CSES - Putka Open 2020 – 3/5 - Results
Submission details
Task:Numerot
Sender:hltk
Submission time:2020-10-18 11:40:42 +0300
Language:C++ (C++17)
Status:READY
Result:100
Feedback
groupverdictscore
#1ACCEPTED12
#2ACCEPTED13
#3ACCEPTED75
Test results
testverdicttimegroup
#1ACCEPTED0.20 s1, 2, 3details
#2ACCEPTED0.22 s2, 3details
#3ACCEPTED0.37 s3details

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