Submission #385678

# Submission time Handle Problem Language Result Execution time Memory
385678 2021-04-04T17:32:55 Z b00n0rp Feast (NOI19_feast) C++17
100 / 100
144 ms 12908 KB
// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------
/*
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,fma")
*/ 
// -------------------</optimizations>--------------------
 
// ---------------<Headers and namespaces>----------------
#include <bits/stdc++.h>
using namespace std;
 
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
*/
 
// ---------------</Headers and namespaces>---------------
 
// -----------------<Defines and typedefs>----------------
// typedef tree<int,null_type,less<int>,rb_tree_tag, 
// tree_order_statistics_node_update> indexed_set; // use less_equal for multiset
// order_of_key (val): returns the no. of values less than val
// find_by_order (k): returns the iterator to kth largest element.(0-based)
 
typedef long double LD;
typedef long long ll;
#define int ll
#define pb push_back
#define mp make_pair
#define REP(i,n) for (int i = 0; i < n; i++)
#define FOR(i,a,b) for (int i = a; i < b; i++)
#define REPD(i,n) for (int i = n-1; i >= 0; i--)
#define FORD(i,a,b) for (int i = a; i >= b; i--)
#define remax(a,b) a = max(a,b)
#define remin(a,b) a = min(a,b)
#define all(v) v.begin(),v.end()
typedef map<int,int> mii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pii;
typedef vector<pii> vpii;
#define F first
#define S second
#define PQ(type) priority_queue<type>
#define PQD(type) priority_queue<type,vector<type>,greater<type> >
#define WL(t) while(t --)
#define SZ(x) ((int)(x).size())
#define runtime() ((double)clock() / CLOCKS_PER_SEC)
#define inrange(i,a,b) ((i>=min(a,b)) && (i<=max(a,b)))
 
/*
// -----<SCANF>-----
#define sfi(x) scanf("%d",&x);
#define sfi2(x,y) scanf("%d%d",&x,&y);
#define sfi3(x,y,z) scanf("%d%d%d",&x,&y,&z);
 
#define sfl(x) scanf("%lld",&x);
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
#define sfl3(x,y,z) scanf("%lld%lld%lld",&x,&y,&z);
#define sfl4(x,y,z,x1) scanf("%lld%lld%lld%lld",&x,&y,&z,&x1);
#define sfl5(x,y,z,x1,y1) scanf("%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1);
#define sfl6(x,y,z,x1,y1,z1) scanf("%lld%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1,&z1);
 
#define sfs(x) scanf("%s",x);
#define sfs2(x,y) scanf("%s%s",x,y);
#define sfs3(x,y,z) scanf("%s%s%s",x,y,z);
// ----</SCANF>-----
 
// ----<PRINTF>-----
#define pfi(x) printf("%d\n",x);
#define pfi2(x,y) printf("%d %d\n",x,y);
#define pfi3(x,y,z) printf("%d %d %d\n",x,y,z);
 
#define pfl(x) printf("%lld\n",x);
#define pfl2(x,y) printf("%lld %lld\n",x,y);
#define pfl3(x,y,z) printf("%lld %lld %lld\n",x,y,z);
 
#define pfs(x) printf("%s\n",x);
#define pfs2(x,y) printf("%s %s\n",x,y);
#define pfs3(x,y,z) printf("%s %s %s\n",x,y,z);
 
#define pwe(x) printf("%lld ",x); // print without end
// ----</PRINTF>----
*/
#define FLSH fflush(stdout)
#define fileIO(name) \
    freopen(name".in", "r", stdin); \
    freopen(name".out", "w", stdout);
#define PRECISION(x) cout << fixed << setprecision(x); 
#define FAST_IO ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
 
// ----------------</Defines and typedefs>----------------
 
// -------------------<Debugging stuff>-------------------
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
    cout << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
    const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#else
#define trace(...)
#endif
 
// ------------------</Debugging stuff>-------------------
 
// ------------------------<Consts>-----------------------
const int MAXN = 1000005;
const int SQRTN = 1003;
const int LOGN = 22;
const double PI=acos(-1);
 
#ifdef int
const int INF=1e16;
#else
const int INF=1e9;
#endif
 
const int MOD = 1000000007;
const int FMOD = 998244353;
const double eps = 1e-9;
// -----------------------</Consts>-----------------------
/*
// -------------------------<RNG>-------------------------
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count()); 
#define SHUF(v) shuffle(all(v), RNG);
// Use mt19937_64 for 64 bit random numbers.
 
// ------------------------</RNG>-------------------------
 
// ----------------------<MATH>---------------------------
template<typename T> T gcd(T a, T b){return(b?__gcd(a,b):a);}
template<typename T> T lcm(T a, T b){return(a*(b/gcd(a,b)));}
int add(int a, int b, int c = MOD){int res=a+b;return(res>=c?res-c:res);}
int mod_neg(int a, int b, int c = MOD){int res;if(abs(a-b)<c)res=a-b;else res=(a-b)%c;return(res<0?res+c:res);}
int mul(int a, int b, int c = MOD){ll res=(ll)a*b;return(res>=c?res%c:res);}
int muln(int a, int b, int c = MOD){ll res=(ll)a*b;return ((res%c)+c)%c;}
ll mulmod(ll a,ll b, ll m = MOD){ll q = (ll)(((LD)a*(LD)b)/(LD)m);ll r=a*b-q*m;if(r>m)r%=m;if(r<0)r+=m;return r;}
template<typename T>T expo(T e, T n){T x=1,p=e;while(n){if(n&1)x=x*p;p=p*p;n>>=1;}return x;}
template<typename T>T power(T e, T n, T m = MOD){T x=1,p=e;while(n){if(n&1)x=mul(x,p,m);p=mul(p,p,m);n>>=1;}return x;}
template<typename T>T extended_euclid(T a, T b, T &x, T &y){T xx=0,yy=1;y=0;x=1;while(b){T q=a/b,t=b;b=a%b;a=t;\
t=xx;xx=x-q*xx;x=t;t=yy;yy=y-q*yy;y=t;}return a;}
template<typename T>T mod_inverse(T a, T n = MOD){T x,y,z=0;T d=extended_euclid(a,n,x,y);return(d>1?-1:mod_neg(x,z,n));}
 
const int FACSZ = 1; // Make sure to change this
 
int fact[FACSZ],ifact[FACSZ];
 
void precom(int c = MOD){
    fact[0] = 1;
    FOR(i,1,FACSZ) fact[i] = mul(fact[i-1],i,c);
    ifact[FACSZ-1] = mod_inverse(fact[FACSZ-1],c);
    REPD(i,FACSZ-1){
        ifact[i] = mul(i+1,ifact[i+1],c);
    }
}
 
int ncr(int n,int r,int c = MOD){
    return mul(mul(ifact[r],ifact[n-r],c),fact[n],c);
} 
*/
// ----------------------</MATH>--------------------------
// --------------------------------------------------</TEMPLATE>--------------------------------------------------
 
void solvethetestcase();
 
signed main(){
    // comment when using scanf,printf
    FAST_IO
    int t = 1;
    // (UNCOMMENT FOR MULTIPLE TEST CASES)
    // cin >> t;
    FOR(testcase,1,t+1){
        // (UNCOMMENT FOR CODEJAM)
        // printf("Case #%lld: ",testcase); 
        solvethetestcase();
    }
}   
 
int n,k;
int a[MAXN],pref[MAXN];
pii dp[MAXN];

pii check(int x){
    dp[0] = {0,0};
    // dp[i] = pref[i]+(dp[j]-pref[j]+x);
    pii curmx = {x,-1};
    FOR(i,1,n+1){
        dp[i] = max(dp[i-1],mp(curmx.F+pref[i],curmx.S));
        remax(curmx,mp(dp[i].F-pref[i]+x,dp[i].S-1));
        // trace(i,dp[i].F,dp[i].S);
    }
    return mp(dp[n].F,-dp[n].S);
}
 
void solvethetestcase(){
    cin >> n >> k;
    pref[0] = 0;
    FOR(i,1,n+1){
        cin >> a[i];
        pref[i] = pref[i-1]+a[i];
    }

    int low = -(1e12),high = (1e12),mid,ans = 0;
    while(low <= high){
        mid = (low+high)/2;
        pii gg = check(mid);
        // trace(mid,gg.F,gg.S);
        if(gg.S <= k){
            remax(ans,-mid*gg.S+gg.F);
            low = mid+1;
        }
        else high = mid-1;
    }
    cout << ans << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 78 ms 9580 KB Output is correct
2 Correct 70 ms 9580 KB Output is correct
3 Correct 71 ms 9708 KB Output is correct
4 Correct 70 ms 9708 KB Output is correct
5 Correct 71 ms 9580 KB Output is correct
6 Correct 73 ms 9452 KB Output is correct
7 Correct 69 ms 9452 KB Output is correct
8 Correct 70 ms 9708 KB Output is correct
9 Correct 70 ms 9452 KB Output is correct
10 Correct 69 ms 9580 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 83 ms 9708 KB Output is correct
2 Correct 64 ms 9708 KB Output is correct
3 Correct 69 ms 9452 KB Output is correct
4 Correct 59 ms 9580 KB Output is correct
5 Correct 70 ms 9452 KB Output is correct
6 Correct 62 ms 9452 KB Output is correct
7 Correct 60 ms 9708 KB Output is correct
8 Correct 74 ms 9708 KB Output is correct
9 Correct 70 ms 9452 KB Output is correct
10 Correct 66 ms 9708 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 97 ms 9708 KB Output is correct
2 Correct 98 ms 12524 KB Output is correct
3 Correct 96 ms 12652 KB Output is correct
4 Correct 101 ms 12652 KB Output is correct
5 Correct 96 ms 12652 KB Output is correct
6 Correct 103 ms 12780 KB Output is correct
7 Correct 98 ms 12780 KB Output is correct
8 Correct 98 ms 12652 KB Output is correct
9 Correct 100 ms 12780 KB Output is correct
10 Correct 102 ms 12780 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 2 ms 364 KB Output is correct
18 Correct 1 ms 512 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 2 ms 364 KB Output is correct
18 Correct 1 ms 512 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 2 ms 492 KB Output is correct
22 Correct 2 ms 492 KB Output is correct
23 Correct 2 ms 492 KB Output is correct
24 Correct 2 ms 492 KB Output is correct
25 Correct 2 ms 640 KB Output is correct
26 Correct 2 ms 492 KB Output is correct
27 Correct 2 ms 492 KB Output is correct
28 Correct 2 ms 492 KB Output is correct
29 Correct 2 ms 492 KB Output is correct
30 Correct 2 ms 492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 78 ms 9580 KB Output is correct
2 Correct 70 ms 9580 KB Output is correct
3 Correct 71 ms 9708 KB Output is correct
4 Correct 70 ms 9708 KB Output is correct
5 Correct 71 ms 9580 KB Output is correct
6 Correct 73 ms 9452 KB Output is correct
7 Correct 69 ms 9452 KB Output is correct
8 Correct 70 ms 9708 KB Output is correct
9 Correct 70 ms 9452 KB Output is correct
10 Correct 69 ms 9580 KB Output is correct
11 Correct 83 ms 9708 KB Output is correct
12 Correct 64 ms 9708 KB Output is correct
13 Correct 69 ms 9452 KB Output is correct
14 Correct 59 ms 9580 KB Output is correct
15 Correct 70 ms 9452 KB Output is correct
16 Correct 62 ms 9452 KB Output is correct
17 Correct 60 ms 9708 KB Output is correct
18 Correct 74 ms 9708 KB Output is correct
19 Correct 70 ms 9452 KB Output is correct
20 Correct 66 ms 9708 KB Output is correct
21 Correct 97 ms 9708 KB Output is correct
22 Correct 98 ms 12524 KB Output is correct
23 Correct 96 ms 12652 KB Output is correct
24 Correct 101 ms 12652 KB Output is correct
25 Correct 96 ms 12652 KB Output is correct
26 Correct 103 ms 12780 KB Output is correct
27 Correct 98 ms 12780 KB Output is correct
28 Correct 98 ms 12652 KB Output is correct
29 Correct 100 ms 12780 KB Output is correct
30 Correct 102 ms 12780 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 364 KB Output is correct
37 Correct 1 ms 364 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 1 ms 364 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 1 ms 364 KB Output is correct
42 Correct 1 ms 364 KB Output is correct
43 Correct 1 ms 364 KB Output is correct
44 Correct 1 ms 364 KB Output is correct
45 Correct 1 ms 364 KB Output is correct
46 Correct 1 ms 364 KB Output is correct
47 Correct 2 ms 364 KB Output is correct
48 Correct 1 ms 512 KB Output is correct
49 Correct 1 ms 384 KB Output is correct
50 Correct 1 ms 364 KB Output is correct
51 Correct 2 ms 492 KB Output is correct
52 Correct 2 ms 492 KB Output is correct
53 Correct 2 ms 492 KB Output is correct
54 Correct 2 ms 492 KB Output is correct
55 Correct 2 ms 640 KB Output is correct
56 Correct 2 ms 492 KB Output is correct
57 Correct 2 ms 492 KB Output is correct
58 Correct 2 ms 492 KB Output is correct
59 Correct 2 ms 492 KB Output is correct
60 Correct 2 ms 492 KB Output is correct
61 Correct 139 ms 12524 KB Output is correct
62 Correct 126 ms 12908 KB Output is correct
63 Correct 111 ms 12524 KB Output is correct
64 Correct 139 ms 12800 KB Output is correct
65 Correct 144 ms 12780 KB Output is correct
66 Correct 140 ms 12652 KB Output is correct
67 Correct 139 ms 12652 KB Output is correct
68 Correct 100 ms 12780 KB Output is correct
69 Correct 98 ms 12524 KB Output is correct
70 Correct 96 ms 12396 KB Output is correct