Sicily 1029. Rabbit

高精度加法+简单推理。
// Problem#: 1029
// Submission#: 2198305
// The source code is licensed under Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License
// URI: http://creativecommons.org/licenses/by-nc-sa/3.0/
// All Copyright reserved by Informatic Lab of Sun Yat-sen University
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
#include 
using namespace std;

string bigIntAdd(string s1, string s2){
    string ans = "";
    if(s1.length() < s2.length())
        swap(s1, s2);
    int len = s1.size()-s2.size();
    for(int i = 0; i < len; i++)
        s2 = '0' + s2;

    int tmp1, tmp2, res, carry = 0;
    for(int i = s1.size()-1; i >=0; i--){
        tmp1 = s1[i]-'0', tmp2 = s2[i]-'0';
        res = (tmp1+tmp2+carry)%10;
        carry = (tmp1+tmp2+carry)/10;
        ans = char(res +'0') + ans;
        if(i == 0 && carry != 0)
            ans = '1' + ans;
    }
    return ans;
}
int main(){
   int m, d;
   while(cin >> m >> d && m && d){
        string res[105];
        res[0] = "1";
        for(int i = 1; i <= d; i++){
            if(i < m)
                res[i] = bigIntAdd(res[i-1], "1");
            else
                res[i] = bigIntAdd(res[i-1], res[i-m]);
            //cout << res[i] << endl;
        }
        cout << res[d] <

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