CSES - Putka Open 2020 – 3/5 - Results
Submission details
Task:Numerot
Sender:Metabolix
Submission time:2020-10-17 22:06:16 +0300
Language:C++ (C++17)
Status:READY
Result:25
Feedback
groupverdictscore
#1ACCEPTED12
#2ACCEPTED13
#30
Test results
testverdicttimegroup
#1ACCEPTED0.09 s1, 2, 3details
#2ACCEPTED0.41 s2, 3details
#3--3details

Code

#include <bits/stdc++.h>
std::unordered_map<long, std::pair<long, long>> cache[10];
long pows[] = {
1l,
10l,
100l,
1000l,
10000l,
100000l,
1000000l,
10000000l,
100000000l,
1000000000l,
10000000000l,
100000000000l,
1000000000000l,
10000000000000l,
100000000000000l,
1000000000000000l,
10000000000000000l,
100000000000000000l,
1000000000000000000l
};
std::pair<long, long> f(long luku, const long maxnum = 0) {
long key = luku;
if (cache[maxnum].find(key) != cache[maxnum].end()) {
return cache[maxnum].find(key)->second;
}
if (luku < maxnum) {
return {1, -maxnum};
}
if (luku <= 9) {
if (maxnum == 0) {
return {1, -luku};
}
return {2, -(luku + maxnum)};
}
long askelia = 0;
long muutos = 0;
while (luku > 9) {
auto s = std::to_string(luku);
bool muutettu = false;
for (unsigned i = 1; i < s.length() - 1; ++i) {
if (s[s.length() - 1 - i] != '0') {
auto newmaxnum = maxnum;
for (unsigned j = i + 1; j < s.length(); ++j) {
int c = s[s.length() - 1 - j] - '0';
if (c > newmaxnum) {
newmaxnum = c;
}
}
auto am = f(luku % pows[i+1], newmaxnum);
askelia += am.first;
muutos += am.second;
luku += am.second;
muutettu = true;
break;
}
}
if (!muutettu) {
askelia += 1;
auto num = std::max<long>({maxnum, s[0] - '0', *s.rbegin() - '0'});
muutos -= num;
luku -= num;
}
}
cache[maxnum][key] = {askelia, muutos};
return cache[maxnum][key];
}
long g(long x) {
return f(x).first + 1;
}
int main() {
int t;
std::cin >> t;
for (int i = 0; i < t; ++i) {
long x;
std::cin >> x;
if (x == 1) {
std::cout << "1\n";
continue;
}
long k0 = 9, k1 = 9000000000000000001l;
while (k1 - k0 > 1) {
long k = ((unsigned long)k1 + (unsigned long)k0) / 2;
if (g(k) < x) {
k0 = k;
} else {
k1 = k;
}
}
std::cout << k1 << "\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:

input
1000
627887018110416188
785474884983906653
653772166720939773
784335285960673683
...

correct output
5530371754830260284
6918696171534226533
5757755627065159149
6908439780325129803
3223801064342340738
...

user output
(empty)