38. Count and Say (String; DP)
The count-and-say sequence is the sequence of integers beginning as follows:1, 11, 21, 1211, 111221, ...
1
is read off as "one 1"
or 11
.11
is read off as "two 1s"
or 21
.21
is read off as "one 2
, then one 1"
or 1211
.
Given an integer n, generate the nth sequence.
Note: The sequence of integers will be represented as a string.
思路:序列问题,用动态规划存储上一个状态,从而能够推导出下一个元素
class Solution {
public:
string countAndSay(int n) {
string previous = "";
string current = "";
string tmp;
stringstream ss;
int times;
for(int i = ; i <= n; i++){ //从头开始推导序列中每个元素
for(int j = ; j < previous.length(); j++){ //遍历前一个元素中的每一位
times = ;
while(j+ < previous.length()&&previous[j+]==previous[j]){
times++;
j++;
}
ss.clear();
ss << times;
ss >> tmp;
current.append(tmp);
ss.clear();
ss << previous[j];
ss >> tmp;
current.append(tmp);
}
previous = current;
current = "";
}
return previous;
}
};
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