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  • CodeForces758D

    D. Ability To Convert

    time limit per test:1 second
    memory limit per test:256 megabytes
    input:standard input
    output:standard output

    Alexander is learning how to convert numbers from the decimal system to any other, however, he doesn't know English letters, so he writes any number only as a decimal number, it means that instead of the letter A he will write the number 10. Thus, by converting the number 475 from decimal to hexadecimal system, he gets 11311 (475 = 1·162 + 13·161 + 11·160). Alexander lived calmly until he tried to convert the number back to the decimal number system.

    Alexander remembers that he worked with little numbers so he asks to find the minimum decimal number so that by converting it to the system with the base n he will get the number k.

    Input

    The first line contains the integer n (2 ≤ n ≤ 109). The second line contains the integer k (0 ≤ k < 1060), it is guaranteed that the number kcontains no more than 60 symbols. All digits in the second line are strictly less than n.

    Alexander guarantees that the answer exists and does not exceed 1018.

    The number k doesn't contain leading zeros.

    Output

    Print the number x (0 ≤ x ≤ 1018) — the answer to the problem.

    Examples

    input

    13
    12

    output

    12

    input

    16
    11311

    output

    475

    input

    20
    999

    output

    3789

    input

    17
    2016

    output

    594

    Note

    In the first example 12 could be obtained by converting two numbers to the system with base 13: 12 = 12·130 or 15 = 1·131 + 2·130.

    此题有毒。直接贪心,自己电脑上测试数据都过,cf上莫名其妙的变了。。。

      1 //2016.01.21
      2 #include <iostream>
      3 #include <cstdio>
      4 #include <algorithm>
      5 #include <cstring>
      6 #define ll long long
      7 
      8 using namespace std;
      9 
     10 int fun_len(ll a)
     11 {
     12     ll n = 0;
     13     while(a)
     14     {
     15         n++;
     16         a/=10;
     17     }
     18     return n;
     19 }
     20 
     21 ll pow(ll a, ll b)
     22 {
     23     ll ans = 1;
     24     while(b)
     25     {
     26         if(b&1)ans *= a;
     27         a*=a;
     28         b>>=1;
     29     }
     30 }
     31 
     32 int main()
     33 {
     34     ll cnt, dig[65];
     35     ll n;
     36     string k;
     37     while(cin>>n>>k)
     38     {
     39         cnt = 0;
     40         ll tmp = n, base;
     41         int len_of_n = 0, high;
     42         while(tmp)
     43         {
     44             len_of_n++;
     45             high = tmp%10;
     46             tmp/=10;
     47         }
     48         memset(dig, 0, sizeof(dig));
     49         tmp = 0, base = 1;
     50         for(int i = k.length()-1; i >= 0; i--)
     51         {
     52             if(k[i]=='0')
     53             {
     54                 int pos = i;
     55                 while(k[pos] == '0')pos--;
     56                 int num_of_zero = i-pos;
     57                 if(tmp!=0 && ((k[pos]-'0')*pow(10, num_of_zero+fun_len(tmp))+tmp>=n))dig[cnt++] = tmp;
     58                 else if(tmp!=0){
     59                     tmp = (k[pos]-'0')*pow(10, num_of_zero+fun_len(tmp))+tmp;
     60                     base = pow(10, fun_len(tmp));
     61                     i = pos;
     62                     if(i==0){dig[cnt++] = tmp; break;}
     63                     continue;
     64                 }
     65                 if(num_of_zero<len_of_n-1){
     66                     tmp = (k[pos]-'0')*pow(10, num_of_zero);
     67                     base = pow(10, num_of_zero+1);
     68                 }
     69                 else{
     70                     tmp = (k[pos]-'0')*pow(10, len_of_n-1);
     71                     int zero = num_of_zero-len_of_n+1;
     72                     if(tmp>=n){
     73                         tmp/=10;
     74                         zero++;
     75                     }
     76                     for(int j = 0; j < zero; j++)dig[cnt++] = 0;
     77                     base*=10;
     78                 }
     79                 if(pos == 0){dig[cnt++] = tmp; break;}
     80                 i = pos-1;
     81                 if(k[i] == '0'){i++;continue;}
     82             }
     83             if(tmp+base*(k[i]-'0')>=n)
     84             {
     85                 dig[cnt++] = tmp;
     86                 tmp = k[i]-'0';
     87                 base = 10;
     88             }else{
     89                 tmp += base*(k[i]-'0');
     90                 base*=10;
     91             } 
     92             if(i==0)dig[cnt++] = tmp;
     93         }
     94         ll ans = 0;
     95         base = 1;
     96         for(int i = 0; i < cnt; i++)
     97         {
     98             ans += base*dig[i];
     99             base*=n;
    100         }
    101         cout<<ans<<endl;
    102     }
    103 
    104     return 0;
    105 }
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  • 原文地址:https://www.cnblogs.com/Penn000/p/6337860.html
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