結果

問題 No.1300 Sum of Inversions
ユーザー Konton7Konton7
提出日時 2020-11-27 23:20:51
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 16,255 bytes
コンパイル時間 3,422 ms
コンパイル使用メモリ 259,148 KB
実行使用メモリ 40,220 KB
最終ジャッジ日時 2024-09-13 01:02:45
合計ジャッジ時間 21,020 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
6,816 KB
testcase_01 AC 2 ms
6,812 KB
testcase_02 AC 2 ms
6,944 KB
testcase_03 AC 569 ms
36,808 KB
testcase_04 AC 536 ms
34,756 KB
testcase_05 AC 415 ms
23,120 KB
testcase_06 AC 634 ms
36,600 KB
testcase_07 AC 601 ms
35,976 KB
testcase_08 AC 668 ms
37,536 KB
testcase_09 AC 660 ms
38,724 KB
testcase_10 AC 344 ms
21,316 KB
testcase_11 AC 353 ms
21,408 KB
testcase_12 AC 566 ms
35,484 KB
testcase_13 AC 544 ms
35,172 KB
testcase_14 AC 750 ms
38,936 KB
testcase_15 AC 656 ms
38,880 KB
testcase_16 AC 565 ms
35,964 KB
testcase_17 AC 316 ms
20,896 KB
testcase_18 AC 372 ms
22,380 KB
testcase_19 AC 477 ms
34,712 KB
testcase_20 AC 490 ms
33,788 KB
testcase_21 AC 496 ms
33,488 KB
testcase_22 AC 422 ms
23,352 KB
testcase_23 AC 634 ms
37,328 KB
testcase_24 AC 434 ms
23,444 KB
testcase_25 AC 367 ms
22,060 KB
testcase_26 AC 361 ms
21,900 KB
testcase_27 AC 399 ms
22,940 KB
testcase_28 AC 665 ms
37,884 KB
testcase_29 AC 465 ms
33,912 KB
testcase_30 AC 647 ms
38,944 KB
testcase_31 AC 401 ms
23,332 KB
testcase_32 AC 435 ms
23,684 KB
testcase_33 AC 26 ms
10,880 KB
testcase_34 AC 41 ms
10,880 KB
testcase_35 AC 323 ms
40,220 KB
testcase_36 WA -
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <bits/stdc++.h>
// #include <set>
// #include <vector>
// #include <ostream>
// #include <atcoder/notall>

using namespace std;
using ll = long long;
using VI = vector<int>;
using VL = vector<ll>;
using VD = vector<double>;
using VS = vector<string>;
using VB = vector<bool>;
using VVB = vector<vector<bool>>;
using VVI = vector<VI>;
using VVL = vector<VL>;
using VVD = vector<VD>;
using PII = std::pair<int, int>;
using VPII = std::vector<std::pair<int, int>>;
using PLL = std::pair<ll, ll>;
using VPLL = std::vector<std::pair<ll, ll>>;
using TI3 = std::tuple<int, int, int>;
using TI4 = std::tuple<int, int, int, int>;
using TL3 = std::tuple<ll, ll, ll>;
using TL4 = std::tuple<ll, ll, ll, ll>;

#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repr(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep2(i, s, n) for (int i = (s); i < (int)(n); i++)
#define repr2(i, g, n) for (int i = (int)(n)-1; i >= (g); i--)
#define rep3(i, s, n, d) for (int i = (s); i < (int)(n); i += (d))
#define allpt(v) (v).begin(), (v).end()
#define allpt_c(v) (v).cbegin(), (v).cend()
#define allpt_r(v) (v).rbegin(), (v).rend()
#define allpt_cr(v) (v).crbegin(), (v).crend()

const int mod1 = 1e9 + 7, mod2 = 998244353, mod3 = 1e9 + 9;
const int mod = mod2;
const ll inf = 1e18;

const string wsp = " ";
const string tb = "\t";
const string rt = "\n";
const string alphabets = "abcdefghijklmnopqrstuvwxyz";

template <typename T>
void show1dvec(const vector<T> &v) {
    if (v.size() == 0) return;
    int n = v.size() - 1;
    rep(i, n) cout << v[i] << wsp;
    cout << v[n] << rt;
    return;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
    if (v.size() == 0) return os;
    int n = v.size() - 1;
    rep(i, n) os << v[i] << wsp;
    os << v[n] << rt;
    return os;
}

template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
    if (v.size() == 0) return is;
    int n = v.size();
    rep(i, n) is >> v[i];
    return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<vector<T>> &v) {
    if (v.size() == 0) return os;
    int n = v.size();
    rep(i, n) os << v[i];
    return os;
}

template <typename T>
istream &operator>>(istream &is, vector<pair<T, T>> &v) {
    if (v.size() == 0) return is;
    int n = v.size();
    rep(i, n) is >> v[i].first >> v[i].second;
    return is;
}

template <typename T>
istream &operator>>(istream &is, vector<vector<T>> &v) {
    if (v.size() == 0) return is;
    int n = v.size();
    rep(i, n) is >> v[i];
    return is;
}

void show2dvec(const vector<string> &v) {
    int n = v.size();
    rep(i, n) cout << v[i] << rt;
}

template <typename T>
void show2dvec(const vector<vector<T>> &v) {
    int n = v.size();
    rep(i, n) show1dvec(v[i]);
}

template <typename T>
void range_sort(vector<T> &arr, int l, int r) {
    sort(arr.begin() + l, arr.begin() + r);
}

template <typename T, typename S>
void show1dpair(const vector<pair<T, S>> &v) {
    int n = v.size();
    rep(i, n) cout << v[i].first << wsp << v[i].second << rt;
    return;
}

template <typename T, typename S>
void pairzip(const vector<pair<T, S>> &v, vector<T> &t, vector<T> &s) {
    int n = v.size();
    rep(i, n) {
        t.push_back(v[i].first);
        s.push_back(v[i].second);
    }
    return;
}

template <typename T>
void maxvec(vector<T> &v) {
    T s = v[0];
    int n = v.size();
    rep(i, n - 1) {
        if (s > v[i + 1]) {
            v[i + 1] = s;
        }
        s = v[i + 1];
    }
}

template <typename T, typename S>
bool myfind(T t, S s) {
    return find(t.cbegin(), t.cend(), s) != t.cend();
}

bool check(int y, int x, int h, int w) {
    return 0 <= y && y < h && 0 <= x && x < w;
}

bool iskadomatsu(int a, int b, int c) {
    return (a != b && b != c && c != a) &&
           ((a > b && b < c) || (a < b && b > c));
}

double euc_dist(PII a, PII b) {
    return sqrt(pow(a.first - b.first, 2) + pow(a.second - b.second, 2));
}

VS split(string s, char c) {
    VS ret;
    string part;
    s += c;
    rep(i, s.length()) {
        if (s[i] == c) {
            if (part != "") ret.emplace_back(part);
            part = "";
        } else if (s[i] != c) {
            part += s[i];
        }
    }
    return ret;
}

template <typename T, typename S, typename R>
ll pow_mod(T p, S q, R mod = 1ll) {
    ll ret = 1, r = p;
    while (q) {
        if (q % 2) ret *= r, ret %= mod;
        r = (r * r) % mod, q /= 2;
    }
    return ret % mod;
}

template <typename T, typename S>
ll pow_no_mod(T p, S q) {
    ll ret = 1, r = p;
    while (q) {
        if (q % 2) ret *= r;
        r = (r * r), q /= 2;
    }
    return ret;
}

void make_frac_tables(VL &frac_list, VL &frac_inv_list) {
    rep(i, frac_list.size() - 1) {
        frac_list[i + 1] *= frac_list[i] * (i + 1);
        frac_list[i + 1] %= mod;
        frac_inv_list[i + 1] *= frac_inv_list[i] * pow_mod(i + 1, mod - 2, mod);
        frac_inv_list[i + 1] %= mod;
    }
}

pair<VL, VL> make_frac_tables(int n) {
    VL frac_list(n + 1, 1), frac_inv_list(n + 1, 1);
    rep(i, n) {
        frac_list[i + 1] *= frac_list[i] * (i + 1);
        frac_list[i + 1] %= mod;
        frac_inv_list[i + 1] *= frac_inv_list[i] * pow_mod(i + 1, mod - 2, mod);
        frac_inv_list[i + 1] %= mod;
    }
    return make_pair(frac_list, frac_inv_list);
}

ll comb(int a, int b, const VL &frac_list, const VL &frac_inv_list) {
    if (a < b) return 0;
    if (b < 0) return 0;
    ll ret = frac_list[a];
    ret *= frac_inv_list[b];
    ret %= mod;
    ret *= frac_inv_list[a - b];
    ret %= mod;
    return ret;
}

struct vec2d {
    ll x;
    ll y;
    vec2d(ll _x, ll _y) {
        x = _x;
        y = _y;
    }
    ll dot(vec2d p) { return x * p.x + y * p.y; }
    vec2d diff(vec2d p) { return vec2d(x - p.x, y - p.y); }
};

struct node {
    int parent = -1;
    int color = -1;
    ll weight = 0;
    int depth = 0;
    int subtree = 1;
    PII range = (PII){-5000000, 5000000};
    VPII children;
    VPII connect;
    node(int n) {
        parent = -1;
        weight = 0;
        color = -1;
        depth = 0;
        subtree = 1;
        PII range = (PII){-5000000, 5000000};
        children;
        connect;
    }
};

struct graph {
    int _n;
    int root = 0;
    vector<node> nodes;
    graph(int n) {
        _n = n;
        rep(i, _n) nodes.emplace_back(node(_n));
    }
    void getconnect1() {
        int a, b;
        cin >> a >> b;
        a--, b--;
        nodes[a].connect.emplace_back(b, 0);
        nodes[b].connect.emplace_back(a, 0);
    }
    void getconnect2() {
        int a, b, c;
        cin >> a >> b >> c;
        a--, b--;
        nodes[a].connect.emplace_back(b, c);
        nodes[b].connect.emplace_back(a, c);
    }
    void showparent() {
        rep(i, _n - 1) cout << nodes[i].parent << wsp;
        cout << nodes[_n - 1].parent << rt;
    }
    void showweight() {
        rep(i, _n - 1) cout << nodes[i].weight << wsp;
        cout << nodes[_n - 1].weight << rt;
    }
    void showsubtree() {
        rep(i, _n - 1) cout << nodes[i].subtree << wsp;
        cout << nodes[_n - 1].subtree << rt;
    }
    void showdepth() {
        rep(i, _n - 1) cout << nodes[i].depth << wsp;
        cout << nodes[_n - 1].depth << rt;
    }
};

struct point {
    int x;
    int y;
    point() {
        x = 0;
        y = 0;
    }
    point(int _x, int _y) {
        x = _x;
        y = _y;
    }
    void pointinput() {
        int _x, _y;
        cin >> _x >> _y;
        x = _x;
        y = _y;
    }
    void pointinv() { swap(x, y); }
};

double pointseuc(point a, point b) {
    ll ax = a.x, bx = b.x, ay = a.y, by = b.y;
    return sqrt(pow(ax - bx, 2) + pow(ay - by, 2));
}

ll pointseucsquare(point a, point b) {
    ll ax = a.x, bx = b.x, ay = a.y, by = b.y;
    return (ax - bx) * (ax - bx) + (ay - by) * (ay - by);
}

int pointsmanhattan(point a, point b) {
    return abs(a.x - b.x) + abs(a.y - b.y);
}

double dist_segment_point(TL3 segment, point p) {
    double a = get<0>(segment);
    double b = get<1>(segment);
    double c = get<2>(segment);
    return abs(a * p.x + b * p.y - c) / (a * a + b * b + c * c);
}

TL3 segment_parameter(point p, point q) {
    ll a, b, c;
    a = q.y - p.y;
    b = p.x - q.x;
    c = a * p.x + b * p.y;
    TL3 ret = (TL3){a, b, c};
    // cout << a << b << c << rt;
    return ret;
}

int cross_check(TL3 segment, point p) {
    ll a = get<0>(segment);
    ll b = get<1>(segment);
    ll c = get<2>(segment);

    auto f = a * p.x + b * p.y - c;
    int ret;
    if (f > 0) ret = 1;
    if (f == 0) ret = 0;
    if (f < 0) ret = -1;
    return ret;
}

void shave(vector<int> &v, int n) {
    if (n <= 1) return;
    vector<bool> w(n + 1, true);
    int x;
    w[0] = w[1] = false;
    rep2(i, 2, n + 1) {
        if (w[i]) {
            x = i * 2;
            while (x <= n) {
                w[x] = false;
                x += i;
            }
        }
    }
    rep(i, n + 1) if (w[i]) v.emplace_back(i);
}

// ll getpalindrome(int l, int r, const string &s, VL &memo) {
//     if (r - l <= 1) return 1;
//     if (memo[l] != -1) return memo[l];
//     ll ret{1};
//     int n = (r - l) / 2;
//     string sl, sr;
//     rep(i, n) {
//         sl += s[l + i];
//         sr += s[r - 1 - i];
//         string rsr(i + 1, '0');
//         reverse_copy(allpt_c(sr), rsr.begin());
//         // cout << sl << wsp << sr << wsp << rsr << rt;
//         if (sl == rsr) {
//             ret += getpalindrome(l + i + 1, r - i - 1, s, memo);
//             ret %= mod;
//         }
//     }
//     memo[l] = ret;
//     return ret;
// }

void getpalindrome(int l, int r, int n, const string &s, VVB &memo) {
    if (r - l <= 1 || s[l] == s[r - 1]) {
        memo[l][r] = true;
        if (l > 0 && r < n) {
            getpalindrome(l - 1, r + 1, n, s, memo);
        }
    }
    return;
}

template <typename T>
void coordinate_compress(vector<T> &x, map<T, int> &zip, int &xs) {
    sort(x.begin(), x.end());
    x.erase(unique(x.begin(), x.end()), x.end());
    xs = x.size();
    for (int i = 0; i < xs; i++) {
        zip[x[i]] = i;
    }
    x.shrink_to_fit();
}

int get1dcoodinate(int w, int i, int j) { return i * w + j; }

void djcstra(int n, const VVL &cost, vector<VVL> &dp) {
    VPII adjust = {make_pair(-1, 0), make_pair(1, 0), make_pair(0, -1),
                   make_pair(0, 1)};
    priority_queue<tuple<ll, int, int, int>> pq;
    pq.push(make_tuple(0, 0, 0, 0));
    while (!pq.empty()) {
        auto [c, y, x, d] = pq.top();
        c = -c;
        pq.pop();
        if (c != dp[d][y][x]) continue;
        for (auto [dy, dx] : adjust) {
            if (check(y + dy, x + dx, n, n) &&
                dp[d][y + dy][x + dx] > c + 1 + cost[y + dy][x + dx]) {
                dp[d][y + dy][x + dx] = c + 1 + cost[y + dy][x + dx];
                pq.push(make_tuple(-(c + 1 + cost[y + dy][x + dx]), y + dy,
                                   x + dx, d));
            }
            if (check(y + dy, x + dx, n, n) && d == 0 &&
                dp[1][y + dy][x + dx] > c + 1) {
                dp[1][y + dy][x + dx] = c + 1;
                pq.push(make_tuple(-(c + 1), y + dy, x + dx, 1));
            }
        }
    }
    cout << dp[1][n - 1][n - 1] << rt;
    return;
}

template <typename T>
class RangeMinorMaxorSumQuery  // 0-index
{
    int const intmax = 2147483647;
    int const intmin = 0;
    vector<T> sgt;
    int n;
    int k;

   public:
    RangeMinorMaxorSumQuery(int n1, int f = -1) {
        if (f == -1)
            f = intmax;
        else if (f == 0)
            f = intmin;
        int na = 1;
        int ka = 0;
        while (na < n1) {
            na *= 2;
            ka++;
        }
        for (int i = 0; i < 2 * na; i++) sgt.push_back(f);
        n = na;
        k = ka;
    }

    void update_min(int i, int x) {
        i += n;
        sgt[i] = x;
        while (i > 1) {
            i /= 2;
            sgt[i] = min(sgt[2 * i], sgt[2 * i + 1]);
        }
    }
    void update_max(int i, T x) {
        i += n;
        sgt[i] = x;
        while (i > 1) {
            i /= 2;
            sgt[i] = max(sgt[2 * i], sgt[2 * i + 1]);
        }
    }
    void update_sum(int i, T x) {
        i += n;
        sgt[i] = x;
        while (i > 1) {
            i /= 2;
            sgt[i] = sgt[2 * i] + sgt[2 * i + 1];
        }
    }

    void add_sum(int i, T x) {
        i += n;
        sgt[i] += x;
        while (i > 1) {
            i /= 2;
            sgt[i] = sgt[2 * i] + sgt[2 * i + 1];
        }
    }

    T getmin(int a, int b, int k = 1, int l = 0,
             int r = -1)  //閉区間 l <= x < r とする
    {
        if (r == -1) r = n;
        if (r <= a || b <= l) return intmax;
        if (a == l && b == r)
            return sgt[k];
        else
            return min(
                getmin(a, min(b, (l + r) / 2), 2 * k, l, (l + r) / 2),
                getmin(max(a, (l + r) / 2), b, 2 * k + 1, (l + r) / 2, r));
    }
    T getmax(int a, int b, int k = 1, int l = 0,
             int r = -1)  //閉区間 l <= x < r とする
    {
        if (r == -1) r = n;
        if (r <= a || b <= l) return intmin;
        if (a == l && b == r)
            return sgt[k];
        else
            return max(
                getmax(a, min(b, (l + r) / 2), 2 * k, l, (l + r) / 2),
                getmax(max(a, (l + r) / 2), b, 2 * k + 1, (l + r) / 2, r));
    }
    T getsum(int a, int b, int k = 1, int l = 0,
             int r = -1)  //閉区間 l <= x < r とする
    {
        if (r == -1) r = n;
        if (r <= a || b <= l) return intmin;
        if (a == l && b == r)
            return sgt[k];
        else
            return getsum(a, min(b, (l + r) / 2), 2 * k, l, (l + r) / 2) +
                   getsum(max(a, (l + r) / 2), b, 2 * k + 1, (l + r) / 2, r);
    }

    T operator[](int i) { return sgt[i + n]; }

    void printsegtree() {
        for (int i = 0; i < 2 * n; i++) {
            cout << sgt[i] << " ";
        }
        cout << endl;
    }
};

void dfs(graph &tree, int v, set<int> &unused) {
    for (auto [u, c] : tree.nodes[v].connect) {
        if (tree.nodes[u].parent == -1 && u != tree.root) {
            tree.nodes[u].parent = v;
            tree.nodes[u].depth = tree.nodes[v].depth + 1;
            if (tree.nodes[v].color != c) {
                tree.nodes[u].color = c;
                unused.erase(c);
            }
            dfs(tree, u, unused);
        }
    }
}



int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    // リアクティブ問題のときはコメントアウト

#ifdef DEBUG
    cout << "DEBUG MODE" << endl;
    ifstream in("input.txt");                             // for debug
    cin.rdbuf(in.rdbuf());                                // for debug
    chrono::system_clock::time_point timestart, timeend;  // for debug
    timestart = std::chrono::system_clock::now();         // for debug

#endif

    int n, m, p;
    cin >> n;
    ll ans{0};
    VI a_list(n), a_comp;
    VL sum_list(n), elem_list(n), sum_r_list(n), elem_r_list(n);
    cin >> a_list;
    a_comp = a_list;
    map<int, int> a_zip;
    coordinate_compress(a_comp, a_zip, m);

    RangeMinorMaxorSumQuery<ll> sgt_sum(m, 0), sgt_elem(m, 0), sgt_sum_r(m, 0),
        sgt_elem_r(m, 0);
    rep(i, n) {
        p = a_zip[a_list[i]];

        sum_list[i] = sgt_sum.getsum(p + 1, m);
        elem_list[i] = sgt_elem.getsum(p + 1, m);
        sgt_sum.add_sum(p, a_list[i]);
        sgt_elem.add_sum(p, 1);

        p = a_zip[a_list[n - 1 - i]];
        sum_r_list[n - 1 - i] = sgt_sum_r.getsum(0, p);
        elem_r_list[n - 1 - i] = sgt_elem_r.getsum(0, p);
        sgt_sum_r.add_sum(p, a_list[n - 1 - i]);
        sgt_elem_r.add_sum(p, 1);
    }

    rep2(i, 1, n - 1) {
        ans += (sum_list[i] * elem_r_list[i]) % mod;
        ans %= mod;
        ans += (sum_r_list[i] * elem_list[i]) % mod;
        ans %= mod;
        ans += (((a_list[i] * elem_list[i]) % mod) * elem_r_list[i]) % mod;
        ans %= mod;
    }
    cout << ans << rt;

#ifdef DEBUG
    timeend = chrono::system_clock::now();
    auto elapsed =
        chrono::duration_cast<chrono::milliseconds>(timeend - timestart)
            .count();
    cout << "Time is " << elapsed << "ms" << std::endl;
#endif

    return 0;
}
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