#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int N = 1e5 + 5;
const int mod = 1e9 + 7;
int n, q;
char s[N];
int dp[N];
struct ura{
int cnt, cnt1, cnt3, cnt31, are1, are3, are31, eok, nr;
///cnt -> cate cu prop aia
} seg[N * 4];
int adun(int a, int b)
{
int c = a + b;
if (c >= mod)
c -= mod;
return c;
}
int inm(int a, int b)
{
ll aa = a;
ll bb = b;
ll c = aa * bb;
c = c % mod;
return c;
}
int scad(int a, int b)
{
int c = a - b;
if (c < 0)
c += mod;
return c;
}
ura join(ura a, ura b)
{
ura rez;
rez.are1 = rez.are31 = rez.are3 = rez.cnt1 = rez.cnt31 = rez.cnt3 = rez.cnt = rez.eok = rez.nr = 0;
if (!(a.are1 && b.are3))
{
if (a.eok && b.eok)
rez.eok = 1;
if (a.are3 && b.are1)
rez.are31 = 1;
if (a.are3 && b.eok)
rez.are3 = 1;
if (b.are1 && a.eok)
rez.are1 = 1;
}
rez.cnt = scad(adun(inm(scad(a.cnt, a.eok), dp[b.nr]), inm(a.eok, b.cnt)), adun(inm(scad(a.cnt1, a.are1), dp[b.nr - 1]), inm(b.cnt3, a.are1)));
rez.cnt1 = scad(adun(inm(scad(a.cnt, a.eok), dp[b.nr - 1]), inm(b.cnt1, a.eok)), adun(inm(scad(a.cnt1, a.are1), dp[b.nr - 2]), inm(b.cnt31, a.are1)));
rez.cnt3 = scad(adun(inm(scad(a.cnt3, a.are3), dp[b.nr]), inm(b.cnt, a.are3)), adun(inm(scad(a.cnt31, a.are31), dp[b.nr - 1]), inm(b.cnt3, a.are31)));
rez.cnt31 = scad(adun(inm(scad(a.cnt3, a.are3), dp[b.nr - 1]), inm(b.cnt1, a.are3)), adun(inm(scad(a.cnt31, a.are31), dp[b.nr - 2]), inm(b.cnt31, a.are31)));
rez.nr = adun(a.nr, b.nr);
return rez;
}
void leaf(int nod, int val)
{
seg[nod].are1 = seg[nod].are31 = seg[nod].are3 = seg[nod].cnt1 = seg[nod].cnt3 = seg[nod].cnt31 = 0;
seg[nod].nr = 1;
seg[nod].eok = 1;
if (val == 1)
seg[nod].are1 = 1;
if (val == 3)
seg[nod].are3 = 1;
if (1 <= val)
seg[nod].cnt1 = 1;
if (3 <= val)
seg[nod].cnt3 = 1;
seg[nod].cnt = val + 1;
return;
}
void upd(int nod, int l, int r, int poz, int val)
{
if (l == r)
{
leaf(nod, val);
return;
}
int mid = (l + r) / 2, ls = 2 * nod, rs = ls + 1;
if (poz <= mid)
upd(ls, l, mid, poz, val);
else
upd(rs, 1 + mid, r, poz, val);
seg[nod] = join(seg[ls], seg[rs]);
}
ura qry(int nod, int l, int r, int ql, int qr)
{
if (ql <= l && r <= qr)
return seg[nod];
int mid = (l + r) / 2, ls = 2 * nod, rs = ls + 1;
if (mid < ql)
return qry(rs, mid + 1, r, ql, qr);
else
if (qr <= mid)
return qry(ls, l, mid, ql, qr);
else
return join(qry(ls, l, mid, ql, qr), qry(rs, mid + 1, r, ql, qr));
}
void build(int nod, int l, int r)
{
if (l == r)
{
leaf(nod, s[l] - '0');
return;
}
int mid = (l + r) / 2, ls = 2 * nod, rs = ls + 1;
build(ls, l, mid);
build(rs, mid + 1, r);
seg[nod] = join(seg[ls], seg[rs]);
}
int main()
{
cin >> n >> q;
cin >> s + 1;
dp[0] = 1;
dp[1] = 10;
for (int i = 2; i <= n; i++)
dp[i] = scad(inm(dp[i - 1], 10) , dp[i - 2]);
build(1, 1, n);
cout << qry(1, 1, n, 1, n).cnt << '\n';
while (q--)
{
int t, a, b;
cin >> t >> a >> b;
if (t == 1)
{
cout << qry(1, 1, n, a, b).cnt << '\n';
continue;
}
upd(1, 1, n, a, b);
}
return 0;
}
Compilation message
lucky.cpp: In function 'int main()':
lucky.cpp:119:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
119 | cin >> s + 1;
| ~~^~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
948 KB |
Output is correct |
2 |
Correct |
31 ms |
1560 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
26 ms |
948 KB |
Output is correct |
2 |
Correct |
31 ms |
1560 KB |
Output is correct |
3 |
Correct |
46 ms |
9976 KB |
Output is correct |
4 |
Correct |
41 ms |
9996 KB |
Output is correct |
5 |
Correct |
52 ms |
9960 KB |
Output is correct |
6 |
Correct |
52 ms |
10072 KB |
Output is correct |
7 |
Correct |
51 ms |
10036 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
26 ms |
948 KB |
Output is correct |
8 |
Correct |
31 ms |
1560 KB |
Output is correct |
9 |
Correct |
20 ms |
956 KB |
Output is correct |
10 |
Correct |
28 ms |
1564 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
26 ms |
948 KB |
Output is correct |
8 |
Correct |
31 ms |
1560 KB |
Output is correct |
9 |
Correct |
46 ms |
9976 KB |
Output is correct |
10 |
Correct |
41 ms |
9996 KB |
Output is correct |
11 |
Correct |
52 ms |
9960 KB |
Output is correct |
12 |
Correct |
52 ms |
10072 KB |
Output is correct |
13 |
Correct |
51 ms |
10036 KB |
Output is correct |
14 |
Correct |
20 ms |
956 KB |
Output is correct |
15 |
Correct |
28 ms |
1564 KB |
Output is correct |
16 |
Correct |
38 ms |
9932 KB |
Output is correct |
17 |
Correct |
33 ms |
9940 KB |
Output is correct |
18 |
Correct |
41 ms |
9932 KB |
Output is correct |
19 |
Correct |
46 ms |
10032 KB |
Output is correct |
20 |
Correct |
45 ms |
10040 KB |
Output is correct |