oj.uz

Submission #122239

# Submission time Handle Problem Language Result Execution time Memory
122239 2019-06-27T23:12:42 Z duality Naan (JOI19_naan) C++11
100 / 100
 2600 ms 100964 KB 
#define DEBUG 0

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

#if DEBUG
// basic debugging macros
int __i__,__j__;
#define printLine(l) for(__i__=0;__i__<l;__i__++){cout<<"-";}cout<<endl
#define printLine2(l,c) for(__i__=0;__i__<l;__i__++){cout<<c;}cout<<endl
#define printVar(n) cout<<#n<<": "<<n<<endl
#define printArr(a,l) cout<<#a<<": ";for(__i__=0;__i__<l;__i__++){cout<<a[__i__]<<" ";}cout<<endl
#define print2dArr(a,r,c) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<a[__i__][__j__]<<" ";}cout<<endl;}
#define print2dArr2(a,r,c,l) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<setw(l)<<setfill(' ')<<a[__i__][__j__]<<" ";}cout<<endl;}

// advanced debugging class
// debug 1,2,'A',"test";
class _Debug {
    public:
        template<typename T>
        _Debug& operator,(T val) {
            cout << val << endl;
            return *this;
        }
};
#define debug _Debug(),
#else
#define printLine(l)
#define printLine2(l,c)
#define printVar(n)
#define printArr(a,l)
#define print2dArr(a,r,c)
#define print2dArr2(a,r,c,l)
#define debug
#endif

// define
#define MAX_VAL 999999999
#define MAX_VAL_2 999999999999999999LL
#define EPS 1e-6
#define mp make_pair
#define pb push_back

// typedef
typedef unsigned int UI;
typedef __int128 LLI;
typedef unsigned long long int ULLI;
typedef unsigned short int US;
typedef pair<int,int> pii;
typedef pair<LLI,LLI> plli;
typedef vector<int> vi;
typedef vector<LLI> vlli;
typedef vector<pii> vpii;
typedef vector<plli> vplli;

// ---------- END OF TEMPLATE ----------

int V[2000][2000];
LLI gcd(LLI a,LLI b) {
    LLI t;
    while (a > 0) t = b % a,b = a,a = t;
    return b;
}
struct frac {
    LLI n,d;
    frac reduce() {
        LLI g = gcd(n,d);
        n /= g,d /= g;
        return *this;
    }
    frac operator+(frac f) {
        return (frac){n*f.d+d*f.n,d*f.d};
    }
    frac operator-(frac f) {
        return (frac){n*f.d-d*f.n,d*f.d};
    }
    frac operator*(frac f) {
        return (frac){n*f.n,d*f.d};
    }
    bool operator<(frac f) {
        return (long double) n/d < (long double) f.n/f.d;
    }
};
int P[2000],done[2000];
LLI sum[2000][2001];
frac need[2000];
frac query(int i,frac a,frac b) {
    frac ans = (frac){0,1};
    ans = ans + (frac){sum[i][b.n/b.d],1};
    if ((b.n % b.d) != 0) ans = ans + (frac){V[i][b.n/b.d]*(b.n % b.d),b.d};
    ans = ans - (frac){sum[i][a.n/a.d],1};
    if ((a.n % a.d) != 0) ans = ans - (frac){V[i][a.n/a.d]*(a.n % a.d),a.d};
    return ans;
}
int main() {
    int i,j;
    int N,L;
    scanf("%d %d",&N,&L);
    for (i = 0; i < N; i++) {
        for (j = 0; j < L; j++) {
            scanf("%d",&V[i][j]);
            sum[i][j+1] = sum[i][j]+V[i][j];
        }
        need[i] = (frac){sum[i][L],N};
    }

    frac p = (frac){0,1};
    for (i = 0; i < N; i++) {
        frac best = (frac){L+1,1};
        int b = -1,d;
        for (j = 0; j < N; j++) {
            if (!done[j]) {
                int l = p.n/p.d,r = L;
                while (l < r) {
                    int m = (l+r) / 2;
                    if (query(j,p,(frac){m,1}) < need[j]) l = m+1;
                    else r = m;
                }
                frac f = query(j,p,(frac){l,1});
                f = f-need[j];
                f = f * (frac){1,V[j][l-1]};
                frac q = ((frac){l,1})-f;
                if (q < best) best = q,b = j,d = V[j][l-1];
            }
        }
        P[i] = b,done[b] = 1,p = best;
        if (p.d > N*d) {
            p.n = ((long double) p.n*(N*d)+p.d-1)/p.d;
            p.d = N*d;
        }
        p.reduce();
        if (i < N-1) printf("%lld %lld\n",(long long int) p.n,(long long int) p.d);
    }
    for (i = 0; i < N; i++) printf("%d ",P[i]+1);
    printf("\n");

    return 0;
}

Compilation message

naan.cpp: In function 'int main()':
naan.cpp:98:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d %d",&N,&L);
     ~~~~~^~~~~~~~~~~~~~~
naan.cpp:101:18: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
             scanf("%d",&V[i][j]);
             ~~~~~^~~~~~~~~~~~~~~
naan.cpp:127:20: warning: 'd' may be used uninitialized in this function [-Wmaybe-uninitialized]
         if (p.d > N*d) {
                   ~^~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 3 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 3 ms 512 KB Output is correct
3 Correct 2 ms 512 KB Output is correct
4 Correct 3 ms 512 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 3 ms 640 KB Output is correct
10 Correct 3 ms 640 KB Output is correct
11 Correct 3 ms 512 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 2 ms 512 KB Output is correct
14 Correct 3 ms 640 KB Output is correct
15 Correct 3 ms 512 KB Output is correct
16 Correct 3 ms 640 KB Output is correct
17 Correct 3 ms 640 KB Output is correct
18 Correct 3 ms 512 KB Output is correct
19 Correct 3 ms 640 KB Output is correct
20 Correct 3 ms 512 KB Output is correct
21 Correct 3 ms 512 KB Output is correct
22 Correct 3 ms 640 KB Output is correct
23 Correct 2 ms 384 KB Output is correct
24 Correct 3 ms 588 KB Output is correct
25 Correct 3 ms 512 KB Output is correct
26 Correct 4 ms 384 KB Output is correct
27 Correct 3 ms 512 KB Output is correct

Subtask #3
71.0 / 71.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 3 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 2 ms 384 KB Output is correct
17 Correct 3 ms 512 KB Output is correct
18 Correct 2 ms 512 KB Output is correct
19 Correct 3 ms 512 KB Output is correct
20 Correct 2 ms 512 KB Output is correct
21 Correct 2 ms 384 KB Output is correct
22 Correct 2 ms 384 KB Output is correct
23 Correct 2 ms 384 KB Output is correct
24 Correct 3 ms 640 KB Output is correct
25 Correct 3 ms 640 KB Output is correct
26 Correct 3 ms 512 KB Output is correct
27 Correct 2 ms 384 KB Output is correct
28 Correct 2 ms 512 KB Output is correct
29 Correct 3 ms 640 KB Output is correct
30 Correct 3 ms 512 KB Output is correct
31 Correct 3 ms 640 KB Output is correct
32 Correct 3 ms 640 KB Output is correct
33 Correct 3 ms 512 KB Output is correct
34 Correct 3 ms 640 KB Output is correct
35 Correct 3 ms 512 KB Output is correct
36 Correct 3 ms 512 KB Output is correct
37 Correct 3 ms 640 KB Output is correct
38 Correct 2 ms 384 KB Output is correct
39 Correct 3 ms 588 KB Output is correct
40 Correct 3 ms 512 KB Output is correct
41 Correct 4 ms 384 KB Output is correct
42 Correct 3 ms 512 KB Output is correct
43 Correct 161 ms 11744 KB Output is correct
44 Correct 1075 ms 53624 KB Output is correct
45 Correct 424 ms 34920 KB Output is correct
46 Correct 39 ms 6008 KB Output is correct
47 Correct 656 ms 42232 KB Output is correct
48 Correct 1458 ms 34320 KB Output is correct
49 Correct 356 ms 18424 KB Output is correct
50 Correct 2040 ms 69404 KB Output is correct
51 Correct 666 ms 43640 KB Output is correct
52 Correct 1710 ms 74616 KB Output is correct
53 Correct 1508 ms 60920 KB Output is correct
54 Correct 2 ms 512 KB Output is correct
55 Correct 491 ms 15172 KB Output is correct
56 Correct 989 ms 54404 KB Output is correct
57 Correct 826 ms 44408 KB Output is correct
58 Correct 1413 ms 55544 KB Output is correct
59 Correct 749 ms 48504 KB Output is correct
60 Correct 2519 ms 100728 KB Output is correct
61 Correct 2502 ms 100856 KB Output is correct
62 Correct 2453 ms 100624 KB Output is correct
63 Correct 2550 ms 100964 KB Output is correct
64 Correct 2600 ms 100856 KB Output is correct
65 Correct 2272 ms 87628 KB Output is correct
66 Correct 2096 ms 87668 KB Output is correct
67 Correct 2412 ms 87664 KB Output is correct
68 Correct 1025 ms 48856 KB Output is correct
69 Correct 1002 ms 56696 KB Output is correct
70 Correct 1290 ms 53568 KB Output is correct
71 Correct 1708 ms 73976 KB Output is correct