#include <bits/stdc++.h>
using namespace std;
const int mod = 1e9+7, len = 1e5+5;
int arr[len];
char str[len];
int n, q;
int add(int a, int b){
return (a+b)%mod;
}
int sub(int a, int b){
return (mod+a-b)%mod;
}
int mul(int a, int b){
return (a*1LL*b)%mod;
}
struct node{
int sm, sm3, sm1, sm31;
int eq, eq3, eq1, eq31;
int al, al3, al1, al31;
node(){}
node(int d){
sm = d;
sm3 = (d > 3);
sm1 = (d > 1);
sm31 = 0;
eq = 1;
eq3 = (d == 3);
eq1 = (d == 1);
eq31 = 0;
al = 10;
al3 = 1;
al1 = 1;
al31 = 0;
}
void print(){
printf("--- node ---\n");
printf("sm = %d\neq = %d\nal = %d\n", sm, eq, al);
printf("------------\n");
}
} tree[4*len];
node join(node lef, node rig){
node res;
res.eq = sub(mul(lef.eq, rig.eq), mul(lef.eq1, rig.eq3));
res.eq3 = sub(mul(lef.eq3, rig.eq), mul(lef.eq31, rig.eq3));
res.eq1 = sub(mul(lef.eq, rig.eq1), mul(lef.eq1, rig.eq31));
res.eq31 = sub(mul(lef.eq3, rig.eq1), mul(lef.eq31, rig.eq31));
res.al = sub(mul(lef.al, rig.al), mul(lef.al1, rig.al3));
res.al3 = sub(mul(lef.al3, rig.al), mul(lef.al31, rig.al3));
res.al1 = sub(mul(lef.al, rig.al1), mul(lef.al1, rig.al31));
res.al31 = sub(mul(lef.al3, rig.al1), mul(lef.al31, rig.al31));
res.sm = add(sub(mul(lef.sm, rig.al), mul(lef.sm1, rig.al3)),
sub(mul(lef.eq, rig.sm), mul(lef.eq1, rig.sm3)));
res.sm3 = add(sub(mul(lef.sm3, rig.al), mul(lef.sm31, rig.al3)),
sub(mul(lef.eq3, rig.sm), mul(lef.eq31, rig.sm3)));
res.sm1 = add(sub(mul(lef.sm, rig.al1), mul(lef.sm1, rig.al31)),
sub(mul(lef.eq, rig.sm1), mul(lef.eq1, rig.sm31)));
res.sm31 = add(sub(mul(lef.sm3, rig.al1), mul(lef.sm31, rig.al31)),
sub(mul(lef.eq3, rig.sm1), mul(lef.eq31, rig.sm31)));
return res;
}
void build(int p, int l, int r){
if (l == r)
return void(tree[p] = node(arr[l]));
int mid = (l+r)/2;
build(2*p, l, mid);
build(2*p+1, mid+1, r);
tree[p] = join(tree[2*p], tree[2*p+1]);
//printf("l = %d, r = %d\n", l, r), tree[p].print();
}
void update(int p, int l, int r, int i, int v){
if (l == r)
return void(tree[p] = node(v));
int mid = (l+r)/2;
if (i <= mid)
update(2*p, l, mid, i, v);
else
update(2*p+1, mid+1, r, i, v);
tree[p] = join(tree[2*p], tree[2*p+1]);
}
node ask(int p, int l, int r, int i, int j){
if (i <= l && r <= j)
return tree[p];
int mid = (l+r)/2;
if (j <= mid)
return ask(2*p, l, mid, i, j);
if (i > mid)
return ask(2*p+1, mid+1, r, i, j);
return join(ask(2*p, l, mid, i, j), ask(2*p+1, mid+1, r, i, j));
}
int query(int i, int j){
node cur = ask(1, 1, n, i, j);
return add(cur.sm, cur.eq);
}
int main(){
scanf("%d %d", &n, &q);
scanf("%s", str);
for (int i = 1; i <= n; i++)
arr[i] = str[i-1] - '0';
build(1, 1, n);
printf("%d\n", query(1, n));
while (q--){
int t, i, j;
scanf("%d %d %d", &t, &i, &j);
if (t == 2)
update(1, 1, n, i, j);
else
printf("%d\n", query(i, j));
}
return 0;
}
Compilation message
lucky.cpp: In function 'int main()':
lucky.cpp:122:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
122 | scanf("%d %d", &n, &q);
| ~~~~~^~~~~~~~~~~~~~~~~
lucky.cpp:123:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
123 | scanf("%s", str);
| ~~~~~^~~~~~~~~~~
lucky.cpp:132:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
132 | scanf("%d %d %d", &t, &i, &j);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
# |
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 |
# |
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 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
16 ms |
1388 KB |
Output is correct |
2 |
Correct |
20 ms |
2156 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
16 ms |
1388 KB |
Output is correct |
2 |
Correct |
20 ms |
2156 KB |
Output is correct |
3 |
Correct |
42 ms |
13292 KB |
Output is correct |
4 |
Correct |
45 ms |
13292 KB |
Output is correct |
5 |
Correct |
40 ms |
13420 KB |
Output is correct |
6 |
Correct |
55 ms |
13420 KB |
Output is correct |
7 |
Correct |
45 ms |
13548 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 |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
16 ms |
1388 KB |
Output is correct |
8 |
Correct |
20 ms |
2156 KB |
Output is correct |
9 |
Correct |
19 ms |
1260 KB |
Output is correct |
10 |
Correct |
20 ms |
2156 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 |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
16 ms |
1388 KB |
Output is correct |
8 |
Correct |
20 ms |
2156 KB |
Output is correct |
9 |
Correct |
42 ms |
13292 KB |
Output is correct |
10 |
Correct |
45 ms |
13292 KB |
Output is correct |
11 |
Correct |
40 ms |
13420 KB |
Output is correct |
12 |
Correct |
55 ms |
13420 KB |
Output is correct |
13 |
Correct |
45 ms |
13548 KB |
Output is correct |
14 |
Correct |
19 ms |
1260 KB |
Output is correct |
15 |
Correct |
20 ms |
2156 KB |
Output is correct |
16 |
Correct |
37 ms |
13292 KB |
Output is correct |
17 |
Correct |
40 ms |
13304 KB |
Output is correct |
18 |
Correct |
41 ms |
13292 KB |
Output is correct |
19 |
Correct |
46 ms |
13420 KB |
Output is correct |
20 |
Correct |
45 ms |
13420 KB |
Output is correct |