#include <bits/stdc++.h>
using namespace std;
#define fwd(i, a, n) for (int i = (a); i < (n); i++)
#define rep(i, n) fwd(i, 0, n)
#define all(X) X.begin(), X.end()
#define sz(X) int(size(X))
#define pb push_back
#define eb emplace_back
#define st first
#define nd second
using pii = pair<int, int>;
using vi = vector<int>;
using ll = long long;
using ld = long double;
#ifdef LOC
auto SS = signal(6, [](int) {
*(int *)0 = 0;
});
# define DTP(x, y) \
auto operator<<(auto &o, auto a)->decltype(y, o) { \
o << "("; \
x; \
return o << ")"; \
}
DTP(o << a.st << ", " << a.nd, a.nd);
DTP(for (auto i : a) o << i << ", ", all(a));
void dump(auto... x) {
((cerr << x << ", "), ...) << '\n';
}
# define deb(x...) cerr << setw(4) << __LINE__ << ":[" #x "]: ", dump(x)
#else
# define deb(...) 0
#endif
int32_t main() {
cin.tie(0)->sync_with_stdio(0);
string a, b, c;
cin >> a >> b >> c;
long long res = 0;
long long without_carry = 0, with_carry = 0;
auto dp_step = [&](int a_val, int b_val, int c_val) {
long long res_contribution = 0;
long long new_without_carry = 0, new_with_carry = 0;
// without carry
if ((a_val + b_val) % 10 == c_val) {
bool carry = (a_val + b_val) >= 10;
if (carry) {
res_contribution += with_carry;
new_without_carry += with_carry;
} else {
res_contribution += without_carry + 1;
new_without_carry += without_carry + 1;
}
}
// with carry
if ((a_val + b_val + 1) % 10 == c_val) {
bool carry = (a_val + b_val + 1) >= 10;
if (carry) {
new_with_carry += with_carry;
} else {
new_with_carry += without_carry + 1;
}
}
res += res_contribution;
without_carry = new_without_carry;
with_carry = new_with_carry;
};
rep(i, sz(a)) {
int a_val = a[i] - '0';
int b_val = b[i] - '0';
int c_val = c[i] - '0';
dp_step(a_val, b_val, c_val);
}
cout << res << "\n";
#ifdef LOCF
cout.flush();
cerr << "- - - - - - - - -\n";
(void)!system(
"grep VmPeak /proc/$PPID/status | sed s/....kB/\' MB\'/1 >&2"); // 4x.kB
// ....kB
#endif
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 | #include <bits/stdc++.h> using namespace std; #define fwd(i, a, n) for (int i = (a); i < (n); i++) #define rep(i, n) fwd(i, 0, n) #define all(X) X.begin(), X.end() #define sz(X) int(size(X)) #define pb push_back #define eb emplace_back #define st first #define nd second using pii = pair<int, int>; using vi = vector<int>; using ll = long long; using ld = long double; #ifdef LOC auto SS = signal(6, [](int) { *(int *)0 = 0; }); # define DTP(x, y) \ auto operator<<(auto &o, auto a)->decltype(y, o) { \ o << "("; \ x; \ return o << ")"; \ } DTP(o << a.st << ", " << a.nd, a.nd); DTP(for (auto i : a) o << i << ", ", all(a)); void dump(auto... x) { ((cerr << x << ", "), ...) << '\n'; } # define deb(x...) cerr << setw(4) << __LINE__ << ":[" #x "]: ", dump(x) #else # define deb(...) 0 #endif int32_t main() { cin.tie(0)->sync_with_stdio(0); string a, b, c; cin >> a >> b >> c; long long res = 0; long long without_carry = 0, with_carry = 0; auto dp_step = [&](int a_val, int b_val, int c_val) { long long res_contribution = 0; long long new_without_carry = 0, new_with_carry = 0; // without carry if ((a_val + b_val) % 10 == c_val) { bool carry = (a_val + b_val) >= 10; if (carry) { res_contribution += with_carry; new_without_carry += with_carry; } else { res_contribution += without_carry + 1; new_without_carry += without_carry + 1; } } // with carry if ((a_val + b_val + 1) % 10 == c_val) { bool carry = (a_val + b_val + 1) >= 10; if (carry) { new_with_carry += with_carry; } else { new_with_carry += without_carry + 1; } } res += res_contribution; without_carry = new_without_carry; with_carry = new_with_carry; }; rep(i, sz(a)) { int a_val = a[i] - '0'; int b_val = b[i] - '0'; int c_val = c[i] - '0'; dp_step(a_val, b_val, c_val); } cout << res << "\n"; #ifdef LOCF cout.flush(); cerr << "- - - - - - - - -\n"; (void)!system( "grep VmPeak /proc/$PPID/status | sed s/....kB/\' MB\'/1 >&2"); // 4x.kB // ....kB #endif return 0; } |
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