結果

問題 No.3026 Range LCM (Online Version)
ユーザー t98slider
提出日時 2025-02-15 20:13:45
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 2,994 ms / 3,000 ms
コード長 8,261 bytes
コンパイル時間 6,316 ms
コンパイル使用メモリ 281,476 KB
実行使用メモリ 305,712 KB
最終ジャッジ日時 2025-02-15 20:15:26
合計ジャッジ時間 71,585 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 1
other AC * 36
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 <atcoder/all>
using namespace std;
using namespace atcoder;
using ll = long long;
using mint = atcoder::modint998244353;
#define BL 58
#define BL2 447
// 59 ~ 447

//2次元セグ木(自動座圧)
template <class S, S (*op)(S, S), S (*e)(), class C = long long int> struct segtree2D_lite {
    int H, logH;
    std::vector<int> logW, W;
    std::vector<C> Yc;
    std::vector<std::vector<int>> parent;
    std::vector<std::vector<std::pair<int, int>>> child;
    std::vector<std::vector<C>> Xc;
    std::vector<std::pair<C, C>> preorder;
    std::vector<std::vector<S>> d;
    segtree2D_lite()  {}
    void insert(C y, C x){
        preorder.emplace_back(y, x);
    }
    void build(){
        std::sort(preorder.begin(), preorder.end());
        Yc.resize(preorder.size());
        for(int i = 0; i < (int)(preorder.size()); i++)Yc[i] = preorder[i].first;
        Yc.erase(std::unique(Yc.begin(), Yc.end()), Yc.end());
        logH = ceil_pow2(Yc.size());
        H = 1 << logH;
        Xc.resize(2 * H), d.resize(2 * H);
        logW.resize(2 * H), W.resize(2 * H);
        parent.resize(2 * H), child.resize(H);
        for(int i = 0, y_id = 0; i < (int)(preorder.size()); i++){
            while(Yc[y_id] < preorder[i].first)y_id++;
            Xc[y_id + H].emplace_back(preorder[i].second);
        }
        for(int y = 2 * H - 1; y >= H; y--){
            Xc[y].erase(std::unique(Xc[y].begin(), Xc[y].end()), Xc[y].end());
            parent[y].resize(Xc[y].size());
            logW[y] = ceil_pow2(Xc[y].size());
            W[y] = 1 << logW[y];
            d[y].resize(2 * W[y], e());
        }
        for(int y = H - 1; y >= 1; y--){
            int Ly_id = 2 * y, Ry_id = 2 * y + 1;
            int Lx_id = 0, Rx_id = 0;
            while(Lx_id < Xc[Ly_id].size() && Rx_id < Xc[Ry_id].size()){
                if(Xc[Ly_id][Lx_id] == Xc[Ry_id][Rx_id]){
                    parent[Ly_id][Lx_id] = parent[Ry_id][Rx_id] = Xc[y].size();
                    Xc[y].emplace_back(Xc[Ly_id][Lx_id]);
                    child[y].emplace_back(Lx_id + W[Ly_id], Rx_id + W[Ry_id]);
                    Lx_id++, Rx_id++;
                }else if(Xc[Ly_id][Lx_id] < Xc[Ry_id][Rx_id]){
                    parent[Ly_id][Lx_id] = Xc[y].size();
                    Xc[y].emplace_back(Xc[Ly_id][Lx_id]);
                    child[y].emplace_back(Lx_id + W[Ly_id], 0);
                    Lx_id++;
                }else{
                    parent[Ry_id][Rx_id] = Xc[y].size();
                    Xc[y].emplace_back(Xc[Ry_id][Rx_id]);
                    child[y].emplace_back(0, Rx_id + W[Ry_id]);
                    Rx_id++;
                }
            }
            while(Lx_id < Xc[Ly_id].size()){
                parent[Ly_id][Lx_id] = Xc[y].size();
                Xc[y].emplace_back(Xc[Ly_id][Lx_id]);
                child[y].emplace_back(Lx_id + W[Ly_id], 0);
                Lx_id++;
            }
            while(Rx_id < Xc[Ry_id].size()){
                parent[Ry_id][Rx_id] = Xc[y].size();
                Xc[y].emplace_back(Xc[Ry_id][Rx_id]);
                child[y].emplace_back(0, Rx_id + W[Ry_id]);
                Rx_id++;
            }
            parent[y].resize(Xc[y].size());
            logW[y] = ceil_pow2(Xc[y].size());
            W[y] = 1 << logW[y];
            d[y].resize(2 * W[y], e());
        }
    }
    void set(C py, C px, S v){
        int y = std::lower_bound(Yc.begin(), Yc.end(), py) - Yc.begin();
        y += H;
        int x = std::lower_bound(Xc[y].begin(), Xc[y].end(), px) - Xc[y].begin(), nxt_x = parent[y][x];
        x += W[y];
        d[y][x] = v;
        while(x >>= 1)updateX(y, x);
        while(y >>= 1){
            x = nxt_x, nxt_x = parent[y][x];
            d[y][x + W[y]] = op(d[2 * y][child[y][x].first], d[2 * y + 1][child[y][x].second]);
            x += W[y];
            while(x >>= 1)updateX(y, x);
        }
    }
    S get(C py, C px){
        int y = std::lower_bound(Yc.begin(), Yc.end(), py) - Yc.begin();
        y += H;
        int x = std::lower_bound(Xc[y].begin(), Xc[y].end(), px) - Xc[y].begin();
        return d[y][x + W[y]];
    }
    S prod(C lpy, C lpx, C rpy, C rpx){
        int ly = std::lower_bound(Yc.begin(), Yc.end(), lpy) - Yc.begin();
        int ry = std::lower_bound(Yc.begin(), Yc.end(), rpy) - Yc.begin();
        S sml = e(), smr = e();
        ly += H, ry += H ;
        while (ly < ry) {
            if (ly & 1) sml = op(sml, yline_prod(lpx, rpx , ly++));
            if (ry & 1) smr = op(yline_prod(lpx, rpx , --ry), smr);
            ly >>= 1, ry >>= 1;
        }
        return op(sml, smr);
    }
    S yline_prod(C lpx, C rpx, int y){
        int lx = std::lower_bound(Xc[y].begin(), Xc[y].end(), lpx) - Xc[y].begin();
        int rx = std::lower_bound(Xc[y].begin(), Xc[y].end(), rpx) - Xc[y].begin();
        S sml = e(), smr = e();
        lx += W[y], rx += W[y] ;
        while (lx < rx) {
            if (lx & 1) sml = op(sml, d[y][lx++]);
            if (rx & 1) smr = op(d[y][--rx], smr);
            lx >>= 1, rx >>= 1;
        }
        return op(sml, smr);
    }
    private:
    int ceil_pow2(int n) {
        int x = 0;
        while ((1U << x) < (unsigned int)(n)) x++;
        return x;
    }
    void updateX(int yi, int xi) { d[yi][xi] = op(d[yi][2 * xi], d[yi][2 * xi + 1]); }
};

mint op(mint lhs, mint rhs){ return lhs * rhs; }
mint e(){return mint::raw(1);}
int op2(int lhs, int rhs){return max(lhs, rhs);}
constexpr int e2(){return 1;}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    int n;
    cin >> n;
    constexpr int r = 200000;
    vector<int> id(r + 1), tb(r + 1), a(n, 1), pre(r + 1, -1);
    tb[0] = tb[1] = -1;
    int pcnt = 0;
    for(int i = 2; i <= r; i++){
        if(tb[i] != 0) continue;
        if(i <= BL) id[i] = pcnt++;
        for(int j = i; j <= r; j += i){
            if (tb[j] == 0) tb[j] = i;
        }
    }
    const int m = pcnt;
    vector<vector<int>> seg2(m, vector<int>(n, 1));
    segtree2D_lite<mint, op, e, int> seg;
    vector<tuple<int,int,mint>> ld;
    for(int i = 0; i < n; i++){
        int v;
        cin >> v;
        vector<int> tmp;
        while(v != 1){
            if(tb[v] <= BL) seg2[id[tb[v]]][i] *= tb[v];
            else tmp.emplace_back(tb[v]);
            v /= tb[v];
        }
        if(!tmp.empty()){
            seg.insert(i, i);
            int v3 = 1;
            for(int j = 0; j < tmp.size(); j++){
                if(j + 1 < tmp.size() && tmp[j] == tmp[j + 1]){
                    int v = tmp[j], v2 = v * v;
                    v3 *= v2;
                    if(pre[v] != -1){
                        if(pre[v] == pre[v2]){
                            seg.insert(pre[v], i);
                            ld.emplace_back(pre[v], i, mint::raw(v2).inv());
                        }else{
                            mint coef = mint::raw(v).inv();
                            seg.insert(pre[v], i);
                            seg.insert(pre[v2], i);
                            ld.emplace_back(pre[v], i, coef);
                            ld.emplace_back(pre[v2], i, coef);
                        }
                    }
                    pre[v] = pre[v2] = i;
                    j++;
                }else{
                    int v = tmp[j];
                    v3 *= v;
                    if(pre[v] != -1){
                        seg.insert(pre[v], i);
                        ld.emplace_back(pre[v], i, mint::raw(v).inv());
                    }
                    pre[v] = i;
                }
            }
            a[i] = v3;
        }
    }
    seg.build();
    for(int i = 0; i < n; i++){
        if(a[i] != 1) seg.set(i, i, mint::raw(a[i]));
    }
    for(auto [y, x, v] : ld){
        seg.set(y, x, seg.get(y, x) * v);
    }
    vector<segtree<int, op2, e2>> seg4(m);
    for(int i = 0; i < m; i++) seg4[i] = segtree<int, op2, e2>(seg2[i]);
    int Q;
    cin >> Q;
    mint ans = 1;
    while(Q--){
        int a, b;
        cin >> a >> b;
        int l = (a * ans).val() % n, r = (b * ans).val() % n;
        if(l > r) swap(l, r);
        r++;
        ans = seg.prod(l, l, r, r);
        for(int i = 0; i < m; i++) ans *= mint::raw(seg4[i].prod(l, r));
        cout << ans.val() << '\n';
    }
}
0