| Task: | Numerot |
| Sender: | hltk |
| Submission time: | 2020-10-18 11:40:42 +0300 |
| Language: | C++ (C++17) |
| Status: | READY |
| Result: | 100 |
| group | verdict | score |
|---|---|---|
| #1 | ACCEPTED | 12 |
| #2 | ACCEPTED | 13 |
| #3 | ACCEPTED | 75 |
| test | verdict | time | group | |
|---|---|---|---|---|
| #1 | ACCEPTED | 0.20 s | 1, 2, 3 | details |
| #2 | ACCEPTED | 0.22 s | 2, 3 | details |
| #3 | ACCEPTED | 0.37 s | 3 | details |
Code
#include <iostream>
#include <functional>
using namespace std;
long S[20][10][10][10];
int L[20][10][10][10];
long ppow[20];
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
ppow[0] = 1;
for (int j = 1; j < 19; ++j)
ppow[j] = ppow[j - 1] * 10;
ppow[19] = -1 ^ (1ll << 63);
for (int b = 0; b <= 9; ++b) {
for (int v = 0; v <= 9; ++v) {
if (b > v) {
S[0][b][v][v] = 0;
L[0][b][v][v] = v;
} else {
S[0][b][v][v] = (v != 0);
L[0][b][v][v] = 0;
}
}
}
auto step = [](long x, int b) {
long r = b;
long y = x;
while (y) { r = max(r, y % 10); y /= 10; }
return x - r;
};
function<pair<long, int>(long, int)> solve = [&](long n, int b) -> pair<long, int> {
if (n < 10)
return b > n ? make_pair(long(0), int(n)) : make_pair(long(n > 0), 0);
int lpow = 1;
while (n / ppow[lpow] % 10 == 0)
lpow++;
long s = 0;
while (n / ppow[lpow] % 10 == step(n, b) / ppow[lpow] % 10) {
n = step(n, b);
s++;
}
int nb = b;
for (int p = lpow + 1; p <= 18; ++p)
b = max(b, int(n / ppow[p] % 10));
int v = int(n / ppow[lpow] % 10);
int m = int(n % 10);
s += S[lpow][b][v][m];
int lx = L[lpow][b][v][m];
auto [sx, l] = solve(n - n % 10 + lx - v * ppow[lpow], nb);
return make_pair(s + sx, l);
};
for (int pot = 1; pot <= 18; ++pot) {
for (int v = 1; v <= 9; ++v) {
for (int b = 0; b <= 9; ++b) {
for (int m = 0; m <= 9; ++m) {
if (m >= max(v, b))
continue;
long num = ppow[pot] * v + m - max(v, b);
auto [s, l] = solve(num, b);
S[pot][b][v][m] = s + 1;
L[pot][b][v][m] = l;
}
}
}
}
auto calc = [&](long k) {
long z = 0;
for (long b = 1l << 62; b; b /= 2)
if (solve(b + z, 0).first < k)
z += b;
return z + 1;
};
int t;
cin >> t;
while (t--) {
long k;
cin >> k;
cout << calc(k) << '\n';
}
}
Test details
Test 1
Group: 1, 2, 3
Verdict: ACCEPTED
| input |
|---|
| 1000 1 2 3 4 ... |
| correct output |
|---|
| 1 10 11 20 22 ... |
| user output |
|---|
| 1 10 11 20 22 ... Truncated |
Test 2
Group: 2, 3
Verdict: ACCEPTED
| input |
|---|
| 1000 224995 413660 249827 2125 ... |
| correct output |
|---|
| 1731724 3216040 1940719 14585 532612 ... |
| user output |
|---|
| 1731724 3216040 1940719 14585 532612 ... Truncated |
Test 3
Group: 3
Verdict: ACCEPTED
| input |
|---|
| 1000 627887018110416188 785474884983906653 653772166720939773 784335285960673683 ... |
| correct output |
|---|
| 5530371754830260284 6918696171534226533 5757755627065159149 6908439780325129803 3223801064342340738 ... |
| user output |
|---|
| 5530371754830260284 6918696171534226533 5757755627065159149 6908439780325129803 3223801064 ... Truncated |
