Submission #88024

#	Time	Username	Problem	Language	Result	Execution time	Memory
88024		vanbang9710	Split the sequence (APIO14_sequence)	C++14	71 / 100	129 ms	132096 KiB

sequence

#include<iostream>
#include<ctime>
#include<cstdlib>
#include<cstdio>
#include<cmath>
#include<climits>
#include<cstring>
#include<iomanip>
#include<string>
#include<bitset>
#include<unordered_map>
#include<unordered_set>
#include<set>
#include<vector>
#include<map>
#include<queue>
#include<stack>
#include<deque>
#include<algorithm>
#include<functional>
#include<chrono>
//#include<windows.h>
//#include<direct.h>
#include<random>
#include<sstream>

#define y0 asdahsdlkahsdad
#define y1 aasdfasdfasdf
#define yn askfhwqriuperikldjk
#define j1 assdgsdgasghsf
#define taskname "sequence"
//#define GuiltiaSinJurai

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;

using namespace std;

template <typename T> inline void Cin(T &x)
{
    register char c;
    for (c = getchar(); c < '0' || c > '9'; c = getchar());
    for (x = 0; c >= '0' && c <= '9'; c = getchar())
        x = x * 10 + c - '0';
}

const int maxN = 1e5, maxK = 201;

int trace[maxN][maxK], s[maxN], nId, N, K, a;
static ll f[maxN][maxK];

struct TLine
{
    int x;
    ll y;
    inline TLine operator - (const TLine &l) const & { return {x - l.x, y - l.y}; }
    inline bool operator * (const TLine &l) const & { return x * l.y <= y * l.x; }
} p[maxN];
int id[maxN];
inline bool Erase(int a, int b, int c)
{
    return (p[b] - p[a]) * (p[a] - p[c]);
}

int main()
{
    #ifdef GuiltiaSinJurai
    auto start = chrono::steady_clock::now();
    #endif
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    //freopen(taskname".inp", "r", stdin);
    //freopen(taskname".out", "w", stdout);

    Cin(N); Cin(K);
    for (int i = 0, val = 0; i < N; ++i)
        Cin(a), s[i] = (val += a);
    for (int k = 1; k <= K; ++k)
    {
        nId = -1;
        int j = 0;
        for (int i = k, val = f[i][k - 1]; i < N; ++i)
        {
            --i;
            p[i] = {s[i], f[i][k - 1] - (ll)s[i] * s[i]};
            while (nId >= 1 && Erase(id[nId - 1], id[nId], i)) --nId;
            id[++nId] = i;
            val = f[++i][k - 1];
            int t = s[i];
            #define Get(i) ((ll)t * p[i].x + p[i].y)
            if (j >= nId) j = nId;
            else while (j < nId && Get(id[j + 1]) > Get(id[j])) ++j;
            f[i][k] = Get(id[j]);
            trace[i][k] = id[j];
        }
    }
    cout << f[N - 1][K] << '\n';
    int i = N - 1;
    for (; K > 0; --K)
        cout << (i = trace[i][K]) + 1 << ' ';

    #ifdef GuiltiaSinJurai
    auto end = chrono::steady_clock::now();
    cerr << "In milliseconds : "
         << chrono::duration_cast<chrono::milliseconds>(end - start).count();
    cerr << '\n' << "In seconds : "
         << chrono::duration_cast<chrono::seconds>(end - start).count() << '\n';
    #endif
    return 0;

}

Compilation message (stderr)

sequence.cpp: In function 'int main()':
sequence.cpp:83:25: warning: variable 'val' set but not used [-Wunused-but-set-variable]
         for (int i = k, val = f[i][k - 1]; i < N; ++i)
                         ^~~

• Subtask 1: 11 / 11
• Subtask 2: 11 / 11
• Subtask 3: 11 / 11
• Subtask 4: 17 / 17
• Subtask 5: 21 / 21
• Subtask 6: 0 / 29