#include <iostream>
#include <fstream>
#include <iomanip>
#include <vector>
#include <set>
#include <map>
#include <cstring>
#include <string>
#include <cmath>
#include <cassert>
#include <ctime>
#include <algorithm>
#include <sstream>
#include <list>
#include <queue>
#include <deque>
#include <stack>
#include <cstdlib>
#include <cstdio>
#include <iterator>
#include <functional>
#include <unordered_set>
#include <unordered_map>
#include <stdio.h>
#include <bitset>
#include <cstdint>
#include <cassert>
#include <functional>
#include <complex>
#include <random>
using namespace std;
#define ll long long
#define pb push_back
#define mp make_pair
#define f first
#define s second
#define ld long double
const ll maxn = 1e5 + 1, maxm = 1e4 + 1;
const ll mod = 1e9 + 7, cmod = 998244353, inf = 1e9, block = 5000, p2 = 31, bit = 30;
const ld eps = 1e-9;
int n, q;
string s;
struct node{
int s[2][2];
int e[2][2];
int b[2][2];
node(){
for (int i = 0; i < 2; ++i){
for (int j = 0; j < 2; ++j){
s[i][j] = 0;
e[i][j] = 0;
b[i][j] = 0;
}
}
}
} t[maxn * 4];
node merge(node lx, node rx){
node cur;
for (int i = 0; i < 2; ++i){
for (int j = 0; j < 2; ++j){
cur.s[i][j] = 0;
cur.e[i][j] = 0;
cur.b[i][j] = 0;
}
}
for (int i = 0; i < 2; ++i){
for (int j = 0; j < 2; ++j){
for (int jj = 0; jj < 2; ++jj){
for (int k = 0; k < 2; ++k){
if (!(j == 1 && jj == 1)){
cur.s[i][k] = (cur.s[i][k] + lx.s[i][j] * rx.s[jj][k] % mod) % mod;
cur.s[i][k] = (cur.s[i][k] + lx.s[i][j] * rx.e[jj][k] % mod) % mod;
cur.s[i][k] = (cur.s[i][k] + lx.s[i][j] * rx.b[jj][k] % mod) % mod;
cur.s[i][k] = (cur.s[i][k] + lx.e[i][j] * rx.s[jj][k] % mod) % mod;
cur.e[i][k] = (cur.e[i][k] + lx.e[i][j] * rx.e[jj][k] % mod) % mod;
cur.b[i][k] = (cur.b[i][k] + lx.e[i][j] * rx.b[jj][k] % mod) % mod;
cur.b[i][k] = (cur.b[i][k] + lx.b[i][j] * rx.e[jj][k] % mod) % mod;
cur.b[i][k] = (cur.b[i][k] + lx.b[i][j] * rx.s[jj][k] % mod) % mod;
cur.b[i][k] = (cur.b[i][k] + lx.b[i][j] * rx.b[jj][k] % mod ) % mod;
}
}
}
}
}
return cur;
}
void build(int v = 1, int tl = 1, int tr = n){
if (tl == tr){
for (int i = 0; i < 2; ++i){
for (int j = 0; j < 2; ++j){
t[v].s[i][j] = 0;
t[v].e[i][j] = 0;
t[v].b[i][j] = 0;
}
}
int val = s[tl] - '0';
for (int i = 0; i <= 9; ++i){
if (i < val){
if (i == 1){
t[v].s[0][1] += 1;
}
else if (i == 3){
t[v].s[1][0] += 1;
}
else{
t[v].s[0][0] += 1;
}
}
else if (i == val){
if (i == 1){
t[v].e[0][1] += 1;
}
else if (i == 3){
t[v].e[1][0] += 1;
}
else{
t[v].e[0][0] += 1;
}
}
else{
if (i == 1){
t[v].b[0][1] += 1;
}
else if (i == 3){
t[v].b[1][0] += 1;
}
else{
t[v].b[0][0] += 1;
}
}
}
return;
}
int tm = (tl + tr) / 2;
build(v + v, tl, tm);
build(v + v + 1, tm + 1, tr);
t[v] = merge(t[v + v], t[v + v + 1]);
/*cout << v << '\n';
cout << tl << " " << tr << '\n';
cout << t[v].s[0][0] << " " << t[v].s[0][1] << " " << t[v].s[1][0] << " " << t[v].s[1][1] << '\n';
cout << t[v].e[0][0] << " " << t[v].e[0][1] << " " << t[v].e[1][0] << " " << t[v].e[1][1] << '\n';
cout << t[v].b[0][0] << " " << t[v].b[0][1] << " " << t[v].b[1][0] << " " << t[v].b[1][1] << '\n';*/
}
void upd(int pos, int val, int v = 1, int tl = 1, int tr = n){
if (tl == tr){
for (int i = 0; i < 2; ++i){
for (int j = 0; j < 2; ++j){
t[v].s[i][j] = 0;
t[v].e[i][j] = 0;
t[v].b[i][j] = 0;
}
}
for (int i = 0; i <= 9; ++i){
if (i < val){
if (i == 1){
t[v].s[0][1] += 1;
}
else if (i == 3){
t[v].s[1][0] += 1;
}
else{
t[v].s[0][0] += 1;
}
}
else if (i == val){
if (i == 1){
t[v].e[0][1] += 1;
}
else if (i == 3){
t[v].e[1][0] += 1;
}
else{
t[v].e[0][0] += 1;
}
}
else{
if (i == 1){
t[v].b[0][1] += 1;
}
else if (i == 3){
t[v].b[1][0] += 1;
}
else{
t[v].b[0][0] += 1;
}
}
}
return;
}
int tm = (tl + tr) / 2;
if (pos <= tm){
upd(pos, val, v + v, tl, tm);
}
else{
upd(pos, val, v + v + 1, tm + 1, tr);
}
t[v] = merge(t[v + v], t[v + v + 1]);
}
node get(int l, int r, int v = 1, int tl = 1, int tr = n){
if (l <= tl && tr <= r){
return t[v];
}
int tm = (tl + tr) / 2;
if (r <= tm){
return get(l, r, v + v, tl, tm);
}
if (l > tm){
return get(l, r, v + v + 1, tm + 1, tr);
}
return merge(get(l, r, v + v, tl, tm), get(l, r, v + v + 1, tm + 1, tr));
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin >> n >> q;
cin >> s;
s = '#' + s;
build();
ll answ = 0;
for (int i = 0; i < 2; ++i){
for (int j = 0; j < 2; ++j){
answ = (answ + t[1].s[i][j] + t[1].e[i][j]) % mod;
}
}
cout << answ << '\n';
// exit(0);
for (int type, l, r, pos, dig, i = 1; i <= q; ++i){
cin >> type;
if (type == 1){
cin >> l >> r;
node ans = get(l, r);
answ = 0;
for (int j = 0; j < 2; ++j){
for (int k = 0; k < 2; ++k){
answ = (answ + ans.s[j][k] + ans.e[j][k]) % mod;
}
}
cout << answ << '\n';
}
else{
cin >> pos >> dig;
upd(pos, dig);
}
}
}
/*
ajj, ajj, ajj, ajj, aj, aj, aj, aj, aj, aj, ak, ak, ak, ak, ak, ai, ai, ai
*/
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
9 ms |
19072 KB |
Output is correct |
| 2 |
Correct |
11 ms |
19028 KB |
Output is correct |
| 3 |
Correct |
10 ms |
19028 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
9 ms |
19072 KB |
Output is correct |
| 2 |
Correct |
11 ms |
19028 KB |
Output is correct |
| 3 |
Correct |
10 ms |
19028 KB |
Output is correct |
| 4 |
Incorrect |
9 ms |
19028 KB |
Output isn't correct |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
46 ms |
19240 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
46 ms |
19240 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
9 ms |
19072 KB |
Output is correct |
| 2 |
Correct |
11 ms |
19028 KB |
Output is correct |
| 3 |
Correct |
10 ms |
19028 KB |
Output is correct |
| 4 |
Incorrect |
9 ms |
19028 KB |
Output isn't correct |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
9 ms |
19072 KB |
Output is correct |
| 2 |
Correct |
11 ms |
19028 KB |
Output is correct |
| 3 |
Correct |
10 ms |
19028 KB |
Output is correct |
| 4 |
Incorrect |
9 ms |
19028 KB |
Output isn't correct |
| 5 |
Halted |
0 ms |
0 KB |
- |
