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:heavy_check_mark: library/test/yosupo/predecessor_problem.segtree.test.cpp

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Code

#define PROBLEM "https://judge.yosupo.jp/problem/predecessor_problem"
#include <bits/stdc++.h>
using namespace std;
#include "../../segtree/segtree.hpp"

#define ff first
#define ss second
#define pb push_back
typedef long long ll;
typedef pair<int,int> pii;
#define all(v) (v).begin(),(v).end()
#define db(x) cerr<<__LINE__<<": "<<#x<<" = "<<(x)<<'\n'
const char en = '\n';
const int inf = 1e9+7;
const int N = 1e6+9;

int op(int a, int b) { return a | b; }
int e() { return 0; }
int f(int a) {
    return !a;
}

int main() {
    ios_base::sync_with_stdio(0);
    int n, q;
    string s;
    cin>>n>>q>>s;
    vector<int> v(n);
    for(int i=0;i<n;++i) 
        if(s[i]=='1') v[i] = 1;
    SegmentTree<int, op, e> seg(v);
    while(q--) {
        int typ, k;
        cin>>typ>>k;
        if(typ==0) {
            if(!seg.get(k))
                seg.set(k, 1);
        } else if(typ==1) {
            if(seg.get(k))
                seg.set(k, 0);
        } else if(typ==2) {
            if(seg.get(k))
                cout<<"1\n";
            else cout<<"0\n";
        } else if(typ==3) {
            int res = seg.max_right(k, f);
            if(res==n) res = -1;
            cout<<res<<en;
        } else if(typ==4) {
            int res = seg.min_left(k+1, f);
            --res;
            cout<<res<<en;
        }
    }
    return 0;
}
#line 1 "library/test/yosupo/predecessor_problem.segtree.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/predecessor_problem"
#include <bits/stdc++.h>
using namespace std;
#line 2 "library/segtree/segtree.hpp"

template <class S, S (*op)(S, S), S (*e)()>
struct SegmentTree {
  private:
    int _n, size, log;
    vector<S> dat;
    void update(int k) { dat[k] = op(dat[2 * k], dat[2 * k + 1]); }

  public:
    SegmentTree() : SegmentTree(0) {}
    SegmentTree(int n) : SegmentTree(vector<S>(n, e())) {}
    SegmentTree(const vector<S>& v) : _n(int(v.size())) {
        log = 0;
        while ((1 << log) < _n) log++;
        size = 1 << log;
        dat = vector<S>(2 * size, e());
        for (int i = 0; i < _n; i++) dat[size + i] = v[i];
        for (int i = size - 1; i >= 1; i--) {
            update(i);
        }
    }
    // a[p] = x
    void set(int p, S x) {
        p += size;
        dat[p] = x;
        for (int i = 1; i <= log; i++) update(p >> i);
    }
    // return a[p]
    S get(int p) const { return dat[p + size]; }
    // return op(a[l], ..., a[r-1]), return e() if l = r
    S prod(int l, int r) const {
        S sml = e(), smr = e();
        l += size;
        r += size;
        while (l < r) {
            if (l & 1) sml = op(sml, dat[l++]);
            if (r & 1) smr = op(dat[--r], smr);
            l >>= 1;
            r >>= 1;
        }
        return op(sml, smr);
    }
    // return op(a[l], ..., a[r-1]), return e() if n = 0
    S all_prod() const { return dat[1]; }

    // Binary search on SegmentTree (if needed)
    // return r, f(op(a[l], ..., a[r-1])) == true
    template <bool (*f)(S)>
    int max_right(int l) const {
        return max_right(l, [](S x) { return f(x); });
    }
    template <class F>
    int max_right(int l, F f) const {
        assert(f(e()));
        if (l == _n) return _n;
        l += size;
        S sm = e();
        do {
            while (l % 2 == 0) l >>= 1;
            if (!f(op(sm, dat[l]))) {
                while (l < size) {
                    l = (2 * l);
                    if (f(op(sm, dat[l]))) {
                        sm = op(sm, dat[l]);
                        l++;
                    }
                }
                return l - size;
            }
            sm = op(sm, dat[l]);
            l++;
        } while ((l & -l) != l);
        return _n;
    }
    // return l, f(op(a[l], ..., a[r-1])) == true
    template <bool (*f)(S)>
    int min_left(int r) const {
        return min_left(r, [](S x) { return f(x); });
    }
    template <class F>
    int min_left(int r, F f) const {
        assert(f(e()));
        if (r == 0) return 0;
        r += size;
        S sm = e();
        do {
            r--;
            while (r > 1 && (r % 2)) r >>= 1;
            if (!f(op(dat[r], sm))) {
                while (r < size) {
                    r = (2 * r + 1);
                    if (f(op(dat[r], sm))) {
                        sm = op(dat[r], sm);
                        r--;
                    }
                }
                return r + 1 - size;
            }
            sm = op(dat[r], sm);
        } while ((r & -r) != r);
        return 0;
    }
}; // SegmentTree
#line 5 "library/test/yosupo/predecessor_problem.segtree.test.cpp"

#define ff first
#define ss second
#define pb push_back
typedef long long ll;
typedef pair<int,int> pii;
#define all(v) (v).begin(),(v).end()
#define db(x) cerr<<__LINE__<<": "<<#x<<" = "<<(x)<<'\n'
const char en = '\n';
const int inf = 1e9+7;
const int N = 1e6+9;

int op(int a, int b) { return a | b; }
int e() { return 0; }
int f(int a) {
    return !a;
}

int main() {
    ios_base::sync_with_stdio(0);
    int n, q;
    string s;
    cin>>n>>q>>s;
    vector<int> v(n);
    for(int i=0;i<n;++i) 
        if(s[i]=='1') v[i] = 1;
    SegmentTree<int, op, e> seg(v);
    while(q--) {
        int typ, k;
        cin>>typ>>k;
        if(typ==0) {
            if(!seg.get(k))
                seg.set(k, 1);
        } else if(typ==1) {
            if(seg.get(k))
                seg.set(k, 0);
        } else if(typ==2) {
            if(seg.get(k))
                cout<<"1\n";
            else cout<<"0\n";
        } else if(typ==3) {
            int res = seg.max_right(k, f);
            if(res==n) res = -1;
            cout<<res<<en;
        } else if(typ==4) {
            int res = seg.min_left(k+1, f);
            --res;
            cout<<res<<en;
        }
    }
    return 0;
}

Test cases

Env Name Status Elapsed Memory
g++ example_00 :heavy_check_mark: AC 6 ms 4 MB
g++ hack_00 :heavy_check_mark: AC 26 ms 4 MB
g++ max_all0_00 :heavy_check_mark: AC 1356 ms 184 MB
g++ max_all0_01 :heavy_check_mark: AC 1299 ms 184 MB
g++ max_all1_00 :heavy_check_mark: AC 1020 ms 184 MB
g++ max_all1_01 :heavy_check_mark: AC 1042 ms 184 MB
g++ max_query0_1_2_00 :heavy_check_mark: AC 673 ms 184 MB
g++ max_query0_1_2_01 :heavy_check_mark: AC 651 ms 184 MB
g++ max_random_00 :heavy_check_mark: AC 973 ms 184 MB
g++ max_random_01 :heavy_check_mark: AC 994 ms 185 MB
g++ max_sparse_00 :heavy_check_mark: AC 1352 ms 184 MB
g++ max_sparse_01 :heavy_check_mark: AC 1337 ms 185 MB
g++ medium_00 :heavy_check_mark: AC 103 ms 4 MB
g++ medium_01 :heavy_check_mark: AC 80 ms 4 MB
g++ medium_02 :heavy_check_mark: AC 78 ms 4 MB
g++ medium_03 :heavy_check_mark: AC 108 ms 4 MB
g++ medium_04 :heavy_check_mark: AC 109 ms 4 MB
g++ small_00 :heavy_check_mark: AC 76 ms 4 MB
g++ small_01 :heavy_check_mark: AC 77 ms 4 MB
g++ small_02 :heavy_check_mark: AC 78 ms 4 MB
g++ small_03 :heavy_check_mark: AC 75 ms 4 MB
g++ small_04 :heavy_check_mark: AC 76 ms 4 MB
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