2019/round2/grading.cpp

// Grading
// Solution by Jacob Plachta

#define DEBUG 0

#include <algorithm>
#include <functional>
#include <numeric>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <complex>
#include <cstdlib>
#include <ctime>
#include <cstring>
#include <cassert>
#include <string>
#include <vector>
#include <list>
#include <map>
#include <set>
#include <deque>
#include <queue>
#include <stack>
#include <bitset>
#include <sstream>
using namespace std;

#define LL long long
#define LD long double
#define PR pair<int,int>

#define Fox(i,n) for (i=0; i<n; i++)
#define Fox1(i,n) for (i=1; i<=n; i++)
#define FoxI(i,a,b) for (i=a; i<=b; i++)
#define FoxR(i,n) for (i=(n)-1; i>=0; i--)
#define FoxR1(i,n) for (i=n; i>0; i--)
#define FoxRI(i,a,b) for (i=b; i>=a; i--)
#define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++)
#define Min(a,b) a=min(a,b)
#define Max(a,b) a=max(a,b)
#define Sz(s) int((s).size())
#define All(s) (s).begin(),(s).end()
#define Fill(s,v) memset(s,v,sizeof(s))
#define pb push_back
#define mp make_pair
#define x first
#define y second

template<typename T> T Abs(T x) { return(x<0 ? -x : x); }
template<typename T> T Sqr(T x) { return(x*x); }
string plural(string s) { return(Sz(s) && s[Sz(s)-1]=='x' ? s+"en" : s+"s"); }

const int INF = (int)1e9;
const LD EPS = 1e-12;
const LD PI = acos(-1.0);

#if DEBUG
#define GETCHAR getchar
#else
#define GETCHAR getchar_unlocked
#endif

bool Read(int &x)
{
	char c,r=0,n=0;
	x=0;
		for(;;)
		{
			c=GETCHAR();
				if ((c<0) && (!r))
					return(0);
				if ((c=='-') && (!r))
					n=1;
				else
				if ((c>='0') && (c<='9'))
					x=x*10+c-'0',r=1;
				else
				if (r)
					break;
		}
		if (n)
			x=-x;
	return(1);
}

#define LIM 302
#define LIM2 90001

int H,S,K;
char P[LIM][LIM];

// dyn[i][s][p] = min discards for at most s context switches in the first i papers in stack,
// with current paper type being p
int dyn[LIM][LIM][2];

// minD[f][s] = min total discards for at most s context switches assuming first paper type is f
int minD[2][LIM];

// ans[d] = min total context switches for at most d discards
int ans[LIM2];

int main()
{
		if (DEBUG)
			freopen("in.txt","r",stdin);
	// vars
	int T,t;
	int i,j,f,s,p,d;
	// testcase loop
	Read(T);
		Fox1(t,T)
		{
			// input
			Read(H),Read(S),Read(K);
				Fox(i,H)
					scanf("%s",&P[i]);
			// DP on each stack
			Fill(minD,0);
				Fox(f,2)
					Fox(j,S)
					{
						Fill(dyn,60);
							Fox(s,H+1)
								dyn[0][s][f]=0;
							Fox(i,H)
								Fox(s,H+1)
									Fox(p,2)
									{
										d=dyn[i][s][p];
										int p2=P[i][j]-'A';
										Min(dyn[i+1][s+(p2==p ? 0 : 1)][p2],d); // grade
										Min(dyn[i+1][s][p],d+1); // discard
									}
							Fox(s,H+1)
								minD[f][s]+=min(dyn[H][s][0],dyn[H][s][1]);
					}
			// compute answers
			Fill(ans,60);
				Fox(f,2)
					Fox(s,H+1)
						Min(ans[minD[f][s]],s);
				Fox(d,H*S)
					Min(ans[d+1],ans[d]);
			// process queries
			printf("Case #%d:",t);
				while (K--)
				{
					Read(d);
					printf(" %d",ans[d]+1);
				}
			printf("\n");
		}
	return(0);
}