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// Railroad Renovations
// Solution by Jacob Plachta
#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 <unordered_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);
#define GETCHAR getchar_unlocked
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 501
int N, K;
pair<int, PR> O[LIM];
// dyn[i][j] = min. renovations after first i observations (by position),
// with j rearrangements
int dyn[LIM][LIM];
int ProcessCase()
{
int i, j, k;
// input
Read(N), Read(K);
Fox(i, N)
{
Read(O[i].x), Read(O[i].y.y);
O[i].y.x = i;
}
// sort observations by position
sort(O, O + N);
// DP
Fill(dyn, 60);
dyn[0][0] = 0;
Fox(i, N)
{
// can start interval here?
if (i - 1 >= 0 && O[i].x == O[i - 1].x)
continue;
// consider all intervals starting here
int C[2] = { 0 };
set <PR> S;
FoxI(j, i, N - 1)
{
// update interval info
S.insert(O[j].y);
C[O[j].y.y]++;
// can end interval here?
if (j + 1 < N && O[j].x == O[j + 1].x)
continue;
// compute min. cost for this interval (all 0s before all 1s)
int cst = min(C[0], C[1]);
int pc[2] = { 0 };
for (auto o : S) // consider all 0-1 splitting points
{
pc[o.y]++;
Min(cst, pc[1] + C[0] - pc[0]);
}
// update DP values
FoxI(k, cst, K)
Min(dyn[j + 1][k], dyn[i][k - cst] + (C[1] > 0));
}
}
// compute answer
int ans = INF;
Fox(k, K + 1)
Min(ans, dyn[N][k]);
return(ans == INF ? -1 : ans);
}
int main()
{
int T, t;
Read(T);
Fox1(t, T)
printf("Case #%d: %d\n", t, ProcessCase());
return(0);
} |