Submission #1096590

#TimeUsernameProblemLanguageResultExecution timeMemory
1096590dostsKnapsack (NOI18_knapsack)C++17
100 / 100
121 ms4184 KiB
//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<<15;
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);
        if (!len) { return EOF; }
    }
    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 = 0;
int sz = 0;
                             
int v[N],c[N],k[N];
int sk[2008],sk1[2008],added[2008];
int poss[N];
signed main() { 
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    #ifdef Dodi
        freopen("in.txt","r",stdin);
        freopen("out.txt","w",stdout);
    #endif
    int w=read_int(),n=read_int();
    for (int i=1;i<=n;i++) v[i]=read_int(),c[i]=read_int(),k[i]=read_int();
    iota(poss,poss+n+1,0);
    sort(poss+1,poss+n+1,[&](const int& p1,const int& p2){
        return v[p1] > v[p2];
    });
    int*sack=sk,*sack2=sk1;
    for (int i=0;i<=w+1;i++) sack2[i] = -inf;
    sack2[0] = 0;
    for (int ii=1;ii<=n;ii++) {
        int i = poss[ii];
        if(w<=added[c[i]]*c[i])continue;
        added[c[i]]+=k[i];
        for (int jj = 0;jj<c[i];jj++) {
            sz = ptr = 0;
            for (int j = jj;j<=w;j+=c[i]) {
                if (sz && k[i] < (j-alloc[ptr])/c[i]) {
                    sz--;
                    ptr++;
                }
                while (sz && (j-alloc[ptr+sz-1])/c[i]*v[i]+sack2[alloc[sz+ptr-1]] <= sack2[j]) {
                    sz--;
                }
                alloc[sz+ptr] = j;
                sz++;
                sack[j] = (j-alloc[ptr])/c[i]*v[i]+sack2[alloc[ptr]];
            }
        }
        swap(sack,sack2);
    }
    int ans=0;
    for(int i=0;i<=w;i++)if(ans<sack2[i])ans=sack2[i];
    cout << ans;
}
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