Submission #626415

#TimeUsernameProblemLanguageResultExecution timeMemory
626415TheLostCookieCatfish Farm (IOI22_fish)C++17
100 / 100
257 ms31784 KiB
#include <bits/stdc++.h> #include "fish.h" using namespace std; typedef long long int lli; typedef vector<lli> vi; typedef pair<int,int> ii; #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define ROF(i,a,b) for(int i=(b)-1;i>=(a);--i) #define pb push_back #define fi first #define se second #define all(v) begin(v),end(v) const int INF = 2e9; long long max_weights(int N, int M, std::vector<int> X, std::vector<int> Y, std::vector<int> W) { vi inc(M+N,0), dec(M+N,0); vector<pair<ii,lli>> ptw; FOR(i,0,M) ptw.pb({{X[i],Y[i]},W[i]}); FOR(i,0,N) ptw.pb({{i,INF},0}); sort(all(ptw)); vector<ii> pts; vector<lli> wts{0}; FOR(i,0,M+N) { pts.pb(ptw[i].fi); wts.pb(wts.back()+ptw[i].se); } //counts fish in [{x,y1},{x,y2}], inclusive of endpoints //uses two pointers for const op function<lli(lli,lli,lli,int&,int&)> countFish = [&] (lli x, lli y1, lli y2, int &l, int &r) { if(x<0||x>=N||y1>y2) return 0LL; else { while(l<int(pts.size())&&pts[l] < ii{x,y1}) l++; while(l>0 && pts[l-1] >= ii{x,y1}) l--; while(r<int(pts.size())&&pts[r] <= ii{x,y2}) r++; while(r>0 && pts[r-1] > ii{x,y2}) r--; return wts[r]-wts[l]; } }; int lPtr[2], rPtr[2]; FOR(i,0,N) { int l = lower_bound(all(pts), ii{i,0}) - begin(pts); int r = lower_bound(all(pts), ii{i+1,0}) - begin(pts); vector<vi> colInc(3,vi(r-l,0)); vi colDec(r-l,0); int p = lower_bound(all(pts), ii{i-2,0}) - begin(pts); lPtr[0] = rPtr[0] = lPtr[1] = rPtr[1] = lower_bound(all(pts), ii{i-1,0}) - begin(pts); FOR(j,l,r) { if(j>l) colInc[0][j-l]=max(colInc[0][j-l],colInc[0][j-1-l]); while(p<int(pts.size())&&pts[p].fi==i-2&&pts[p].se<=pts[j].se) { colInc[0][j-l]=max(colInc[0][j-l],dec[p]); p++; } } FOR(j,l,r) colInc[0][j-l] += countFish(i-1,0,pts[j].se-1,lPtr[0],rPtr[0]); p = lower_bound(all(pts), ii{i-2,0}) - begin(pts); while(p<int(pts.size())&&pts[p].fi==i-2) { colInc[1][0] = max(colInc[1][0],dec[p]+countFish(i-1,0,pts[p].se-1,lPtr[0],rPtr[0])),p++; } FOR(j,l+1,r) colInc[1][j-l] = max(colInc[1][j-l],colInc[1][j-1-l]); p = lower_bound(all(pts), ii{i-1,0}) - begin(pts); FOR(j,l,r) { if(j>l) colInc[2][j-l]=max(colInc[2][j-l],colInc[2][j-1-l]+countFish(i-1,pts[j-1].se,pts[j].se-1,lPtr[0],rPtr[0])); while(p<int(pts.size())&&pts[p].fi==i-1&&pts[p].se<=pts[j].se) { colInc[2][j-l]=max(colInc[2][j-l],inc[p]+countFish(i-1,pts[p].se,pts[j].se-1,lPtr[1],rPtr[1])); p++; } } p = lower_bound(all(pts), ii{i-1,INF}) - begin(pts); lPtr[0] = rPtr[0] = lower_bound(all(pts), ii{i+1,0}) - begin(pts); ROF(j,l,r) { if(i>0&&j<r-1) colDec[j-l]=max(colDec[j-l],colDec[j+1-l]+ptw[j].se); while(p>=0&&pts[p].fi==i-1&&pts[p].se>=pts[j].se) { colDec[j-l]=max(colDec[j-l],dec[p]+countFish(i,pts[j].se,pts[p].se-1,lPtr[0],rPtr[0])); p--; } } FOR(j,l,r) { FOR(k,0,3) { inc[j] = max(inc[j],colInc[k][j-l]); } dec[j] = max(dec[j],colDec[j-l]); } dec[r-1] = max(inc[r-1],dec[r-1]); } lli ans = max(*max_element(all(inc)),*max_element(all(dec))); return ans; }
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