Question: give you a sum, then give you a n, then give you n, and then find some numbers from n, so that the sum of these numbers is n. The number of n given is decreasing, so that the output result is also output in the form of decreasing.
Idea: Because n is at most 12, it is obvious that all situations can be searched brute force, and then the sum can be determined. If sum is used, the output can be used. Note the following two points: first, there is a deduplication process. My processing is to store all the appropriate values in a vector, then find the appropriate de-vector to judge whether it is repeated with a specific one by one. If they are not repeated, it will match the meaning of the question and record this to the vector. Because the final output is from large to small, I used a struct to save the answer, and finally sorted the struct in the lower order. Then, the positive solution is obtained.
Code:
[Cpp]
# Include <iostream>
# Include <string. h>
# Include <cstdio>
# Include <algorithm>
# Include <vector>
Using namespace std;
# Define CLR (arr, val) memset (arr, val, sizeof (arr ))
Struct add {
Int ans [15];
Int size;
} Aa [1, 100005];
Int num [15], flag [15], num2 [15], sum, n, numvv, numaa;
Bool isok;
Vector <int> vv [5005];
Bool fun (int cnt ){
Bool is = false;
For (int I = 0; I <numvv; ++ I ){
Is = false;
If (vv [I]. size () = cnt ){
For (int j = 0; j <vv [I]. size (); ++ j ){
If (num2 [j]! = Vv [I] [j]) {
Is = true;
Break;
}
}
If (! Is)
Return false;
}
}
Return true;
}
Void dfs (int begin, int id, int cnt ){
If (id = cnt ){
Int ss = 0;
For (int I = 0; I <cnt; ++ I)
Ss + = num2 [I];
If (ss = sum & fun (cnt )){
Isok = true;
Aa [numaa]. size = cnt;
For (int I = 0; I <cnt; ++ I ){
Aa [numaa]. ans [I] = num2 [I];
}
Numaa ++;
For (int I = 0; I <cnt; ++ I ){
Vv [numvv]. push_back (num2 [I]);
}
Numvv ++;
}
Return;
}
For (int I = begin; I <n; ++ I ){
If (! Flag [I]) {
Num2 [id] = num [I];
Flag [I] = true;
Dfs (I, id + 1, cnt );
Flag [I] = false;
}
}
}
Bool cmp (add a, add B ){
For (int I = 0; I <13; ++ I ){
If (a. ans [I]> B. ans [I])
Return true;
Else if (a. ans [I] <B. ans [I])
Return false;
}
}
Int main (){
// Freopen ("1.txt"," r ", stdin );
While (scanf ("% d", & sum, & n ){
CLR (num, 0 );
CLR (flag, 0 );
CLR (vv, 0 );
Numvv = 0;
Numaa = 0;
For (int I = 0; I <n; ++ I)
Scanf ("% d", & num [I]);
Isok = false;
Printf ("Sums of % d: \ n", sum );
For (int I = 1; I <= n; ++ I ){
CLR (flag, 0 );
CLR (num2, 0 );
Dfs (0, 0, I );
}
If (! Isok)
Printf ("NONE \ n ");
Else {www.2cto.com
Sort (aa, aa + numaa, cmp );
For (int I = 0; I <numaa; ++ I ){
Int len = aa [I]. size;
For (int j = 0; j <aa [I]. size-1; ++ j ){
Printf ("% d +", aa [I]. ans [j]);
}
Printf ("% d \ n", aa [I]. ans [len-1]);
}
}
}
Return 0;
}
Author: wmn_wmn