This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define sz(x) (int)((x).size())
#define pb push_back
#define fr first
#define sc second
#define pw(x) (1ll << x)
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef pair <int, int> pii;
typedef pair <ll, ll> pll;
typedef unsigned long long ull;
template <typename T> inline bool umax (T &a, const T &b) { if (a < b) { a = b; return 1; } return 0; }
template <typename T> inline bool umin (T &a, const T &b) { if (a > b) { a = b; return 1; } return 0; }
template <typename T>
using oset = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
const int mod = 1e9 + 7;
inline int add (int a, int b) { a += b; if (a >= mod) a -= mod; return a; }
inline int mul (int a, int b) { return (a * 1ll * b) % mod; }
#pragma GCC optimize ("Ofast")
struct segtree {
struct node {
int sm[2][2], eq[2][2], la[2][2];
bool orz;
node () {
orz = 1;
for (int i = 0; i < 2; ++i) {
for (int j = 0; j < 2; ++j) {
sm[i][j] = eq[i][j] = la[i][j] = 0;
}
}
}
node (int x) {
sm[0][0] = x - (x > 1) - (x > 3);
sm[0][1] = (x > 1);
sm[1][0] = (x > 3);
sm[1][1] = 0;
eq[0][0] = (!(x == 1) && !(x == 3)) ;
eq[0][1] = (x == 1);
eq[1][0] = (x == 3);
eq[1][1] = 0;
la[0][0] = 9 - x - (x < 1) - (x < 3);
la[0][1] = (x < 1);
la[1][0] = (x < 3);
la[1][1] = 0;
orz = 0;
}
inline node operator + (const node &b) const {
node res;
if (orz) return b;
if (b.orz) return *this;
res.orz = 0;
for (int i = 0; i < 2; ++i) {
for (int j = 0; j < 2; ++j) {
for (int e1 = 0; e1 < 2; ++e1) {
for (int b3 = 0; b3 < 2; ++b3) {
if (e1 && b3) continue;
res.sm[i][j] = add(res.sm[i][j], mul(sm[i][e1], b.sm[b3][j]));
res.sm[i][j] = add(res.sm[i][j], mul(sm[i][e1], b.eq[b3][j]));
res.sm[i][j] = add(res.sm[i][j], mul(sm[i][e1], b.la[b3][j]));
res.sm[i][j] = add(res.sm[i][j], mul(eq[i][e1], b.sm[b3][j]));
res.eq[i][j] = add(res.eq[i][j], mul(eq[i][e1], b.eq[b3][j]));
res.la[i][j] = add(res.la[i][j], mul(eq[i][e1], b.la[b3][j]));
res.la[i][j] = add(res.la[i][j], mul(la[i][e1], b.sm[b3][j]));
res.la[i][j] = add(res.la[i][j], mul(la[i][e1], b.eq[b3][j]));
res.la[i][j] = add(res.la[i][j], mul(la[i][e1], b.la[b3][j]));
}
}
}
}
return res;
}
};
int n; vector <node> t;
segtree (const string &s) : n(sz(s)), t(4 * sz(s)) { build(1, 0, n - 1, s); }
inline void build (int v, int tl, int tr, const string &s) {
if (tl == tr) return void(t[v] = node(s[tl] - '0'));
int tm = (tl + tr) >> 1;
build(v << 1, tl, tm, s); build(v << 1 | 1, tm + 1, tr, s);
t[v] = t[v << 1] + t[v << 1 | 1];
}
inline void upd (int v, int tl, int tr, int pos, int x) {
if (tl == tr) return void(t[v] = node(x));
int tm = (tl + tr) >> 1;
if (pos <= tm) upd(v << 1, tl, tm, pos, x);
else upd(v << 1 | 1, tm + 1, tr, pos, x);
t[v] = t[v << 1] + t[v << 1 | 1];
}
inline node get (int v, int tl, int tr, int l, int r) {
if (l > tr || tl > r) return node();
if (l <= tl && tr <= r) return t[v];
int tm = (tl + tr) >> 1;
return get(v << 1, tl, tm, l, r) + get(v << 1 | 1, tm + 1, tr, l, r);
}
inline void upd (int pos, int x) { upd(1, 0, n - 1, pos, x); }
inline int get (int l, int r) {
node a = get(1, 0, n - 1, l, r);
int res = 0;
for (int i = 0; i < 2; ++i) {
for (int j = 0; j < 2; ++j) {
res = add(res, a.sm[i][j]);
res = add(res, a.eq[i][j]);
}
}
return res;
}
};
inline void solve () {
int n, q; cin >> n >> q;
string s; cin >> s;
segtree st (s);
cout << st.get(0, n - 1) << endl;
while (q--) {
int t; cin >> t;
if (t == 1) {
int l, r; cin >> l >> r; --l, --r;
cout << st.get(l, r) << endl;
}
else {
int i, x; cin >> i >> x; --i;
st.upd(i, x);
}
}
}
signed main ()
{
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif // LOCAL
int t = 1; // cin >> t;
while (t--) solve();
return 0;
}
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