Submission #796948

#	Time	Username	Problem	Language	Result	Execution time	Memory
796948		eltu0815	Fish 2 (JOI22_fish2)	C++14	0 / 100	1282 ms	40292 KiB

fish2

#include <bits/stdc++.h>
#define MAX 500005
#define MOD (ll)(1e9+7)
#define INF (ll)(1e18)
#define inf (1987654321)
 
using namespace std;    
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
 
int n, q;
int arr[100005];

struct SEG1 {
    ll seg[400005];
    void update(int str, int ed, int idx, ll val, int node) {
        if(str == ed) {
            seg[node] = val;
            return;
        }
        int mid = str + ed >> 1;
        if(idx <= mid) update(str, mid, idx, val, node << 1);
        else update(mid + 1, ed, idx, val, node << 1 | 1);
        seg[node] = seg[node << 1] + seg[node << 1 | 1];
    }
    ll query(int str, int ed, int left, int right, int node) {
        if(str > right || ed < left) return 0;
        if(left <= str && ed <= right) return seg[node];
        int mid = str + ed >> 1;
        return query(str, mid, left, right, node << 1) + query(mid + 1, ed, left, right, node << 1 | 1);
    }
} seg1;

struct SEG2 {
    int seg[400005];
    void update(int str, int ed, int idx, int val, int node) {
        if(str == ed) {
            seg[node] = val;
            return;
        }
        int mid = str + ed >> 1;
        if(idx <= mid) update(str, mid, idx, val, node << 1);
        else update(mid + 1, ed, idx, val, node << 1 | 1);
        seg[node] = max(seg[node << 1], seg[node << 1 | 1]);
    }
    int get_mx(int str, int ed, int left, int right, int val, int node) {
        if(str > right || ed < left) return -1;
        if(seg[node] <= val) return -1;
        if(str == ed) return str;
        int mid = str + ed >> 1;
        int tmp = get_mx(mid + 1, ed, left, right, val, node << 1 | 1);
        if(tmp != -1) return tmp;
        return get_mx(str, mid, left, right, val, node << 1);
    }
    int get_mn(int str, int ed, int left, int right, ll val, int node) {
        if(str > right || ed < left) return -1;
        if(seg[node] <= val) return -1;
        if(str == ed) return str;
        int mid = str + ed >> 1;
        int tmp = get_mn(str, mid, left, right, val, node << 1);
        if(tmp != -1) return tmp;
        return get_mn(mid + 1, ed, left, right, val, node << 1 | 1);
    }
} seg2;

struct SEG3 {
    struct Node{
        int mn, cnt;
        Node(int a = 0, int b = 1) { mn = a, cnt = b; }
    };
    Node seg[400005];
    int lazy[400005];
    Node Merge(Node l, Node r) {
        Node ret; ret.cnt = 0;
        ret.mn = min(l.mn, r.mn);
        if(l.mn == ret.mn) ret.cnt += l.cnt;
        if(r.mn == ret.mn) ret.cnt += r.cnt;
        return ret;
    }
    void init(int str, int ed, int node) {
        lazy[node] = 0;
        if(str == ed) {
            seg[node].mn = 0, seg[node].cnt = 1;
            return;
        }
        int mid = str + ed >> 1;
        init(str, mid, node << 1);
        init(mid + 1, ed, node << 1 | 1);
        seg[node] = Merge(seg[node << 1], seg[node << 1 | 1]);
    }
    void lazyProp(int str, int ed, int node) {
        if(lazy[node]) {
            seg[node].mn += lazy[node];
            if(str != ed) {
                lazy[node << 1] += lazy[node];
                lazy[node << 1 | 1] += lazy[node];
            }
            lazy[node] = 0;
        }
    }
    void update(int str, int ed, int left, int right, int val, int node) {
        lazyProp(str, ed, node);
        if(str > right || ed < left) return;
        if(left <= str && ed <= right) {
            lazy[node] += val;
            lazyProp(str, ed, node);
            return;
        }
        int mid = str + ed >> 1;
        update(str, mid, left, right, val, node << 1);
        update(mid + 1, ed, left, right, val, node << 1 | 1);
        seg[node] = Merge(seg[node << 1], seg[node << 1 | 1]);
    }
    Node query(int str, int ed, int left, int right, int node) {
        lazyProp(str, ed, node);
        if(str > right || ed < left) return Node(inf, 0);
        if(left <= str && ed <= right) return seg[node];
        int mid = str + ed >> 1;
        return Merge(query(str, mid, left, right, node << 1), query(mid + 1, ed, left, right, node << 1 | 1));
    }
} seg3;

set<pii> s;
struct SEG4 {
    vector<pii> seg[400005];
    void update(int str, int ed, int l, int r, int node) {
        int mid = str + ed >> 1;
        if(str == ed || (l <= mid && r > mid)) {
            seg[node].push_back({l, r});
            seg3.update(1, n, l, r, 1, 1);
            return;
        }
        if(r <= mid) update(str, mid, l, r, node << 1);
        else update(mid + 1, ed, l, r, node << 1 | 1);
    }
    
    void erasex(int str, int ed, int x, int node) {
        while(!seg[node].empty() && seg[node].back().first <= x && x <= seg[node].back().second) {
            seg3.update(1, n, seg[node].back().first, seg[node].back().second, -1, 1);
            s.erase({seg[node].back().first, seg[node].back().second});
            seg[node].pop_back();
        }
        if(str == ed) return;
        int mid = str + ed >> 1;
        if(x <= mid) erasex(str, mid, x, node << 1);
        else erasex(mid + 1, ed, x, node << 1 | 1);
    }
} seg4;

void update(int i) {
    vector<pii> left, right;
    int j = i;
    while(j > 1) {
        j = seg2.get_mx(1, n, 1, j - 1, arr[j], 1);
        if(j == -1) break;
        left.push_back({j, seg1.query(1, n, 1, j, 1)});
    }
    
    j = i;
    while(j < n) {
        j = seg2.get_mn(1, n, j + 1, n, arr[j], 1);
        if(j == -1) break;
        right.push_back({j, seg1.query(1, n, 1, j - 1, 1)});
    }
    
    vector<pii> range;
    for(auto l : left) for(auto r : right) {
        if(r.second - l.second < min(arr[r.first], arr[l.first])) {
            range.push_back({l.first + 1, r.first - 1});
        }
    }
    if(i > 1 && seg1.query(1, n, 1, i - 1, 1) < arr[i]) range.push_back({1, i - 1});
    if(i < n && seg1.query(1, n, i + 1, n, 1) < arr[i]) range.push_back({i + 1, n});
    sort(range.begin(), range.end(), [&](auto a, auto b) {
            if(a.first != b.first) return a.first >= b.first;
            else return a.second <= b.second;
        });
    
    for(auto [l, r] : range) {
        if(s.find({l, r}) == s.end()) {
            seg4.update(1, n, l, r, 1);
            s.insert({l, r});
        }
    }
}

int compL(int i, int lim) {
    vector<int> right;
    int j = i;
    while(j < n) {
        j = seg2.get_mn(1, n, j + 1, n, arr[j], 1);
        if(j == -1) break;
        right.push_back(j);
    }
    int mx = i;
    for(auto r : right) {
        if(r <= lim && seg1.query(1, n, i, r - 1, 1) < arr[r]) mx = max(mx, r);
    }
    return mx;
}

int compR(int i, int lim) {
    vector<int> left;
    int j = i;
    while(j > 1) {
        j = seg2.get_mx(1, n, 1, j - 1, arr[j], 1);
        if(j == -1) break;
        left.push_back(j);
    }
    int mn = i;
    for(auto l : left) {
        if(l >= lim && seg1.query(1, n, l + 1, i, 1) < arr[l]) mn = min(mn, l);
    }
    return mn;
}

int main()
{
    ios::sync_with_stdio(false);
    cin.tie(NULL);
    
    cin >> n; seg3.init(1, n, 1);
    for(int i = 1; i <= n; ++i) cin >> arr[i];
    for(int i = 1; i <= n; ++i) seg1.update(1, n, i, arr[i], 1);
    for(int i = 1; i <= n; ++i) seg2.update(1, n, i, arr[i], 1);
    for(int i = 1; i <= n; ++i) update(i);
    
    cin >> q;
    while(q--) {
        int t, a, b; cin >> t >> a >> b;
        if(t == 1) {
            seg4.erasex(1, n, a, 1);
            if(a > 1) seg4.erasex(1, n, a - 1, 1);
            if(a < n) seg4.erasex(1, n, a + 1, 1);
            arr[a] = b;
            seg1.update(1, n, a, b, 1);
            update(a);
            if(a > 1) update(a - 1);
            if(a < n) update(a + 1);
        }
        else {
            int l = a, r = b;
            a = compL(a, r); b = compR(b, l);
            assert(a <= b);
            cout << seg3.query(1, n, a, b, 1).cnt << '\n';
        }
    }
    return 0;
}

Compilation message (stderr)

fish2.cpp: In member function 'void SEG1::update(int, int, int, ll, int)':
fish2.cpp:22:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   22 |         int mid = str + ed >> 1;
      |                   ~~~~^~~~
fish2.cpp: In member function 'll SEG1::query(int, int, int, int, int)':
fish2.cpp:30:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   30 |         int mid = str + ed >> 1;
      |                   ~~~~^~~~
fish2.cpp: In member function 'void SEG2::update(int, int, int, int, int)':
fish2.cpp:42:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   42 |         int mid = str + ed >> 1;
      |                   ~~~~^~~~
fish2.cpp: In member function 'int SEG2::get_mx(int, int, int, int, int, int)':
fish2.cpp:51:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   51 |         int mid = str + ed >> 1;
      |                   ~~~~^~~~
fish2.cpp: In member function 'int SEG2::get_mn(int, int, int, int, ll, int)':
fish2.cpp:60:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   60 |         int mid = str + ed >> 1;
      |                   ~~~~^~~~
fish2.cpp: In member function 'void SEG3::init(int, int, int)':
fish2.cpp:87:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   87 |         int mid = str + ed >> 1;
      |                   ~~~~^~~~
fish2.cpp: In member function 'void SEG3::update(int, int, int, int, int, int)':
fish2.cpp:110:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  110 |         int mid = str + ed >> 1;
      |                   ~~~~^~~~
fish2.cpp: In member function 'SEG3::Node SEG3::query(int, int, int, int, int)':
fish2.cpp:119:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  119 |         int mid = str + ed >> 1;
      |                   ~~~~^~~~
fish2.cpp: In member function 'void SEG4::update(int, int, int, int, int)':
fish2.cpp:128:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  128 |         int mid = str + ed >> 1;
      |                   ~~~~^~~~
fish2.cpp: In member function 'void SEG4::erasex(int, int, int, int)':
fish2.cpp:145:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  145 |         int mid = str + ed >> 1;
      |                   ~~~~^~~~
fish2.cpp: In function 'void update(int)':
fish2.cpp:180:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  180 |     for(auto [l, r] : range) {
      |              ^

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