Submission #834926

#	Time	Username	Problem	Language	Result	Execution time	Memory
834926		maomao90	Triple Jump (JOI19_jumps)	C++17	100 / 100	1100 ms	121372 KiB

jumps

// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h> 
using namespace std;

#define REP(i, s, e) for (int i = (s); i < (e); i++)
#define RREP(i, s, e) for (int i = (s); i >= (e); i--)
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}

typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define SZ(_a) (int) _a.size()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
typedef vector<iii> viii;

#ifndef DEBUG
#define cerr if (0) cerr
#endif

const int INF = 1000000005;
const ll LINF = 1000000000000000005ll;
const int MAXN = 500005;

int n;
int a[MAXN];
int q;
vii qry[MAXN];
vi ev[MAXN];
ll ans[MAXN];

#define MLR int mid = lo + hi >> 1, lc = u << 1, rc = u << 1 ^ 1
struct Node {
    ll mn, smn, mxa, res, lz;
} st[MAXN * 4];
void init(int u = 1, int lo = 1, int hi = n) {
    st[u].mn = -LINF;
    st[u].smn = LINF;
    st[u].res = 0;
    st[u].lz = -LINF;
    if (lo == hi) {
        st[u].mxa = a[lo];
        return;
    }
    MLR;
    init(lc, lo, mid);
    init(rc, mid + 1, hi);
    st[u].mxa = max(st[lc].mxa, st[rc].mxa);
}
void apply(ll x, int u, int lo, int hi) {
    if (x <= st[u].mn) {
        return;
    }
    assert(x <= st[u].smn);
    st[u].mn = x;
    mxto(st[u].res, st[u].mn + st[u].mxa);
    mxto(st[u].lz, x);
}
void propo(int u, int lo, int hi) {
    if (st[u].lz == -LINF) {
        return;
    }
    MLR;
    apply(st[u].lz, lc, lo, mid);
    apply(st[u].lz, rc, mid + 1, hi);
    st[u].lz = -LINF;
}
void updmx(int s, int e, ll x, int u = 1, int lo = 1, int hi = n) {
    if (s > e || x <= st[u].mn) {
        return;
    }
    if (lo >= s && hi <= e && x <= st[u].smn) {
        apply(x, u, lo, hi);
        return;
    }
    assert(lo != hi);
    propo(u, lo, hi);
    MLR;
    if (s <= mid) {
        updmx(s, e, x, lc, lo, mid);
    }
    if (e > mid) {
        updmx(s, e, x, rc, mid + 1, hi);
    }
    st[u].res = max(st[lc].res, st[rc].res);
    if (st[lc].mn == st[rc].mn) {
        st[u].mn = st[lc].mn;
        st[u].mxa = max(st[lc].mxa, st[rc].mxa);
        st[u].smn = min(st[lc].smn, st[rc].smn);
    } else if (st[lc].mn < st[rc].mn) {
        st[u].mn = st[lc].mn;
        st[u].mxa = st[lc].mxa;
        st[u].smn = min(st[lc].smn, st[rc].mn);
    } else {
        st[u].mn = st[rc].mn;
        st[u].mxa = st[rc].mxa;
        st[u].smn = min(st[rc].smn, st[lc].mn);
    }
}
ll qmx(int s, int e, int u = 1, int lo = 1, int hi = n) {
    if (lo >= s && hi <= e) {
        return st[u].res;
    }
    MLR;
    propo(u, lo, hi);
    ll res = 0;
    if (s <= mid) {
        mxto(res, qmx(s, e, lc, lo, mid));
    }
    if (e > mid) {
        mxto(res, qmx(s, e, rc, mid + 1, hi));
    }
    return res;
}
/*
void updmx(int s, int e, ll x) {
    REP (i, s, e + 1) {
        mxto(mx[i], x);
    }
}
ll qmx(int s, int e) {
    ll res = 0;
    REP (i, s, e + 1) {
        mxto(res, a[i] + mx[i]);
    }
    return res;
}
*/

int main() {
#ifndef DEBUG
    ios::sync_with_stdio(0), cin.tie(0);
#endif
    cin >> n;
    REP (i, 1, n + 1) {
        cin >> a[i];
    }
    vi stk;
    REP (j, 1, n + 1) {
        while (!stk.empty() && a[stk.back()] < a[j]) {
            ev[stk.back()].pb(j);
            stk.pop_back();
        }
        if (!stk.empty()) {
            ev[stk.back()].pb(j);
        }
        stk.pb(j);
    }
    stk.clear();
    RREP (j, n, 1) {
        while (!stk.empty() && a[stk.back()] < a[j]) {
            ev[j].pb(stk.back());
            stk.pop_back();
        }
        if (!stk.empty()) {
            ev[j].pb(stk.back());
        }
        stk.pb(j);
    }
    cin >> q;
    REP (i, 1, q + 1) {
        int l, r; cin >> l >> r;
        qry[l].pb({r, i});
    }
    init();
    RREP (l, n, 1) {
        for (int r : ev[l]) {
            // c - r = r - l
            // c = 2 * r - l
            updmx(2 * r - l, n, a[l] + a[r]);
        }
        for (auto [r, i] : qry[l]) {
            ans[i] = qmx(l, r);
        }
    }
    REP (i, 1, q + 1) {
        cout << ans[i] << '\n';
    }
    return 0;
}

Compilation message (stderr)

jumps.cpp: In function 'void init(int, int, int)':
jumps.cpp:47:26: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   47 | #define MLR int mid = lo + hi >> 1, lc = u << 1, rc = u << 1 ^ 1
      |                       ~~~^~~~
jumps.cpp:60:5: note: in expansion of macro 'MLR'
   60 |     MLR;
      |     ^~~
jumps.cpp: In function 'void propo(int, int, int)':
jumps.cpp:47:26: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   47 | #define MLR int mid = lo + hi >> 1, lc = u << 1, rc = u << 1 ^ 1
      |                       ~~~^~~~
jumps.cpp:78:5: note: in expansion of macro 'MLR'
   78 |     MLR;
      |     ^~~
jumps.cpp: In function 'void updmx(int, int, ll, int, int, int)':
jumps.cpp:47:26: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   47 | #define MLR int mid = lo + hi >> 1, lc = u << 1, rc = u << 1 ^ 1
      |                       ~~~^~~~
jumps.cpp:93:5: note: in expansion of macro 'MLR'
   93 |     MLR;
      |     ^~~
jumps.cpp: In function 'll qmx(int, int, int, int, int)':
jumps.cpp:47:26: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   47 | #define MLR int mid = lo + hi >> 1, lc = u << 1, rc = u << 1 ^ 1
      |                       ~~~^~~~
jumps.cpp:119:5: note: in expansion of macro 'MLR'
  119 |     MLR;
      |     ^~~

• Subtask 1: 5 / 5
• Subtask 2: 14 / 14
• Subtask 3: 27 / 27
• Subtask 4: 54 / 54