#include <bits/stdc++.h>
using namespace std;
#define PB push_back
#define LL long long
#define int LL
#define FOR(i,a,b) for (int i = (a); i <= (b); i++)
#define FORD(i,a,b) for (int i = (a); i >= (b); i--)
#define REP(i,n) FOR(i,0,(int)(n)-1)
#define st first
#define nd second
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((int)(x).size())
#define VI vector<int>
#define PII pair<int,int>
#define LD long double
template<class C> void mini(C& a4, C b4) { a4 = min(a4, b4); }
template<class C> void maxi(C& a4, C b4) { a4 = max(a4, b4); }
template<class TH> void _dbg(const char *sdbg, TH h){cerr<<sdbg<<"="<<h<<"\n";}
template<class TH, class... TA> void _dbg(const char *sdbg, TH h, TA... a) {
while(*sdbg!=',')cerr<<*sdbg++;
cerr<<"="<<h<<","; _dbg(sdbg+1, a...);
}
template<class T> ostream &operator<<(ostream &os, vector<T> V){
os<<"[";for(auto vv:V)os<<vv<<",";return os<<"]";
}
template<class L, class R> ostream &operator<<(ostream &os, pair<L,R> P) {
return os << "(" << P.st << "," << P.nd << ")";
}
#ifdef LOCAL
#define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) (__VA_ARGS__)
#define cerr if(0)cout
#endif
int32_t main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, m, k;
cin >> n >> m >> k;
vector<VI> stacks(n, VI(m));
REP(i, n) {
REP(j, m) {
cin >> stacks[i][j];
}
}
VI desc_pool;
vector<VI> asc_pref;
VI asc_total;
REP(i, n){
bool ascending = (m >= 2 && stacks[i][0] < stacks[i][m-1]);
if(!ascending){
REP(j, m) desc_pool.push_back(stacks[i][j]);
} else {
VI ps(m+1, 0);
REP(j, m) ps[j+1] = ps[j] + stacks[i][j];
asc_pref.push_back(ps);
asc_total.push_back(ps[m]);
}
}
sort(ALL(desc_pool), greater<int>());
int D = desc_pool.size();
VI desc_ps(D+1, 0);
REP(i, D) desc_ps[i+1] = desc_ps[i] + desc_pool[i];
int A = asc_total.size();
vector<PII> asc_ord(A);
REP(i, A) asc_ord[i] = {-asc_total[i], i};
sort(ALL(asc_ord));
VI sorted_total(A);
VI rank_of(A);
REP(i, A){
sorted_total[i] = asc_total[asc_ord[i].nd];
rank_of[asc_ord[i].nd] = i;
}
VI asc_ps(A+1, 0);
REP(i, A) asc_ps[i+1] = asc_ps[i] + sorted_total[i];
int ans = 0;
REP(ii, A){
int r = rank_of[ii];
for(int p = 1; p < m; p++){
if(p > k) break;
int pval = asc_pref[ii][p];
int budget = k - p;
if(budget < 0) continue;
int max_full = A - 1;
int a_max = min(max_full, budget / m);
int a_min = 0;
if(budget > D)
a_min = (budget - D + m - 1) / m;
if(a_min > a_max) continue;
int lo = a_min, hi = a_max;
while(hi - lo > 2){
int m1 = lo + (hi - lo) / 3;
int m2 = hi - (hi - lo) / 3;
int rem1 = budget - m1 * m, rem2 = budget - m2 * m;
int v1 = (m1 <= r ? asc_ps[m1] : asc_ps[m1+1] - sorted_total[r]) + pval + desc_ps[rem1];
int v2 = (m2 <= r ? asc_ps[m2] : asc_ps[m2+1] - sorted_total[r]) + pval + desc_ps[rem2];
if(v1 < v2) lo = m1; else hi = m2;
}
FOR(a, lo, hi){
int rem = budget - a * m;
int v = (a <= r ? asc_ps[a] : asc_ps[a+1] - sorted_total[r]) + pval + desc_ps[rem];
maxi(ans, v);
}
}
}
{
int budget = k;
int a_max = min(A, budget / m);
int a_min = 0;
if(budget > D)
a_min = (budget - D + m - 1) / m;
if(a_min <= a_max){
int lo = a_min, hi = a_max;
while(hi - lo > 2){
int m1 = lo + (hi - lo) / 3;
int m2 = hi - (hi - lo) / 3;
int v1 = asc_ps[m1] + desc_ps[budget - m1 * m];
int v2 = asc_ps[m2] + desc_ps[budget - m2 * m];
if(v1 < v2) lo = m1; else hi = m2;
}
FOR(a, lo, hi){
maxi(ans, asc_ps[a] + desc_ps[budget - a * m]);
}
}
}
cout << ans << "\n";
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 | #include <bits/stdc++.h> using namespace std; #define PB push_back #define LL long long #define int LL #define FOR(i,a,b) for (int i = (a); i <= (b); i++) #define FORD(i,a,b) for (int i = (a); i >= (b); i--) #define REP(i,n) FOR(i,0,(int)(n)-1) #define st first #define nd second #define ALL(x) (x).begin(), (x).end() #define SZ(x) ((int)(x).size()) #define VI vector<int> #define PII pair<int,int> #define LD long double template<class C> void mini(C& a4, C b4) { a4 = min(a4, b4); } template<class C> void maxi(C& a4, C b4) { a4 = max(a4, b4); } template<class TH> void _dbg(const char *sdbg, TH h){cerr<<sdbg<<"="<<h<<"\n";} template<class TH, class... TA> void _dbg(const char *sdbg, TH h, TA... a) { while(*sdbg!=',')cerr<<*sdbg++; cerr<<"="<<h<<","; _dbg(sdbg+1, a...); } template<class T> ostream &operator<<(ostream &os, vector<T> V){ os<<"[";for(auto vv:V)os<<vv<<",";return os<<"]"; } template<class L, class R> ostream &operator<<(ostream &os, pair<L,R> P) { return os << "(" << P.st << "," << P.nd << ")"; } #ifdef LOCAL #define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__) #else #define debug(...) (__VA_ARGS__) #define cerr if(0)cout #endif int32_t main(){ ios_base::sync_with_stdio(0); cin.tie(0); int n, m, k; cin >> n >> m >> k; vector<VI> stacks(n, VI(m)); REP(i, n) { REP(j, m) { cin >> stacks[i][j]; } } VI desc_pool; vector<VI> asc_pref; VI asc_total; REP(i, n){ bool ascending = (m >= 2 && stacks[i][0] < stacks[i][m-1]); if(!ascending){ REP(j, m) desc_pool.push_back(stacks[i][j]); } else { VI ps(m+1, 0); REP(j, m) ps[j+1] = ps[j] + stacks[i][j]; asc_pref.push_back(ps); asc_total.push_back(ps[m]); } } sort(ALL(desc_pool), greater<int>()); int D = desc_pool.size(); VI desc_ps(D+1, 0); REP(i, D) desc_ps[i+1] = desc_ps[i] + desc_pool[i]; int A = asc_total.size(); vector<PII> asc_ord(A); REP(i, A) asc_ord[i] = {-asc_total[i], i}; sort(ALL(asc_ord)); VI sorted_total(A); VI rank_of(A); REP(i, A){ sorted_total[i] = asc_total[asc_ord[i].nd]; rank_of[asc_ord[i].nd] = i; } VI asc_ps(A+1, 0); REP(i, A) asc_ps[i+1] = asc_ps[i] + sorted_total[i]; int ans = 0; REP(ii, A){ int r = rank_of[ii]; for(int p = 1; p < m; p++){ if(p > k) break; int pval = asc_pref[ii][p]; int budget = k - p; if(budget < 0) continue; int max_full = A - 1; int a_max = min(max_full, budget / m); int a_min = 0; if(budget > D) a_min = (budget - D + m - 1) / m; if(a_min > a_max) continue; int lo = a_min, hi = a_max; while(hi - lo > 2){ int m1 = lo + (hi - lo) / 3; int m2 = hi - (hi - lo) / 3; int rem1 = budget - m1 * m, rem2 = budget - m2 * m; int v1 = (m1 <= r ? asc_ps[m1] : asc_ps[m1+1] - sorted_total[r]) + pval + desc_ps[rem1]; int v2 = (m2 <= r ? asc_ps[m2] : asc_ps[m2+1] - sorted_total[r]) + pval + desc_ps[rem2]; if(v1 < v2) lo = m1; else hi = m2; } FOR(a, lo, hi){ int rem = budget - a * m; int v = (a <= r ? asc_ps[a] : asc_ps[a+1] - sorted_total[r]) + pval + desc_ps[rem]; maxi(ans, v); } } } { int budget = k; int a_max = min(A, budget / m); int a_min = 0; if(budget > D) a_min = (budget - D + m - 1) / m; if(a_min <= a_max){ int lo = a_min, hi = a_max; while(hi - lo > 2){ int m1 = lo + (hi - lo) / 3; int m2 = hi - (hi - lo) / 3; int v1 = asc_ps[m1] + desc_ps[budget - m1 * m]; int v2 = asc_ps[m2] + desc_ps[budget - m2 * m]; if(v1 < v2) lo = m1; else hi = m2; } FOR(a, lo, hi){ maxi(ans, asc_ps[a] + desc_ps[budget - a * m]); } } } cout << ans << "\n"; return 0; } |
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