답안 #529810

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
529810 2022-02-23T17:35:13 Z Doublade Knapsack (NOI18_knapsack) C++17
100 / 100
96 ms 36348 KB
/* 𝔸ЦէђӨr: 𝔻𝔬ᵘ๒𝓵𝓪🅳𝕖 */

#include<bits/stdc++.h>
using namespace std;
using namespace chrono;

#pragma GCC optimize("-O2")

typedef long long ll;
typedef long double lld;
typedef unsigned long long ull;
typedef vector<int> vi;
typedef pair<int, int> pi;
typedef vector<ll> vl;
typedef pair<ll, ll> pl;
typedef vector<vector<ll>> matrix;

#define debug(...) fprintf(stderr, __VA_ARGS__), fflush(stderr)
#define time__(d) \
    for ( \
        auto blockTime = make_pair(chrono::high_resolution_clock::now(), true); \
        blockTime.second; \
        debug("%s: %lld ms\n", d, chrono::duration_cast<chrono::milliseconds>(chrono::high_resolution_clock::now() - blockTime.first).count()), blockTime.second = false \
    )
#define F                         first
#define S                         second
#define PB                        push_back
#define PPB                       pop_back
#define MP                        make_pair
#define all(c)                    c.begin(), c.end()
#define f(i,a,b)                  for(ll i=a; i<b; i++)
#define rep(i,n)                  f(i,0,n)
#define fd(i, b, a)               for(ll i=b; i>=a; i--)
#define repr(i,n)                 fd(i, n-1, 0)
#define tr(c,i)                   for(typeof(c).begin() i = c.begin(); i != c.end(); i++)
#define present(c,x)              (c.find(x) != c.end())    //for set and map
#define cpresent(c,x)             (find(all(c),x) != c.end())    //for vectors
#define ps(num, places)           fixed<<setprecision(places)<<num //use as cout<<ps(x, y)<<"\n";
#define sz(x)                     (ll)(x).size()

void setIO() { 
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout); 
}

void usaco(string filename) {
    freopen((filename + ".in").c_str(), "r", stdin);
    freopen((filename + ".out").c_str(), "w", stdout);
}

void amax(ll &a, ll b) { a = max(a, b); }
void amin(ll &a, ll b) { a = min(a, b); }

const lld epsilon = 1e-9;
const ll MOD = 1e9+7;
const ll INF = 1e9;

bool comp(ll a, ll b) {
    return (a > b);
}

ll POW(ll a, ll b) {
    ll res = 1;
    while(b>0) {
        if(b&1) res *= a;
        a *= a;
        b >>= 1;
    }
    return res;
}

ll binpow(ll a, ll b, ll p=MOD) {
    ll res = 1;
    a %= p;
    while(b>0) {
        if(b&1) (res *= a)%=p;
        (a *= a)%=p;
        b >>= 1;
        a %= p;
        res %= p;
    }
    return res;
}

void runcase() {
    ll s, n;
    cin >> s >> n;
    map<ll, vector<pl>> a;
    rep(i, n) {
        ll v, w, k;
        cin >> v >> w >> k;
        a[w].PB({v, k});
    }
    ll nItems = sz(a);
    matrix dp(nItems+1, vl(s+1, 0));
    ll idx = 1;
    for(auto x:a) {
        ll wt = x.F;
        vector<pl> items = x.S;
        sort(all(items), [&](const pl &a, const pl &b) {
            if(a.F==b.F) return (a.S > b.S);
            return (a.F > b.F);
        });
        f(j, 1, s+1) {
            dp[idx][j] = dp[idx-1][j];
            ll prev = 0, copies = 0, arrIdx = 0, currCopies = 0;
            while(arrIdx<sz(items) && j>=((copies+currCopies)*wt)) {
                ll currVal = items[arrIdx].F;
                amax(dp[idx][j], prev+(currCopies*currVal)+dp[idx-1][j-(copies+currCopies)*wt]);
                currCopies++;
                if(currCopies>items[arrIdx].S) {
                    prev += (items[arrIdx].F*items[arrIdx].S);
                    copies += items[arrIdx].S;
                    arrIdx++;
                    currCopies = 0;
                }
            }
        }
        idx++;
    }
    cout<<dp[nItems][s]<<"\n";
}

int main() {
    ios::sync_with_stdio(false); cin.tie(0); cout.precision(10);
    #ifndef ONLINE_JUDGE
        // setIO();
        // usaco("");
    #endif
    time__("Main") {
        ll tests = 1;
        // cin >> tests;
        while(tests--) {
            runcase();
        }
    }
    return 0;
}

Compilation message

knapsack.cpp: In function 'int main()':
knapsack.cpp:23:15: warning: format '%lld' expects argument of type 'long long int', but argument 4 has type 'std::chrono::duration<long int, std::ratio<1, 1000> >::rep' {aka 'long int'} [-Wformat=]
   23 |         debug("%s: %lld ms\n", d, chrono::duration_cast<chrono::milliseconds>(chrono::high_resolution_clock::now() - blockTime.first).count()), blockTime.second = false \
      |               ^~~~~~~~~~~~~~~     ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
      |                                                                                                                                            |
      |                                                                                                                                            std::chrono::duration<long int, std::ratio<1, 1000> >::rep {aka long int}
knapsack.cpp:18:36: note: in definition of macro 'debug'
   18 | #define debug(...) fprintf(stderr, __VA_ARGS__), fflush(stderr)
      |                                    ^~~~~~~~~~~
knapsack.cpp:130:5: note: in expansion of macro 'time__'
  130 |     time__("Main") {
      |     ^~~~~~
knapsack.cpp:23:23: note: format string is defined here
   23 |         debug("%s: %lld ms\n", d, chrono::duration_cast<chrono::milliseconds>(chrono::high_resolution_clock::now() - blockTime.first).count()), blockTime.second = false \
      |                    ~~~^
      |                       |
      |                       long long int
      |                    %ld
knapsack.cpp: In function 'void setIO()':
knapsack.cpp:42:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   42 |     freopen("input.txt", "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
knapsack.cpp:43:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   43 |     freopen("output.txt", "w", stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
knapsack.cpp: In function 'void usaco(std::string)':
knapsack.cpp:47:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   47 |     freopen((filename + ".in").c_str(), "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
knapsack.cpp:48:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   48 |     freopen((filename + ".out").c_str(), "w", stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 2 ms 308 KB Output is correct
3 Correct 1 ms 312 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 2 ms 1740 KB Output is correct
7 Correct 2 ms 1868 KB Output is correct
8 Correct 2 ms 1740 KB Output is correct
9 Correct 2 ms 1740 KB Output is correct
10 Correct 2 ms 1740 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 2 ms 308 KB Output is correct
3 Correct 1 ms 312 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 2 ms 1740 KB Output is correct
7 Correct 2 ms 1868 KB Output is correct
8 Correct 2 ms 1740 KB Output is correct
9 Correct 2 ms 1740 KB Output is correct
10 Correct 2 ms 1740 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 3 ms 308 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 2 ms 1868 KB Output is correct
17 Correct 2 ms 1740 KB Output is correct
18 Correct 3 ms 1740 KB Output is correct
19 Correct 2 ms 1740 KB Output is correct
20 Correct 2 ms 1920 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 2 ms 308 KB Output is correct
7 Correct 1 ms 312 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 2 ms 1740 KB Output is correct
11 Correct 2 ms 1868 KB Output is correct
12 Correct 2 ms 1740 KB Output is correct
13 Correct 2 ms 1740 KB Output is correct
14 Correct 2 ms 1740 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 3 ms 308 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 2 ms 1868 KB Output is correct
21 Correct 2 ms 1740 KB Output is correct
22 Correct 3 ms 1740 KB Output is correct
23 Correct 2 ms 1740 KB Output is correct
24 Correct 2 ms 1920 KB Output is correct
25 Correct 0 ms 204 KB Output is correct
26 Correct 4 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 3 ms 1868 KB Output is correct
31 Correct 2 ms 1868 KB Output is correct
32 Correct 2 ms 1740 KB Output is correct
33 Correct 2 ms 1844 KB Output is correct
34 Correct 2 ms 1720 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 2 ms 308 KB Output is correct
7 Correct 1 ms 312 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 2 ms 1740 KB Output is correct
11 Correct 2 ms 1868 KB Output is correct
12 Correct 2 ms 1740 KB Output is correct
13 Correct 2 ms 1740 KB Output is correct
14 Correct 2 ms 1740 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 3 ms 308 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 2 ms 1868 KB Output is correct
21 Correct 2 ms 1740 KB Output is correct
22 Correct 3 ms 1740 KB Output is correct
23 Correct 2 ms 1740 KB Output is correct
24 Correct 2 ms 1920 KB Output is correct
25 Correct 0 ms 204 KB Output is correct
26 Correct 4 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 3 ms 1868 KB Output is correct
31 Correct 2 ms 1868 KB Output is correct
32 Correct 2 ms 1740 KB Output is correct
33 Correct 2 ms 1844 KB Output is correct
34 Correct 2 ms 1720 KB Output is correct
35 Correct 27 ms 5248 KB Output is correct
36 Correct 34 ms 6400 KB Output is correct
37 Correct 36 ms 6204 KB Output is correct
38 Correct 30 ms 4204 KB Output is correct
39 Correct 36 ms 4860 KB Output is correct
40 Correct 89 ms 36348 KB Output is correct
41 Correct 96 ms 35556 KB Output is correct
42 Correct 91 ms 35524 KB Output is correct
43 Correct 89 ms 35520 KB Output is correct
44 Correct 90 ms 35468 KB Output is correct
45 Correct 40 ms 7916 KB Output is correct
46 Correct 34 ms 6960 KB Output is correct
47 Correct 46 ms 11204 KB Output is correct
48 Correct 64 ms 20408 KB Output is correct
49 Correct 34 ms 4964 KB Output is correct
50 Correct 49 ms 4816 KB Output is correct