Submission #1096619

#	Time	Username	Problem	Language	Result	Execution time	Memory
1096619		dosts	Knapsack (NOI18_knapsack)	C++17	100 / 100	29 ms	3676 KiB

knapsack

//SİGUSMUS SEFEROĞLU
#pragma GCC target("avx2,bmi,bmi2,popcnt,lzcnt")
#include <bits/stdc++.h>
using namespace std;
const int N = 1e5+50,inf = 2e9;
 
const int BUF_SZ=1<<16;
char buf[BUF_SZ];
int pos;
int len;
inline char next_char() {
    if (pos == len) {
        pos = 0;
        len = (int)fread(buf, 1, BUF_SZ, stdin);
    }
    return buf[pos++];
}
 
inline int read_int() {
    int x;
    char ch=next_char();
    x = ch - '0';
    while (isdigit(ch = next_char())) { x = x * 10 + (ch - '0'); }
    return x;
}
 
int alloc[2008];
int* ptr = alloc;
int sz = 0;
                             
int v[N],k[N];
int sk[2008],sk1[2008];
vector<int>poss[1001];
int mx[2008];
signed main() { 
    #ifdef Dodi
        freopen("in.txt","r",stdin);
        freopen("out.txt","w",stdout);
    #endif
    int w=read_int(),n=read_int();
    int c;
    for (int i=1;i<=n;i++){
        v[i]=read_int(),c=read_int(),k[i]=read_int();
        if(c<=1000)poss[c].push_back(i);
        else if(v[mx[c]]<v[i])mx[c]=i;
    }
    int*sack=sk,*sack2=sk1;
    for (int i=0;i<=w+1;i++) sack2[i] = -inf;
    sack2[0] = 0;
    for (int ii=1;ii<2008;ii++) {
        if (ii<=1000) {
            int added=0;
            int got = min<int>(poss[ii].size(),w/ii);
 
            nth_element(poss[ii].begin(),poss[ii].begin()+got,poss[ii].end(),[&](const int x,const int y) {
                return v[x] > v[y];
            });
            
            sort(poss[ii].begin(),poss[ii].begin()+got,[&](const int x,const int y) {
                return v[x] > v[y];
            });
            
            for(int i:poss[ii]){
                if(w<=added*ii)break;
                added+=k[i];
                int cool=0;
                for (int jj = 0;jj<ii;jj++) {
                    sz = 0,ptr = alloc;
                    for (int j = jj;j<=w;j+=ii) {
                        if (sz && k[i] < (j-*ptr)/ii) {
                            sz--;
                            ptr++;
                        }
                        while (sz && (j-ptr[sz-1])/ii*v[i]+sack2[ptr[sz-1]] <= sack2[j]) {
                            sz--;
                        }
                        ptr[sz] = j;
                        sz++;
                        sack[j] = (j-*ptr)/ii*v[i]+sack2[*ptr];
                        cool|=sack[j]!=sack2[j];
                    }
                }
                if(!cool)break;
                swap(sack,sack2);
            }
        }
        else if(mx[ii]){
            int i=mx[ii];
            for (int jj = 0;jj<ii;jj++) {
                sz = 0,ptr = alloc;
                for (int j = jj;j<=w;j+=ii) {
                    if (sz && k[i] < (j-*ptr)/ii) {
                        sz--;
                        ptr++;
                    }
                    while (sz && (j-ptr[sz-1])/ii*v[i]+sack2[ptr[sz-1]] <= sack2[j]) {
                        sz--;
                    }
                    ptr[sz] = j;
                    sz++;
                    sack[j] = (j-*ptr)/ii*v[i]+sack2[*ptr];
                }
            }
            swap(sack,sack2);
        }
    }
    int ans=0;
    for(int i=0;i<=w;i++)if(ans<sack2[i])ans=sack2[i];
    cout << ans;
}

• Subtask 1: 12 / 12
• Subtask 2: 17 / 17
• Subtask 3: 20 / 20
• Subtask 4: 24 / 24
• Subtask 5: 27 / 27