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Submission #1101232

# Submission time Handle Problem Language Result Execution time Memory
1101232 2024-10-15T20:32:41 Z Kirill22 Permutation Recovery (info1cup17_permutation) C++17
43 / 100
 4000 ms 2772 KB 
#include "bits/stdc++.h"

using namespace std;

//const int MOD = (int) 1e9 + 7;
vector<int> mods;

struct Int {
    vector<int> val;

    Int(string s = "") {
        for (auto& mod : mods) {
            int ans = 0;
            for (auto& c : s) {
                ans = (ans * 10ll + c - '0') % mod;
            }
            val.push_back(ans);
        }
    }

    Int& operator+=(const Int& other) {
        for (int i = 0; i < (int) mods.size(); i++) {
            val[i] += other.val[i];
            if (val[i] >= mods[i]) {
                val[i] -= mods[i];
            }
        }
        return *this;
    }

    Int& operator-=(const Int& other) {
        for (int i = 0; i < (int) mods.size(); i++) {
            val[i] -= other.val[i];
            if (val[i] < 0) {
                val[i] += mods[i];
            }
        }
        return *this;
    }

    bool operator==(const Int& other) const {
        return val == other.val;
    }
};

constexpr int mod = 998244353;

int normalize(int x) {
    if (x >= mod) {
        x -= mod;
    }
    if (x < 0) {
        x += mod;
    }
    return x;
}

template<typename T>
T power(T a, long long n) {
    T res = 1;
    for (; n; n /= 2, a *= a) {
        if (n % 2) {
            res *= a;
        }
    }
    return res;
}

class Mint {
public:
    int x;

    Mint(int x = 0) : x(normalize(x)) {}
    Mint(long long x) : x(normalize(x % mod)) {}

    int val() const {
        return x;
    }

    Mint operator-() const {
        return Mint(normalize(mod - x));
    }

    Mint inv() const {
        return power(*this, mod - 2);
    }

    Mint& operator*=(const Mint& rhs) {
        x = x * 1ll * rhs.x % mod;
        return *this;
    }

    Mint& operator+=(const Mint& rhs) {
        x = normalize(x + rhs.x);
        return *this;
    }

    Mint& operator-=(const Mint& rhs) {
        x = normalize(x - rhs.x);
        return *this;
    }

    Mint& operator/=(const Mint& rhs) {
        return *this *= rhs.inv();
    }

    friend Mint operator*(const Mint& lhs, const Mint& rhs) {
        Mint res = lhs;
        res *= rhs;
        return res;
    }

    friend Mint operator+(const Mint& lhs, const Mint& rhs) {
        Mint res = lhs;
        res += rhs;
        return res;
    }

    friend Mint operator-(const Mint& lhs, const Mint& rhs) {
        Mint res = lhs;
        res -= rhs;
        return res;
    }

    friend Mint operator/(const Mint& lhs, const Mint& rhs) {
        Mint res = lhs;
        res /= rhs;
        return res;
    }

    bool operator==(const Mint& rhs) const {
        return x == rhs.x;
    }
};

using mint = Mint;

vector<mint> fact(1, 1);
vector<mint> inv_fact(1, 1);

void fast(int n) {
    while ((int) fact.size() < n + 1) {
        fact.push_back(fact.back() * (int) fact.size());
    }
    inv_fact.resize(n + 1, 1);
    inv_fact[n] = 1 / fact[n];
    for (int i = n - 1; i >= 2; i--) {
        inv_fact[i] = inv_fact[i + 1] * (i + 1);
    }
}

mint C(int n, int k) {
    if (k < 0 || k > n) {
        return 0;
    }
    while ((int) fact.size() < n + 1) {
        fact.push_back(fact.back() * (int) fact.size());
        inv_fact.push_back(fact.back().inv());
    }
    return fact[n] * inv_fact[k] * inv_fact[n - k];
}

string to_string(mint x) {
    return to_string(x.x);
}

void solve() {
    mods = {998244353};
    // mods = {(int) 1e9 + 7, 998244353, (int) 1e9 + 13};
    int n;
    cin >> n;
    vector<mint> a(n);
    for (int i = 0; i < n; i++) {
        string s;
        cin >> s;
        a[i] = 0;
        for (auto& c : s) {
            a[i] = a[i] * 10 + c - '0';
        }
    }
    for (int i = n - 1; i; i--) {
        a[i] -= a[i - 1];
    }
    const int B = 500;
    vector<vector<int>> block(n / B + 1);
    vector<int> res(n / B + 1);
    vector<unordered_map<int, int>> dp(n / B + 1);
    auto rebuild = [&] (int b) {
        dp[b].clear();
        mint sum = 0;
        dp[b][sum.x] = 0;
        int cnt = 0;
        for (auto i : block[b]) {
            sum += a[i];
            dp[b][sum.x] = ++cnt;
        }
        res[b] = sum.x;
    };
    block[0].push_back(0);
    rebuild(0);
    auto Rebuild = [&] () {
        vector<int> ord;
        for (auto& b : block) {
            for (auto& i : b) {
                ord.push_back(i);
            }
        }
        block.clear();
        block.resize(n / B + 1);
        for (int i = 0; i < (int) ord.size(); i++) {
            block[i / B].push_back(ord[i]);
        }
        for (int i = 0; i < (int) block.size(); i++) {
            rebuild(i);
        }
    };
    for (int i = 1; i < n; i++) {
        mint need = a[i] - 1;
        for (int j = 0; ; j++) {
            if (dp[j].find(need.x) != dp[j].end()) {
                int pos = dp[j][need.x];
                block[j].insert(block[j].begin() + pos, i);
                rebuild(j);
                break;
            } else {
                need -= res[j];
            }
        }
        if (i % 10 == 0) {
            Rebuild();
        }
    }
    vector<int> ans(n), ord;
    for (auto& b : block) {
        for (auto& i : b) {
            ord.push_back(i);
        }
    }
    for (int i = 0; i < n; i++) {
        ans[ord[i]] = i;
//        root = nxt[root];
    }
    for (int i = 0; i < n; i++) {
        cout << ans[i] + 1 << " ";
    }
    cout << '\n';
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int t = 1;
//    cin >> t;
    while (t--) {
        solve();
    }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 3 ms 336 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 3 ms 336 KB Output is correct
3 Correct 7 ms 336 KB Output is correct
4 Correct 5 ms 520 KB Output is correct

Subtask #4
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 3 ms 336 KB Output is correct
3 Correct 7 ms 336 KB Output is correct
4 Correct 5 ms 520 KB Output is correct
5 Execution timed out 4070 ms 2772 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #5
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 3 ms 336 KB Output is correct
3 Correct 7 ms 336 KB Output is correct
4 Correct 5 ms 520 KB Output is correct
5 Execution timed out 4070 ms 2772 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #6
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 3 ms 336 KB Output is correct
3 Correct 7 ms 336 KB Output is correct
4 Correct 5 ms 520 KB Output is correct
5 Execution timed out 4070 ms 2772 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #7
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 3 ms 336 KB Output is correct
3 Correct 7 ms 336 KB Output is correct
4 Correct 5 ms 520 KB Output is correct
5 Execution timed out 4070 ms 2772 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #8
0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 3 ms 336 KB Output is correct
3 Correct 7 ms 336 KB Output is correct
4 Correct 5 ms 520 KB Output is correct
5 Execution timed out 4070 ms 2772 KB Time limit exceeded
6 Halted 0 ms 0 KB -