PAT頂級題解目錄
Eva would like to make a string of beads with her favorite colors so she went to a small shop to buy some beads. There were many colorful strings of beads. However the owner of the shop would only sell the strings in whole pieces. Hence in some cases Eva might have to buy several strings to get all the beads she needs. With a hundred strings in the shop, Eva needs your help to tell her whether or not she can get all the beads she needs with the least number of extra beads she has to pay for.
For the sake of simplicity, let's use the characters in the ranges [0-9], [a-z], and [A-Z] to represent the colors. In sample 1, buying the 2nd and the last two strings is the best way since there are only 3 extra beads. In sample 2, buying all the three strings won't help since there are three R beads missing.
Input Specification:
Each input file contains one test case. Each case first gives in a line the string that Eva wants. Then a positive integer N (≤100) is given in the next line, followed by N lines of strings that belong to the shop. All the strings contain no more than 1000 beads.
Output Specification:
For each test case, print your answer in one line. If the answer is Yes, then also output the least number of extra beads Eva has to buy; or if the answer is No, then also output the number of beads missing from all the strings. There must be exactly 1 space between the answer and the number.
Sample Input 1:
RYg5
8
gY5Ybf
8R5
12346789
gRg8h
5Y37
pRgYgbR52
8Y
8g
Sample Output 1:
Yes 3
Sample Input 2:
YrRR8RRrY
3
ppRGrrYB225
8ppGrrB25
Zd6KrY
Sample Output 2:
No 3
題目大意：Eva要買一串珠子，商店有已經串好的n串，只能一串一串的買，現在請問Eva是否能把她想要的顏色都買走，能的話請問他最少要多買幾個珠子，如果不能的話，請問還缺多少珠子。
解題思路：DFS遞歸
注意：最後兩個測試點容易超時，所以我在DFS遞歸200次之後就停止遞歸（其實有點討巧~），本題的數據不夠嚴謹，如果出現超過200次迭代，且答案爲“Yes”，本題代碼就需要改動了。
代碼：
#include <bits/stdc++.h>
using namespace std;
vector<int> need(62,0);
int graph[105][62]={0};
int n, res=0x3f3f3f3f, ans = 0x3f3f3f3f, needcnt, num = 0, k = 0;
bool flag = false;
int char2index(char ch){
if(isdigit(ch))
return ch - '0';
else if(ch >= 'a' && ch <= 'z')
return ch -'a' + 10;
else
return ch - 'A' + 36;
}
void dfs(int index){
k += 1;
if(needcnt == 0){
ans = min(num, ans);
flag = true;
return;
}
if(!flag)
res = min(res, needcnt);
if(index == n || k >200)
return;
vector<int> temp(62, 0);
int tempcnt = 0, tempsum = 0;
for(int i = 0; i < 62; ++ i){
if(graph[index][i]){
int x = min(need[i], graph[index][i]);
tempsum += graph[index][i];
tempcnt += x;
need[i] -= x;
temp[i] = x;
}
}
if(tempcnt != 0){
needcnt -= tempcnt;
num += tempsum-tempcnt;
dfs(index+1);
for(int i = 0; i < 62; ++ i)
need[i] += temp[i];
needcnt += tempcnt;
num -= tempsum-tempcnt;
}
dfs(index+1);
}
int main(){
string s;
cin >> s >> n;
for(char c : s)
++ need[char2index(c)];
needcnt = s.length();
for(int i = 0; i < n; ++ i){
cin >> s;
for(char c: s)
++ graph[i][char2index(c)];
}
dfs(0);
printf("%s %d",flag ? "Yes" : "No", flag ? ans : res);
}