Submission #873757

# Submission time Handle Problem Language Result Execution time Memory
873757 2023-11-15T16:20:58 Z thuanqvbn03 Cake (CEOI14_cake) C++17
0 / 100
994 ms 38828 KB
// Flower_On_Stone
#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 500005;

struct Node {
    Node *parent, *children[2];
    int label;
    int treeSize;
    Node(int label = 0) {
        parent = children[0] = children[1] = NULL;
        this->label = label;
        treeSize = 1;
    }
    int getDir(Node *a) { return (a == children[0] ? 0 : 1); }
    void pushUp() {
        treeSize = 1;
        for (int i = 0; i < 2; i++) {
            treeSize += (children[i] == NULL ? 0 : children[i]->treeSize);
        }
    }
};

int treeSize(Node *p) { return (p == NULL ? 0 : p->treeSize); }

struct SplayTree {
    Node *root;
    SplayTree(Node *node = NULL) {
        root = node;
        if (root != NULL) {
            root->parent = NULL;
        }
    }
    void link(Node *a, Node *b, int dir) {
        if (a == NULL) {
            root = b;
            if (root != NULL) {
                root->parent = NULL;
            }
            return;
        }
        a->children[dir] = b;
        if (b != NULL) {
            b->parent = a;
        }
    }
    void rotate(Node *a, int dir) {
        Node *b = a->children[dir];
        Node *p = a->parent;
        int parDir = (p == NULL ? 0 : p->getDir(a));
        link(a, b->children[dir ^ 1], dir);
        link(b, a, dir ^ 1);
        link(p, b, parDir);
    }
    void splay(Node *a) {
        while (a->parent != NULL) {
            int dir = a->parent->getDir(a);
            if (a->parent->parent == NULL) {
                rotate(a->parent, dir);
                a->children[dir ^ 1]->pushUp();
            } else {
                int parDir = a->parent->parent->getDir(a->parent);
                if (parDir == dir) {
                    rotate(a->parent->parent, parDir);
                    rotate(a->parent, dir);
                    a->children[dir ^ 1]->children[parDir ^ 1]->pushUp();
                    a->children[dir ^ 1]->pushUp();
                } else {
                    rotate(a->parent, dir);
                    rotate(a->parent, parDir);
                    for (int i = 0; i < 2; i++) {
                        a->children[i]->pushUp();
                    }
                }
            }
            a->pushUp();
        }
    }
    void find(int pos) {
        Node *p = root;
        while (true) {
            int left = treeSize(p->children[0]);
            int mid = 1;
            if (left >= pos) {
                p = p->children[0];
            } else if (left + mid >= pos) {
                return splay(p);
            } else {
                pos -= left + mid;
                p = p->children[1];
            }
        }
    }
    int getPos(Node *p) {
        splay(p);
        return treeSize(root->children[0]) + 1;
    }
    void merge(SplayTree other) {
        if (other.root == NULL) {
            return;
        }
        if (root == NULL) {
            root = other.root;
            return;
        }
        find(treeSize(root));
        link(root, other.root, 1);
        root->pushUp();
    }
    SplayTree split(int pos) {
        if (pos > treeSize(root)) {
            return SplayTree();
        }
        if (pos == 1) {
            Node *tmp = root;
            root = NULL;
            return SplayTree(tmp);
        }
        find(pos - 1);
        Node *tmp = root->children[1];
        root->children[1] = NULL;
        tmp->parent = NULL;
        root->pushUp();
        return SplayTree(tmp);
    }
    Node *insert(int label) {
        Node *tmp = new Node(label);
        merge(SplayTree(tmp));
        return tmp;
    }
    void moveTree(int from, int to) {
        SplayTree tmp = split(from + 1);
        SplayTree subtree = split(from);
        merge(tmp);
        tmp = split(to - 1);
        merge(subtree);
        merge(tmp);
    }
    int query(int pos) {
        find(pos);
        return root->label;
    }
};

struct SegmentTree {
   private:
    int treeSize;
    vector<int> nodes, leaf;
    void initTree(int id, int low, int high, int arr[]) {
        if (low == high) {
            nodes[id] = arr[low];
            leaf[low] = id;
            return;
        }
        int mid = (low + high) / 2;
        initTree(id * 2, low, mid, arr);
        initTree(id * 2 + 1, mid + 1, high, arr);
        nodes[id] = max(nodes[id * 2], nodes[id * 2 + 1]);
    }
    int get(int id, int low, int high, int left, int right) {
        if (low > right || high < left) {
            return 0;
        }
        if (low >= left && high <= right) {
            return nodes[id];
        }
        int mid = (low + high) / 2;
        return max(get(id * 2, low, mid, left, right),
                   get(id * 2 + 1, mid + 1, high, left, right));
    }

   public:
    void init(int treeSize, int arr[]) {
        this->treeSize = treeSize;
        int tmp = 1;
        while (tmp < treeSize) {
            tmp *= 2;
        }
        nodes.resize(tmp * 2);
        leaf.resize(treeSize + 1);
        initTree(1, 1, treeSize, arr);
    }
    void update(int id, int value) {
        id = leaf[id];
        nodes[id] = value;
        while (id > 1) {
            id /= 2;
            nodes[id] = max(nodes[id * 2], nodes[id * 2 + 1]);
        }
    }
    int get(int left, int right) { return get(1, 1, treeSize, left, right); }
} smt;

struct Query {
    char type;
    int pos, u, v;
};

struct FenwickTree {
    int treeSize, logTreeSize;
    vector<int> nodes;
    void init(int treeSize) {
        this->treeSize = treeSize;
        nodes.assign(treeSize + 1, 0);
        logTreeSize = log2(treeSize) + 1;
    }
    void update(int id, int val) {
        for (; id <= treeSize; id += (id & -id)) {
            nodes[id] += val;
        }
    }
    int get(int id) {
        int result = 0;
        for (; id >= 1; id -= (id & -id)) {
            result += nodes[id];
        }
        return result;
    }
    int lifting(int value) {
        int sum=0, pos = 0;
        
        for (int i = logTreeSize; i >= 0; i--) {
            if (pos + (1 << i) <= treeSize &&
                sum + nodes[pos + (1 << i)] < value) {
                pos += (1 << i);
                sum += nodes[pos];
            }
        }
        return pos + 1;
    }
} ft;

int numCake, firstEat, numQuery, maxCake;
int cake[MAX_N];
SplayTree splayTree;
Query queries[MAX_N];
Node *nodes[MAX_N];

void buildSplayTree() {
    vector<pair<int, int>> tmp(numCake);
    for (int i = 1; i <= numCake; i++) {
        tmp[i - 1] = make_pair(cake[i], i);
    }
    sort(tmp.begin(), tmp.end());
    splayTree = SplayTree(NULL);
    for (auto &[u, v] : tmp) {
        nodes[v] = splayTree.insert(v);
    }
}

void buildCurrentRate() {
    for (int i = 1; i <= numQuery; i++) {
        if (queries[i].type == 'E') {
            queries[i].u = splayTree.getPos(nodes[queries[i].pos]);
            queries[i].v = numCake - queries[i].v + 1;
            splayTree.moveTree(queries[i].u, queries[i].v);
        }
    }
}

void buildTarget() {
    ft.init(numCake + numQuery);
    for (int i = 1; i <= numCake; i++) {
        ft.update(i, 1);
    }
    int maxValue = numCake;
    for (int i = 1; i <= numQuery; i++) {
        if (queries[i].type == 'E') {
            maxValue++;
            queries[i].u = ft.lifting(queries[i].u);
            ft.update(queries[i].u, -1);
            ft.update(maxValue, 1);
        }
    }
    for (int i = numQuery; i >= 1; i--) {
        if (queries[i].type == 'E') {
            queries[i].v = ft.lifting(queries[i].v);
            ft.update(queries[i].u, 1);
            ft.update(queries[i].v, -1);
        }
    }
}
 
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);

    cin >> numCake >> firstEat;
    maxCake = numCake;
    for (int i = 1; i <= numCake; i++) {
        cin >> cake[i];
    }
    cin >> numQuery;
    for (int i = 1; i <= numQuery; i++) {
        cin >> queries[i].type;
        if (queries[i].type == 'E') {
            cin >> queries[i].pos >> queries[i].v;
        } else {
            cin >> queries[i].pos;
        }
    }
    buildSplayTree();
    buildCurrentRate();
    buildTarget();
    for (int i = 1; i <= numCake; i++)
    {
        cake[i] = ft.lifting(cake[i]);
    }
    smt.init(numCake, cake);
    for (int i = 1; i <= numQuery; i++) {
        if (queries[i].type == 'E') {
            smt.update(queries[i].pos, queries[i].v);
        } else {
            if (queries[i].pos == firstEat) {
                cout << 0 << '\n';
                continue;
            } else if (queries[i].pos < firstEat) {
                int maxSegment = smt.get(queries[i].pos, firstEat - 1);
                int low = firstEat, high = numCake;
                while (low <= high) {
                    int mid = (low + high) / 2;
                    if (smt.get(firstEat + 1, mid) < maxSegment) {
                        low = mid + 1;
                    } else {
                        high = mid - 1;
                    }
                }
                cout << high - queries[i].pos << '\n';
            } else {
                int maxSegment = smt.get(firstEat + 1, queries[i].pos);
                int low = 1, high = firstEat;
                while (low <= high) {
                    int mid = (low + high) / 2;
                    if (smt.get(mid, firstEat - 1) < maxSegment) {
                        high = mid - 1;
                    } else {
                        low = mid + 1;
                    }
                }
                cout << queries[i].pos - low << '\n';
            }
        }
    }

    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Incorrect 1 ms 4596 KB Output isn't correct
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 323 ms 17764 KB Output isn't correct
2 Correct 197 ms 17856 KB Output is correct
3 Correct 282 ms 17900 KB Output is correct
4 Correct 187 ms 17784 KB Output is correct
5 Incorrect 368 ms 21100 KB Output isn't correct
6 Correct 305 ms 21384 KB Output is correct
7 Correct 299 ms 21248 KB Output is correct
8 Correct 202 ms 21484 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 256 ms 17600 KB Output is correct
2 Correct 154 ms 17460 KB Output is correct
3 Incorrect 167 ms 17484 KB Output isn't correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 291 ms 28636 KB Output is correct
6 Incorrect 329 ms 28164 KB Output isn't correct
7 Incorrect 270 ms 28012 KB Output isn't correct
# Verdict Execution time Memory Grader output
1 Incorrect 57 ms 7448 KB Output isn't correct
2 Correct 58 ms 7768 KB Output is correct
3 Correct 139 ms 13516 KB Output is correct
4 Correct 116 ms 13756 KB Output is correct
5 Incorrect 123 ms 8688 KB Output isn't correct
6 Correct 265 ms 15944 KB Output is correct
7 Correct 197 ms 12368 KB Output is correct
8 Correct 166 ms 20528 KB Output is correct
9 Incorrect 994 ms 38828 KB Output isn't correct
10 Incorrect 406 ms 17572 KB Output isn't correct
11 Correct 546 ms 20128 KB Output is correct
12 Correct 921 ms 35364 KB Output is correct
13 Incorrect 930 ms 38792 KB Output isn't correct