CSES - Putka Open 2020 – 3/5 - Results
Submission details
Task:Numerot
Sender:tykkipeli
Submission time:2020-10-18 04:48:34 +0300
Language:C++ (C++11)
Status:READY
Result:100
Feedback
groupverdictscore
#1ACCEPTED12
#2ACCEPTED13
#3ACCEPTED75
Test results
testverdicttimegroup
#1ACCEPTED0.02 s1, 2, 3details
#2ACCEPTED0.02 s2, 3details
#3ACCEPTED0.05 s3details

Compiler report

input/code.cpp:131:5: warning: "/*" within comment [-Wcomment]
     /*

Code

#include <bits/stdc++.h>
using namespace std;
 
typedef unsigned long long ll;

// a numeroa, käytössä b, eka numero c, vika numero d
pair<ll,int> dp[23][10][10][10];
bool done[23][10][10][10];

int maxdigit(ll n) {
    int ans = 0;
    while (n > 0) {
        ans = max(ans,(int)(n%10));
        n /= 10;
    }
    return ans;
}

pair<ll,int> solve(int a, int b, int c, int d) {
    if (done[a][b][c][d]) return dp[a][b][c][d];
    done[a][b][c][d] = true;
    if (a == 1) {
        dp[a][b][c][d] = {0,d};
        return dp[a][b][c][d];
    }
    if (c == 1) {
        if (a == 2) {
            int val = 10 + d;
            ll cnt = 0;
            while (val >= 10) {
                val -= max(b,maxdigit(val));
                cnt++;
            }
            dp[a][b][c][d] = {cnt,val};
            return dp[a][b][c][d];
        } else {
            if (b > d) {
                auto p = solve(a-1, 9, 1, 10+d-b-1);
                auto pp = solve(a-1, b, 9, p.second);
                dp[a][b][c][d] = {p.first + pp.first, pp.second};
                return dp[a][b][c][d];
            } else {
                int x = max(1,b);
                auto p = solve(a-1, 9, 1, 10-x-1);
                auto pp = solve(a-1, b, 9, p.second);
                int lisa = 0;
                if (d > 0) lisa++;
                dp[a][b][c][d] = {p.first + pp.first + lisa , pp.second};
                return dp[a][b][c][d];
            }
        }
    } else {
        int kaytossa = max(b,c);
        if (b >= c || a == 2) {
            auto p = solve(a,kaytossa,1,d);
            auto pp = solve(a,b,c-1,p.second);
            dp[a][b][c][d] = {p.first + pp.first, pp.second};
            return dp[a][b][c][d];
        } else {
            // b < c kaytossa < eka merkki
            if (c > d) {
                auto p = solve(a, c-1, 1, d-1);
                //if (a == 3 && b == 1 && c == 4 && d == 0) cout << p.first << " " << p.second << endl;
                auto pp = solve(a, b, c-1, p.second);
                //if (a == 3 && b == 1 && c == 4 && d == 0) cout << pp.first << " " << pp.second << endl;
                dp[a][b][c][d] = {p.first + pp.first, pp.second};
                return dp[a][b][c][d];
            } else {
                // b < c <= d
                auto p = solve(a, b, c, 0);
                dp[a][b][c][d] = {p.first + 1, p.second};
                return dp[a][b][c][d];
            }
        }
    }
}

ll ratkaise(ll x) {
    ll ans = 0;
    int digit = x%10;
    int ind = 1;
    while (x > 0) {
        if (x%10 != 0) {
            int maxi = maxdigit(x/10);
            auto p = dp[ind][maxi][x%10][digit];
            ans += p.first;
            digit = p.second;
        }
        x /= 10;
        ind++;
    }
    return ans+1;
}

void testCase() {
    ll a;
    cin >> a;
    ll x = 0;
    for (ll b = ULLONG_MAX; b >= 1; b /= 2) {
        while (ratkaise(x+b) < a) x += b;
    }
    cout << x+1 << "\n";
}

//int lol[20000000];

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    /*
    for (int ind = 1; ind < 10000000; ind++) {
        lol[ind] = 1 + lol[ind-maxdigit(ind)];
    }
    */
    for (int i = 1; i < 23; i++) {
        for (int j = 0; j < 10; j++) {
            for (int k = 1; k < 10; k++) {
                for (int l = 0; l < 10; l++) {
                    solve(i,j,k,l);
                }
            }
        }
    }
    int t;
    cin >> t;
    for (int i = 0; i < t; i++) {
        testCase();
    }
    
    /*
    /*
    cout << dp[3][6][1][0].first << " " << dp[3][6][1][0].second << endl;
    cout << endl;
    
    for (int i = 1; i <= 9; i++) {
        for (int j = 0; j <= 9; j++) {
            cout << i << "0" << j << " " << dp[3][0][i][j].first+1 << endl;
        }
    }
    */
    
    /*
    for (int i = 1; i < 1000000; i++) {
        cout << i << " " << ratkaise(i) << " " << lol[i] << endl;
        if (ratkaise(i) != lol[i]) {
            //cout << "VIRHE!" << endl;
            cout << i << endl;
            //break;
        }
    }
    */
    
    //cout << dp[3][1][4][0].first << endl;
}
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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