Submission #1113307

#	Time	Username	Problem	Language	Result	Execution time	Memory
1113307		dwuy	Fish 2 (JOI22_fish2)	C++14	25 / 100	4078 ms	53576 KiB

fish2

/**         - dwuy -

　　　　　 ／＞　   フ
　　　　　 | 　_　 _|
　 　　　 ／`ミ _x ノ
　　 　 /　　　 　 |
　　　 /　  ヽ　　 ?
　／￣|　　 |　|　|
　| (￣ヽ＿_ヽ_)_)
　＼二つ

**/
#include <bits/stdc++.h>

#define fastIO ios_base::sync_with_stdio(false); cin.tie(NULL)
#define file(a) freopen(a".inp","r",stdin); freopen(a".out", "w",stdout)
#define fi first
#define se second
#define endl "\n"
#define len(s) (int)((s).size())
#define MASK(k)(1LL<<(k))
#define TASK "test"
#define int long long

using namespace std;

typedef tuple<int, int, int> tpiii;
typedef pair<double, double> pdd;
typedef pair<int, int> pii;
typedef long long ll;

const long long OO = 1e18;
const int MOD = 1e9 + 7;
const int INF = 1e9;
const int MX = 100005;

int n;
int a[MX];

struct Tnode{
    int mx, sum;
};

struct Taiki{
    int n;
    vector<Tnode> tree;

    Taiki(int n = 0) : n(n), tree(n<<2|3, {0, 0}) {}

    Tnode combine(Tnode a, Tnode b){
        return {max(a.mx, b.mx), a.sum + b.sum};
    }

    void update(int pos, int val){
        int id = 1;
        for(int lo=1, hi=n; lo<hi;){
            int mid = (lo + hi)>>1;
            if(pos <= mid) hi = mid, id = id<<1;
            else lo = mid + 1, id = id<<1|1;
        }
        tree[id] = {val, val};
        for(id>>=1; id; id>>=1) tree[id] = combine(tree[id<<1], tree[id<<1|1]);
    }

    int gsum(int l, int r, int id, const int &u, const int &v){
        if(l > v || r < u) return 0;
        if(l >= u && r <= v) return tree[id].sum;
        int mid = (l + r)>>1;
        return gsum(l, mid, id<<1, u, v)  + gsum(mid + 1, r, id<<1|1, u, v);
    }

    int gsum(int l, int r){
        return gsum(1, n, 1, l, r);
    }

    int lmx(int l, int r, int id, const int &pos, const int &val){
        if(l > pos || tree[id].mx <= val) return l - 1;
        if(l == r) return l;
        int mid = (l + r)>>1;
        int p = lmx(mid + 1, r, id<<1|1, pos, val);
        return p != mid? p : lmx(l, mid, id<<1, pos, val);
    }

    int lmx(int pos, int val){
        return lmx(1, n, 1, pos, val);
    }

    int rmx(int l, int r, int id, const int &pos, const int &val){
        if(r < pos || tree[id].mx <= val) return r + 1;
        if(l == r) return l;
        int mid = (l + r)>>1;
        int p = rmx(l, mid, id<<1, pos, val);
        return p != mid + 1? p : rmx(mid + 1, r, id<<1|1, pos, val);
    }
    
    int rmx(int pos, int val){
        return rmx(1, n, 1, pos, val);
    }

} taiki;

struct Cnode{
    vector<pii> pl, pr;
    int l, r;
    /// pl: {pl[i], ...} -> pr[i] = R;
    /// pr: {pr[i], ...} -> pl[i] = L;
    Cnode() : pl({}), pr({}), l(0), r(0) {}
};

struct Chii{
    int n;
    vector<Cnode> tree;

    Chii(int n = 0) : n(n), tree(n<<2|3, Cnode()) {}

    void build(int l, int r, int id){
        tree[id].l = l;
        tree[id].r = r;
        if(l == r) return;
        int mid = (l + r)>>1;
        build(l, mid, id<<1);
        build(mid + 1, r, id<<1|1);
    }

    void build(){
        build(1, n, 1);
    }

    Cnode combine(Cnode a, Cnode b){
        Cnode res;
        res.l = a.l;
        res.r = b.r;
        if(a.pl.size() == 0 || b.pl.size() == 0) return res;

        res.pr = a.pr;
        res.pr.pop_back();
        res.pl = b.pl;
        res.pl.pop_back();

        int bsum = taiki.gsum(b.l, b.pr[0].fi);
        for(int i=0, j=b.l - 1; i<len(b.pr);){
            while(j >= a.l){
                int p = taiki.lmx(j, bsum);
                p = max(p, a.l - 1);
                if(p != j){
                    bsum += taiki.gsum(p + 1, j);
                    j = p;
                    while(i + 1 < len(b.pr) && bsum >= ::a[b.pr[i].fi + 1]){
                        b.pr[i + 1].se += b.pr[i].se;
                        bsum += taiki.gsum(b.pr[i].fi + 1, b.pr[i + 1].fi);
                        i++;
                    }
                }
                else break;
            }
            if(j < a.l) res.pr.push_back(b.pr[i]);
            i++;
            if(i == len(b.pr)) res.pl.push_back({j + 1, b.pr.back().se});                
            else bsum += taiki.gsum(b.pr[i - 1].fi + 1, b.pr[i].fi);
            while(i + 1 < len(b.pr) && bsum >= ::a[b.pr[i].fi + 1]){
                b.pr[i + 1].se += b.pr[i].se;
                bsum += taiki.gsum(b.pr[i].fi + 1, b.pr[i + 1].fi);
                i++;
            }
        }

        bsum = taiki.gsum(a.pl[0].fi, a.r);
        for(int i=0, j=a.r + 1; i<len(a.pl); ){
            while(j <= b.r){
                int p = taiki.rmx(j, bsum);
                p = min(p, b.r + 1);
                if(p != j){
                    bsum += taiki.gsum(j, p - 1);
                    j = p;
                    while(i + 1 <len(a.pl) && bsum >= ::a[a.pl[i].fi - 1]){
                        a.pl[i + 1].se += a.pl[i].se;
                        bsum += taiki.gsum(a.pl[i + 1].fi, a.pl[i].fi - 1);
                        i++;
                    }
                }
                else break;
            }
            if(j > b.r) res.pl.push_back(a.pl[i]);
            i++;
            if(i == len(a.pl)) res.pr.push_back({j - 1, a.pl.back().se});
            else bsum += taiki.gsum(a.pl[i].fi, a.pl[i - 1].fi - 1);
            while(i + 1 <len(a.pl) && bsum >= ::a[a.pl[i].fi - 1]){
                a.pl[i + 1].se += a.pl[i].se;
                bsum += taiki.gsum(a.pl[i + 1].fi, a.pl[i].fi - 1);
                i++;
            }
        }

        sort(res.pr.begin(), res.pr.end());
        sort(res.pl.begin(), res.pl.end(), greater<pii>());
        vector<pii> tmp;
        for(pii p: res.pr){
            if(tmp.size() && tmp.back().fi == p.fi) tmp.back().se += p.se;
            else tmp.push_back(p);
        }
        res.pr = tmp;
        tmp.clear();
        for(pii p: res.pl){
            if(tmp.size() && tmp.back().fi == p.fi) tmp.back().se += p.se;
            else tmp.push_back(p);
        }
        res.pl = tmp;
        assert(len(res.pl) <= 32);
        assert(len(res.pr) <= 32);
        return res;
    }

    void update(int pos, int val){
        int id = 1;
        for(int lo=1, hi=n; lo<hi;){
            int mid = (lo + hi)>>1;
            if(pos <= mid) hi = mid, id = id<<1;
            else lo = mid + 1, id = id<<1|1;
        }
        tree[id].pl = {{pos, 1}};
        tree[id].pr = {{pos, 1}};
        for(id>>=1; id; id>>=1) tree[id] = combine(tree[id<<1], tree[id<<1|1]);
    }

    Cnode get(int l, int r, int id, const int &u, const int &v){
        if(l >= u && r <= v) return tree[id];
        int mid = (l + r)>>1;
        if(mid >= v) return get(l, mid, id<<1, u, v);
        if(mid < u) return get(mid + 1, r, id<<1|1, u, v);
        return combine(get(l, mid, id<<1, u, v), get(mid + 1, r, id<<1|1, u, v));
    }

    int get(int l, int r){
        Cnode res = get(1, n, 1, l, r);
        return res.pl.back().se;
    }

    void show(int l, int r, int id){
        cout << " === " << l << ' ' << r << " = " << id << endl;
        cout << "pl: "; for(pii p: tree[id].pl) cout << "{" << p.fi << ", " << p.se << "} ";
        cout << endl;
        cout << "pr: "; for(pii p: tree[id].pr) cout << "{" << p.fi << ", " << p.se << "} ";
        cout << endl << endl;
        if(l == r) return;
        int mid = (l + r)>>1;
        show(l, mid, id<<1);
        show(mid + 1, r, id<<1|1);
    }

    void show(){
        show(1, n, 1);
    }
} chii;



int32_t main(){
    fastIO;
    //file(TASK);

    cin >> n;
    for(int i=1; i<=n; i++) cin >> a[i];

    taiki = Taiki(n);
    chii = Chii(n);
    chii.build();

    for(int i=1; i<=n; i++) taiki.update(i, a[i]);
    for(int i=1; i<=n; i++) chii.update(i, a[i]);
    // chii.show();
    
    int q; cin >> q;
    while(q--){
        int oper, u, v;
        cin >> oper >> u >> v;
        if(oper == 1){
            a[u] = v;
            taiki.update(u, a[u]);
            chii.update(u, a[u]);
        }
        else{
            cout << chii.get(u, v) << endl;
        }
    }

    return 0;
}

• Subtask 1: 5 / 5
• Subtask 2: 8 / 8
• Subtask 3: 12 / 12
• Subtask 4: 0 / 23
• Subtask 5: 0 / 35
• Subtask 6: 0 / 17