for (pii pp:v[bit1][bit2]) que[pp.X].pb(pp.Y);
for (int i=1; i<n; ++i) uk1[i]+=uk1[i-1], uk2[i]+=uk2[i-1];
for (int i=0; i<n; ++i) {
for (int j=i; j<n; ++j) sweep[j]=0;
for (int r:que[i]) sweep[r]++;
for (int j=n-1; j>=i; j--) {
sweep[j]+=sweep[j+1];
isti[j]+=sweep[j];
}
int curr_bit=!!(p[i] & (1<<bit1));
for (int j=i; j<n; ++j) {
int interi=mul(i+1, n-j);
int komb_i=curr_bit, komb_j=!!(p[j] & (1<<bit2));
int unija=uk1[i]+uk2[j]-isti[j];
int curr=1;
if (i!=j) interi=mul(interi, 2);
else if (bit1==bit2) {
curr=mul(pot[q-unija], isti[j] ? pot[isti[j]-1] : curr_bit);
sol=add(sol, mul(curr, interi));
#if DEBUG
printf("1. slucaj, curr: %d, interi: %d\n", curr, interi);
#endif
continue;
}
if (uk1[i]>isti[j]) {
komb_i=pot[uk1[i]-isti[j]-1];
if (uk2[j]>isti[j]) curr=mul(pot[isti[j]], mul(pot[uk2[j]-isti[j]-1], komb_i));
else curr=mul(isti[j] ? pot[isti[j]-1] : komb_j, komb_i);
}
else {
if (uk2[j]>isti[j]) curr=mul(isti[j] ? pot[isti[j]-1] : komb_i, pot[uk2[j]-isti[j]-1]);
else if (isti[j]) curr=mul(pot[isti[j]-1], !(komb_i^komb_j));
else curr=komb_i==komb_j && komb_i==1;
}
curr=mul(curr, pot[q-unija]);
#if DEBUG
printf("i: %d, j: %d, isti: %d\n", i, j, isti[j]);
printf("uk1: %d, uk2: %d, unija: %d, preostali: %d\n", uk1[i], uk2[j], unija, q-unija);
printf("interi: %d, curr: %d\n\n", interi, curr);
#endif
sol=add(sol, mul(curr, interi));
}
}
#if DEBUG
printf("bit1: %d, bit2: %d, sol == %d\n", bit1, bit2, sol);
#endif // DEBUG
return sol;
}
void reset() {
for (int i=0; i<n; ++i) que[i].clear();
memset(uk1, 0, sizeof uk1);
memset(uk2, 0, sizeof uk2);
memset(isti, 0, sizeof isti);
}
void load() {
scanf("%d", &n);
for (int i=0; i<n; ++i) scanf("%d", p+i);
scanf("%d", &q);
for (int i=0; i<q; ++i) {
int l, r, x;
scanf("%d %d %d", &l, &r, &x); l--; r--;
for (int i=0; i<LOG; ++i) {
if ((1<<i) & x) vec[i].pb(mp(l, r));
else continue;
for (int j=0; j<LOG; ++j) {
if ((1<<j) & x) v[i][j].pb(mp(l, r));
}
}
}
}
int main() {
load();
pot[0]=1;
for (int i=1; i<=q; ++i) pot[i]=mul(pot[i-1], 2);
int sol=0;
for (int i=0; i<LOG; ++i) {
for (int j=0; j<LOG; ++j) {
reset();
int br=mul((1<<i), (1<<j));
sol=add(sol, mul(solve(i, j), br));
}
}
printf("%d\n", sol);
return 0;
}
/*
2
3 1
2
2 2 2
1 2 0
2
1 1
1
1 2 3
*/
Compilation message
xorsum.cpp: In function 'void load()':
xorsum.cpp:107:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
107 | scanf("%d", &n);
| ~~~~~^~~~~~~~~~
xorsum.cpp:108:34: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
108 | for (int i=0; i<n; ++i) scanf("%d", p+i);
| ~~~~~^~~~~~~~~~~
xorsum.cpp:109:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
109 | scanf("%d", &q);
| ~~~~~^~~~~~~~~~
xorsum.cpp:112:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
112 | scanf("%d %d %d", &l, &r, &x); l--; r--;
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
# |
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 |
# |
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 |
6 ms |
364 KB |
Output is correct |
7 |
Correct |
5 ms |
364 KB |
Output is correct |
8 |
Correct |
5 ms |
364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
72 ms |
10000 KB |
Output is correct |
2 |
Correct |
14 ms |
1644 KB |
Output is correct |
3 |
Correct |
6 ms |
492 KB |
Output is correct |
4 |
Correct |
5 ms |
364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
463 ms |
620 KB |
Output is correct |
2 |
Correct |
437 ms |
512 KB |
Output is correct |
3 |
Correct |
405 ms |
492 KB |
Output is correct |
4 |
Correct |
398 ms |
492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
364 KB |
Output is correct |
2 |
Correct |
2 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
364 KB |
Output is correct |
2 |
Correct |
2 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
5 ms |
1004 KB |
Output is correct |
5 |
Correct |
5 ms |
1132 KB |
Output is correct |
6 |
Correct |
5 ms |
1004 KB |
Output is correct |
7 |
Correct |
5 ms |
1004 KB |
Output is correct |
# |
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 |
6 ms |
364 KB |
Output is correct |
7 |
Correct |
5 ms |
364 KB |
Output is correct |
8 |
Correct |
5 ms |
364 KB |
Output is correct |
9 |
Correct |
2 ms |
364 KB |
Output is correct |
10 |
Correct |
2 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
7 ms |
492 KB |
Output is correct |
13 |
Correct |
8 ms |
492 KB |
Output is correct |
14 |
Correct |
7 ms |
492 KB |
Output is correct |
15 |
Correct |
7 ms |
364 KB |
Output is correct |
# |
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 |
6 ms |
364 KB |
Output is correct |
7 |
Correct |
5 ms |
364 KB |
Output is correct |
8 |
Correct |
5 ms |
364 KB |
Output is correct |
9 |
Correct |
2 ms |
364 KB |
Output is correct |
10 |
Correct |
2 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
5 ms |
1004 KB |
Output is correct |
13 |
Correct |
5 ms |
1132 KB |
Output is correct |
14 |
Correct |
5 ms |
1004 KB |
Output is correct |
15 |
Correct |
5 ms |
1004 KB |
Output is correct |
16 |
Correct |
7 ms |
492 KB |
Output is correct |
17 |
Correct |
8 ms |
492 KB |
Output is correct |
18 |
Correct |
7 ms |
492 KB |
Output is correct |
19 |
Correct |
7 ms |
364 KB |
Output is correct |
20 |
Correct |
234 ms |
17000 KB |
Output is correct |
21 |
Correct |
246 ms |
16772 KB |
Output is correct |
22 |
Correct |
172 ms |
3244 KB |
Output is correct |
# |
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 |
6 ms |
364 KB |
Output is correct |
7 |
Correct |
5 ms |
364 KB |
Output is correct |
8 |
Correct |
5 ms |
364 KB |
Output is correct |
9 |
Correct |
72 ms |
10000 KB |
Output is correct |
10 |
Correct |
14 ms |
1644 KB |
Output is correct |
11 |
Correct |
6 ms |
492 KB |
Output is correct |
12 |
Correct |
5 ms |
364 KB |
Output is correct |
13 |
Correct |
463 ms |
620 KB |
Output is correct |
14 |
Correct |
437 ms |
512 KB |
Output is correct |
15 |
Correct |
405 ms |
492 KB |
Output is correct |
16 |
Correct |
398 ms |
492 KB |
Output is correct |
17 |
Correct |
2 ms |
364 KB |
Output is correct |
18 |
Correct |
2 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
5 ms |
1004 KB |
Output is correct |
21 |
Correct |
5 ms |
1132 KB |
Output is correct |
22 |
Correct |
5 ms |
1004 KB |
Output is correct |
23 |
Correct |
5 ms |
1004 KB |
Output is correct |
24 |
Correct |
7 ms |
492 KB |
Output is correct |
25 |
Correct |
8 ms |
492 KB |
Output is correct |
26 |
Correct |
7 ms |
492 KB |
Output is correct |
27 |
Correct |
7 ms |
364 KB |
Output is correct |
28 |
Correct |
234 ms |
17000 KB |
Output is correct |
29 |
Correct |
246 ms |
16772 KB |
Output is correct |
30 |
Correct |
172 ms |
3244 KB |
Output is correct |
31 |
Correct |
647 ms |
16548 KB |
Output is correct |
32 |
Correct |
622 ms |
16900 KB |
Output is correct |
33 |
Correct |
564 ms |
3052 KB |
Output is correct |
34 |
Correct |
575 ms |
13328 KB |
Output is correct |
35 |
Correct |
582 ms |
13444 KB |
Output is correct |
36 |
Correct |
580 ms |
13068 KB |
Output is correct |