#include<bits/stdc++.h>
using namespace std;
#define int int64_t
const int64_t mod = 1e9+7;
const int maxn = 1e6+10;
int inf;
/*
case:
1. a[i] + b[i] = c[i]
2. a[i] + b[i] + carry = c[i]
dp[i][0/1] = ile jest poprawnych początków dla spójnego podciągu kończącego sie w i z danym carry
ans = suma po dp[i][0]
*/
string as, bs, cs;
char ac[maxn];
char bc[maxn];
char cc[maxn];
int a[maxn];
int b[maxn];
int c[maxn];
int dp[maxn][2];
int n;
void tc()
{
cin >> as >> bs >> cs;
n = as.length();
for (int i = 1; i <= n; i++)
{
ac[i] = as[i-1];
bc[i] = bs[i-1];
cc[i] = cs[i-1];
}
for (int i = 1; i <= n; i++)
{
a[i] = ac[i] - '0';
b[i] = bc[i] - '0';
c[i] = cc[i] - '0';
}
for (int i = 0; i <= n; i++)
{
dp[i][0] = dp[i][1] = 0;
}
for (int i = 1; i <= n; i++)
{
if (a[i] + b[i] == c[i])
{
dp[i][0]++;
}
if (a[i] + b[i] + 1 == c[i])
{
dp[i][1]++;
}
int carry = (a[i] + b[i]) / 10;
int last_digit = (a[i] + b[i]) % 10;
if (carry == 0 && last_digit == c[i])
{
dp[i][0] += dp[i-1][0];
}
if (carry == 1 && last_digit == c[i])
{
dp[i][0] += dp[i-1][1];
}
carry = (a[i] + b[i] + 1) / 10;
last_digit = (a[i] + b[i] + 1) % 10;
if (carry == 0 && last_digit == c[i])
{
dp[i][1] += dp[i-1][0];
}
if (carry == 1 && last_digit == c[i])
{
dp[i][1] += dp[i-1][1];
}
}
int ans = 0;
for (int i = 1; i <= n; i++)
{
ans += dp[i][0];
}
cout << ans << endl;
}
int32_t main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
inf = numeric_limits<int>::max()/2;
int T = 1;
//cin >> T;
while (T--) tc();
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 | #include<bits/stdc++.h> using namespace std; #define int int64_t const int64_t mod = 1e9+7; const int maxn = 1e6+10; int inf; /* case: 1. a[i] + b[i] = c[i] 2. a[i] + b[i] + carry = c[i] dp[i][0/1] = ile jest poprawnych początków dla spójnego podciągu kończącego sie w i z danym carry ans = suma po dp[i][0] */ string as, bs, cs; char ac[maxn]; char bc[maxn]; char cc[maxn]; int a[maxn]; int b[maxn]; int c[maxn]; int dp[maxn][2]; int n; void tc() { cin >> as >> bs >> cs; n = as.length(); for (int i = 1; i <= n; i++) { ac[i] = as[i-1]; bc[i] = bs[i-1]; cc[i] = cs[i-1]; } for (int i = 1; i <= n; i++) { a[i] = ac[i] - '0'; b[i] = bc[i] - '0'; c[i] = cc[i] - '0'; } for (int i = 0; i <= n; i++) { dp[i][0] = dp[i][1] = 0; } for (int i = 1; i <= n; i++) { if (a[i] + b[i] == c[i]) { dp[i][0]++; } if (a[i] + b[i] + 1 == c[i]) { dp[i][1]++; } int carry = (a[i] + b[i]) / 10; int last_digit = (a[i] + b[i]) % 10; if (carry == 0 && last_digit == c[i]) { dp[i][0] += dp[i-1][0]; } if (carry == 1 && last_digit == c[i]) { dp[i][0] += dp[i-1][1]; } carry = (a[i] + b[i] + 1) / 10; last_digit = (a[i] + b[i] + 1) % 10; if (carry == 0 && last_digit == c[i]) { dp[i][1] += dp[i-1][0]; } if (carry == 1 && last_digit == c[i]) { dp[i][1] += dp[i-1][1]; } } int ans = 0; for (int i = 1; i <= n; i++) { ans += dp[i][0]; } cout << ans << endl; } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(0); inf = numeric_limits<int>::max()/2; int T = 1; //cin >> T; while (T--) tc(); return 0; } |
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