File size: 4,016 Bytes
ab396f0 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 |
// The Claw
// 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 2100000
PR P[LIM],R[LIM],S[LIM];
vector<int> YP[LIM];
vector<PR> YR[LIM];
int sz;
int tree[LIM],lazy[LIM];
void Prop(int i)
{
tree[i]+=lazy[i];
if (i<sz)
{
lazy[i<<1]+=lazy[i];
lazy[(i<<1)+1]+=lazy[i];
}
lazy[i]=0;
}
void Update(int i,int r1,int r2,int a,int b,int v)
{
Prop(i);
if ((a<=r1) && (r2<=b))
{
lazy[i]+=v;
Prop(i);
return;
}
int c=i<<1,m=(r1+r2)>>1;
if (a<=m)
Update(c,r1,m,a,b,v);
if (b>m)
Update(c+1,m+1,r2,a,b,v);
Prop(c),Prop(c+1);
tree[i]=max(tree[c],tree[c+1]);
}
int main()
{
if (DEBUG)
freopen("in.txt","r",stdin);
// vars
int T,t;
int N,M,K;
int i,j,k,s,y,a,b,p,d;
LL ans;
// testcase loop
Read(T);
Fox1(t,T)
{
// init
Fox(i,LIM)
YP[i].clear(),YR[i].clear();
// input
Read(N),Read(M);
ans=M;
Fox(i,N)
{
Read(P[i].x),Read(P[i].y);
ans-=P[i].y;
YP[P[i].y].pb(P[i].x);
if (i)
R[i-1]=mp(max(P[i-1].x,P[i].x),min(P[i-1].x,P[i].x));
}
// associate intervals with their max contained heights
sort(P,P+N);
sort(R,R+N-1);
j=s=0;
Fox(i,N-1)
{
a=R[i].y,b=R[i].x;
// maintain convex hull of max heights so far
while ((j<N) && (P[j].x<=b))
{
while ((s) && (S[s-1].y<=P[j].y))
s--;
S[s++]=P[j++];
}
// binary search for max height no earlier than the start of this interval
k=lower_bound(S,S+s,mp(a,0))-S;
ans+=(y=S[k].y)+1;
YR[y].pb(R[i]);
}
// process set of targets at each height
Fox(i,LIM)
if (K=Sz(YP[i]))
{
// sort targets/intervals at this height
sort(All(YP[i]));
sort(All(YR[i]));
// segment-tree-assisted DP
for(sz=1;sz<K+1;sz<<=1);
memset(tree,0,sizeof(int)*sz*2);
memset(lazy,0,sizeof(int)*sz*2);
k=0,d=-1;
Fox(j,K+1)
{
// update prior DP values for intervals ending at this target
p=j==K ? INF : YP[i][j];
while ((k<Sz(YR[i])) && (YR[i][k].x<p))
{
a=lower_bound(All(YP[i]),YR[i][k++].y)-YP[i].begin();
Update(1,0,sz-1,0,a,1);
}
// compute DP value
d=max(d+1,tree[1]);
Update(1,0,sz-1,j,j,d);
}
ans-=d;
}
// output
printf("Case #%d: %lld\n",t,ans*2);
}
return(0);
} |