| # | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
|---|---|---|---|---|---|---|---|
| 1290382 | leehoang | Topical (NOI23_topical) | C++20 | 363 ms | 190028 KiB |
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define fi first
#define se second
#define pb push_back
#define ii pair<int,int>
#define int long long
#define TASK "tropical"
const int maxn = 1e6+5;
const int mod = 1e9+7;
int n,k;
vector<vector<int>> r,u;
vector<int> p;
namespace trau{
vector<int> d;
void solve(){
d.assign(n+5,0);
int res = 0;
while (1){
bool ok = 0;
for (int i = 1;i<=n;i++){
int cnt = 0;
if (!d[i]){
for (int j = 1;j<=k;j++){
if (p[j]>=r[i][j]) cnt++;
}
if (cnt == k){
ok = 1;
for (int j = 1;j<=k;j++){
p[j]+=u[i][j];
}
res++;
d[i] = 1;
}
}
}
if (!ok) break;
}
cout << res;
}
}
namespace sub3{
vector<ii> a;
void solve(){
for (int i = 1;i<=n;i++) a.pb({r[i][1],u[i][1]});
sort(a.begin(),a.end());
int l = 0;
int cnt = 0;
int cur = 0;
for (int i = 0;i<n;i++){
if (a[i].fi <= cur){
cur+=a[i].se;
cnt++;
}
else break;
}
cout << cnt;
}
}
namespace subac{
vector<int> cnt;
vector<vector<ii>> s;
vector<int> t;
void solve(){
cnt.assign(n+5,0);
s.resize(k+5);
t.assign(k+5,0);
int res = 0;
queue<int> q;
for (int i = 1;i<=n;i++){
for (int j = 1;j<=k;j++){
s[j].pb({r[i][j],i});
if (r[i][j]<=p[j]) cnt[i]++;
}
if (cnt[i] == k){
q.push(i);
}
}
for (int j = 1;j<=k;j++) {
sort(s[j].begin(),s[j].end());
while (t[j]<n && s[j][t[j]].fi<=p[j]) {
t[j]++;
}
}
while (q.size()){
int idx = q.front();
// cout << idx << " ";
q.pop();
res++;
for (int i = 1;i<=k;i++){
p[i]+= u[idx][i];
}
for (int i = 1;i<=k;i++){
while (t[i]<n && s[i][t[i]].fi<=p[i]){
cnt[s[i][t[i]].se]++;
if (cnt[s[i][t[i]].se]==k){
q.push(s[i][t[i]].se);
}
t[i]++;
}
}
}
cout << res;
}
}
signed main(){
ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
if (fopen(TASK".inp","r")){
freopen(TASK".inp","r",stdin);
freopen(TASK".out","w",stdout);
}
cin >> n >> k;
r.assign(n+5,vector<int>(k+5,0));
u.assign(n+5,vector<int>(k+5,0));
p.assign(k+5,0);
for (int i = 1;i<=n;i++){
for (int j = 1;j<=k;j++) cin >> r[i][j];
}
for (int i = 1;i<=n;i++){
for (int j = 1;j<=k;j++) cin >> u[i][j];
}
if (k==1) sub3::solve();
else if (n<=100 && k<=100){
trau::solve();
}
else subac::solve();
// trau::solve();
// sub3::solve();
}
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