"Binary enumeration +lcs" Card Hand sorting topic description
When dealt cards in the card game plump it was a good idea-to-start by sorting the cards-hand by suit and rank. The different suits should be grouped and the ranks should is sorted within each suit. But the order of the suits does isn't matter and within each suit, the cards is sorted in either ascending or descending Order on rank. It is allowed for some suits to being sorted in ascending order and others in descending order.
Sorting is do by moving one card at a time from it current position to a new position in the hand, at the start, end, O R in between and adjacent cards. What's the smallest number of moves required to sort a given hand of cards?
Input
The. RST line of input contains a integer n (1≤n≤52), the number of cards in the hand. The second line contains n pairwise distinct space-separated cards, each represented by the characters. The. RST character of a card represents the rank and is either a digit from 2 to 9 or
One of the letters T, J, Q, K, and A representing Ten, Jack, Queen, King and Ace, respectively, given here in Increasi Ng order. The second character of a card is from the set {s, H, D, c} representing the suits spades?, Hearts?, Diamonds?, an D clubs?.
Output
Output the minimum number of card moves required to sort the hand as described above.
Sample input
7
9d as 2s Qd 2c Jd 8h
Sample output
2
Take a look, 52, uh. State compression brute force binary enumeration? Then, how to change ah, not. It's so hard ...
The game is over, LCS, yes, it will.
LCS almost can't write ... Embarrassed
Position is judged by the shift character.
#include <bits/stdc++.h>using namespace std; #define LL long longmap<char,int>mp;inline void Init () {for (int I=2;i<=9;++i) {mp[i+ ' 0 ']=i; } mp[' T ']=10; mp[' J ']=11; mp[' Q ']=12; mp[' K ']=13; mp[' A ']=14; mp[' s ']=0; mp[' h ']=1; mp[' d ']=2; mp[' C ']=3;} struct node{int id; int Val; int block; int k;} S[55];int dp[55],n;inline BOOL CMP (node X,node y) {if (X.K==Y.K) {return x.val<y.val; } return X.K<Y.K;} inline int LCS () {memset (dp,0,sizeof (DP)); int Ans=1; Dp[0]=1; for (int i=1;i<n;++i) {dp[i]=1; for (int j=0;j<i;++j) {if (s[i].id>s[j].id) {Dp[i]=max (dp[j]+1,dp[i]); }} Ans=max (Dp[i],ans); } return ans; int main () {init (); scanf ("%d", &n); Char str[3]; for (int i=0;i<n;++i) {scanf ("%s", str); S[i].val=mp[str[0]]; S[I].BLOCK=MP[STR[1]]; S[i].id=i; } int arr[4]={0,1,2,3},ans=1e9; do{for (int i=0;i≪16;++i) {for (int j=0;j<n;++j) {S[j].k=arr[s[j].block]; S[j].val=abs (S[j].val) * (((I>>S[J].K) &1)!=1?-1:1); } sort (s,s+n,cmp); Ans=min (Ans,n-lcs ()); }}while (Next_permutation (arr,arr+4));//full arrangement printf ("%d\n", ans); return 0;}
Binary Enumeration +lcs Card Hand sorting