#include <vector>
#include <iostream>
#include <sstream>
#include <math.h>
#include <sys/time.h>
#include <cstdlib>
#include <algorithm>
#include <cassert>
#include <cstring>
#include <fstream>
#include <set>
#include <map>
#include <iomanip>
#include <queue>
#include <numeric>
#define FOR(i,a,b) for(__typeof(b) i=(a);i<(b);++i)
#define REP(i,a) FOR(i,0,a)
#define FOREACH(x,c) for(__typeof(c.begin()) x=c.begin();x != c.end(); x++)
#define ALL(c) c.begin(),c.end()
#define CLEAR(c) memset(c,0,sizeof(c))
#define SIZE(c) (int) ((c).size())
#define PB push_back
#define MP make_pair
#define X first
#define Y second
#define ULL unsigned long long
#define LL long long
#define LD long double
#define II pair<int, int>
#define DD pair<double, double>
#define FF pair<float,float>
#define VC vector
#define VI VC<int>
#define VVI VC<VI>
#define VVVI VC<VVI>
#define VD VC<double>
#define VS VC<string>
#define VII VC<II>
#define VDD VC<DD>
#define VFF VC<FF>
#define VVD VC<VD>
#define VVVD VC<VVD>
#define VULL VC<ULL>
#define VLL VC<LL>
#define VVLL VC<VLL>
#define DB(a) cerr << #a << ": " << a << endl;
using namespace std;
template<class T> void print(VC < T > v) {cerr << "[";if (SIZE(v) != 0) cerr << v[0]; FOR(i, 1, SIZE(v)) cerr << "," << v[i]; cerr << "]\n";}
template<class T> string i2s(T &x) { ostringstream o; o << x; return o.str(); }
VS split(string &s, char c = ' ') {VS all; int p = 0, np; while (np = s.find(c, p), np >= 0) {all.PB(s.substr(p, np - p)); p = np + 1;} if (p < SIZE(s)) all.PB(s.substr(p)); return all;}
VVLL p;
VLL Tdec;
VLL Tinc;
int n,m,k;
void read_data(){
cin >> n >> m >> k;
p = VVLL(n,VLL(m));
REP(i,n) REP(j,m)
cin >> p[i][j];
Tdec = VLL(n*m+1,0);
Tinc = VLL(n*m+1,0);
}
void solve_decreasing(){
VLL sorted;
sorted.reserve(n*m);
for(int i=0; i < SIZE(p);)
if (SIZE(p[i]) == 1 || p[i].back() <= p[i][0]){
sorted.insert(sorted.end(),ALL(p[i]));
p[i].swap(p.back());
p.pop_back();
n--;
} else
i++;
sort(ALL(sorted));
reverse(ALL(sorted));
REP(i,SIZE(sorted))
Tdec[i+1] = Tdec[i] + sorted[i];
}
void solve_increasing(){
// computing sums and sorting by them
VC<pair<LL,int>> order(n);
REP(i,n) order[i] = MP(std::accumulate(ALL(p[i]),0LL),i);
sort(ALL(order));
reverse(ALL(order));
VVLL p2(n);
REP(i,n)
p2[i].swap(p[order[i].Y]);
p.swap(p2);
VLL fullStacks(n+1,0LL);
REP(i,n)
fullStacks[i+1] = fullStacks[i] + order[i].X;
VLL topkm(n,0LL);
VLL prefMax(n+1,0LL);
VLL sufMax(n,0LL);
REP(km,m){
prefMax[1] = topkm[0]-order[0].X;
FOR(i,2,n)
prefMax[i] = max(prefMax[i-1],topkm[i-1]-order[i-1].X);
sufMax[n-1] = topkm[n-1];
for(int i=n-2; i>=0; i--)
sufMax[i] = max(sufMax[i+1],topkm[i]);
//cout << "km = " << km << endl;
//cout << "pref = "; REP(i,n) cout << prefMax[i] << " "; cout << endl;
//cout << "suf = "; REP(i,n) cout << sufMax[i] << " "; cout << endl;
REP(kd,n){
LL val = 0;
if (kd>0)
val = max(val,fullStacks[kd+1]+prefMax[kd]);
val = max(val,fullStacks[kd]+sufMax[kd]);
Tinc[m*kd+km] = val;
}
REP(i,n)
topkm[i] += p[i][km];
}
Tinc[m*n] = fullStacks[n];
}
long long solve(){
LL M = 0;
REP(i,k+1)
M = max(M,Tinc[i]+Tdec[k-i]);
return M;
}
int main(int argc, char *argv[]){
read_data();
solve_decreasing();
if (n > 0)
solve_increasing();
solve();
cout << solve() << endl;
return 0;
}
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 | #include <vector> #include <iostream> #include <sstream> #include <math.h> #include <sys/time.h> #include <cstdlib> #include <algorithm> #include <cassert> #include <cstring> #include <fstream> #include <set> #include <map> #include <iomanip> #include <queue> #include <numeric> #define FOR(i,a,b) for(__typeof(b) i=(a);i<(b);++i) #define REP(i,a) FOR(i,0,a) #define FOREACH(x,c) for(__typeof(c.begin()) x=c.begin();x != c.end(); x++) #define ALL(c) c.begin(),c.end() #define CLEAR(c) memset(c,0,sizeof(c)) #define SIZE(c) (int) ((c).size()) #define PB push_back #define MP make_pair #define X first #define Y second #define ULL unsigned long long #define LL long long #define LD long double #define II pair<int, int> #define DD pair<double, double> #define FF pair<float,float> #define VC vector #define VI VC<int> #define VVI VC<VI> #define VVVI VC<VVI> #define VD VC<double> #define VS VC<string> #define VII VC<II> #define VDD VC<DD> #define VFF VC<FF> #define VVD VC<VD> #define VVVD VC<VVD> #define VULL VC<ULL> #define VLL VC<LL> #define VVLL VC<VLL> #define DB(a) cerr << #a << ": " << a << endl; using namespace std; template<class T> void print(VC < T > v) {cerr << "[";if (SIZE(v) != 0) cerr << v[0]; FOR(i, 1, SIZE(v)) cerr << "," << v[i]; cerr << "]\n";} template<class T> string i2s(T &x) { ostringstream o; o << x; return o.str(); } VS split(string &s, char c = ' ') {VS all; int p = 0, np; while (np = s.find(c, p), np >= 0) {all.PB(s.substr(p, np - p)); p = np + 1;} if (p < SIZE(s)) all.PB(s.substr(p)); return all;} VVLL p; VLL Tdec; VLL Tinc; int n,m,k; void read_data(){ cin >> n >> m >> k; p = VVLL(n,VLL(m)); REP(i,n) REP(j,m) cin >> p[i][j]; Tdec = VLL(n*m+1,0); Tinc = VLL(n*m+1,0); } void solve_decreasing(){ VLL sorted; sorted.reserve(n*m); for(int i=0; i < SIZE(p);) if (SIZE(p[i]) == 1 || p[i].back() <= p[i][0]){ sorted.insert(sorted.end(),ALL(p[i])); p[i].swap(p.back()); p.pop_back(); n--; } else i++; sort(ALL(sorted)); reverse(ALL(sorted)); REP(i,SIZE(sorted)) Tdec[i+1] = Tdec[i] + sorted[i]; } void solve_increasing(){ // computing sums and sorting by them VC<pair<LL,int>> order(n); REP(i,n) order[i] = MP(std::accumulate(ALL(p[i]),0LL),i); sort(ALL(order)); reverse(ALL(order)); VVLL p2(n); REP(i,n) p2[i].swap(p[order[i].Y]); p.swap(p2); VLL fullStacks(n+1,0LL); REP(i,n) fullStacks[i+1] = fullStacks[i] + order[i].X; VLL topkm(n,0LL); VLL prefMax(n+1,0LL); VLL sufMax(n,0LL); REP(km,m){ prefMax[1] = topkm[0]-order[0].X; FOR(i,2,n) prefMax[i] = max(prefMax[i-1],topkm[i-1]-order[i-1].X); sufMax[n-1] = topkm[n-1]; for(int i=n-2; i>=0; i--) sufMax[i] = max(sufMax[i+1],topkm[i]); //cout << "km = " << km << endl; //cout << "pref = "; REP(i,n) cout << prefMax[i] << " "; cout << endl; //cout << "suf = "; REP(i,n) cout << sufMax[i] << " "; cout << endl; REP(kd,n){ LL val = 0; if (kd>0) val = max(val,fullStacks[kd+1]+prefMax[kd]); val = max(val,fullStacks[kd]+sufMax[kd]); Tinc[m*kd+km] = val; } REP(i,n) topkm[i] += p[i][km]; } Tinc[m*n] = fullStacks[n]; } long long solve(){ LL M = 0; REP(i,k+1) M = max(M,Tinc[i]+Tdec[k-i]); return M; } int main(int argc, char *argv[]){ read_data(); solve_decreasing(); if (n > 0) solve_increasing(); solve(); cout << solve() << endl; return 0; } |
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