Submission #74660320


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// Problem: E - You WILL Like Sigma Problem
// Contest: AtCoder - AtCoder Beginner Contest 452
// URL: https://atcoder.jp/contests/abc452/tasks/abc452_e
// Memory Limit: 1024 MB
// Time Limit: 2000 ms
// 
// Powered by CP Editor (https://cpeditor.org)

#pragma GCC optimize("Ofast,inline,unroll-loops")
#ifdef GTRAKIOI
#define _GLIBCXX_DEBUG //交题前记得注释掉不然容易T。
#endif
#include<bits/stdc++.h>
// #include<stdio.h>
#define File(s) freopen(#s".in","r",stdin),freopen(#s".out","w",stdout)
#ifdef GTRAKIOI
#include"C:/code/deb_20.cpp"
#define defrog(...) fprintf(stderr,__VA_ARGS__)
#define deb(x) (std::cerr<<#x<<"@"<<__LINE__<<"="<<(x)<<'\n')
#else
#define defrog(...) 1
#define deb(x) 1
#define debug(...) 1
#define debugArr(...) 1
#endif
#define defrogf(...) defrog(__VA_ARGS__)
#define Tp template<typename T>
#define Tl template<typename T
#define Tr >
#define IS(cond) ,std::enable_if_t<(cond), int> = 0
#if __cplusplus>=201703L
#define register
#endif

#ifdef _MSC_VER
#if __has_include(<__msvc_int128.hpp>)
#include <__msvc_int128.hpp> // https://stackoverflow.com/a/76440171
#define __int128 std::_Signed128
#define __int128_t std::_Signed128
#define __uint128_t std::_Unsigned128
#define __SIZEOF_INT128__ 16
#endif
#endif
using ll=long long;
// #define int ll
using ull=unsigned long long;
#ifdef __SIZEOF_INT128__
using lll=__int128;
// using ulll=unsigned __int128;
#endif
using db=double;
using ld=long double;
#define INT_ALIAS(w) using i##w=std::int##w##_t;using u##w=std::uint##w##_t;
INT_ALIAS(8) INT_ALIAS(16) INT_ALIAS(32) INT_ALIAS(64)
#ifdef __SIZEOF_INT128__
using i128=__int128_t;
using u128=__uint128_t;
using i7=__int128_t;
using u7=__uint128_t;
template <class T>
using to_unsigned = typename std::conditional<
    std::is_same<T, __int128_t>::value ||
        std::is_same<T, __int128>::value,
    std::common_type<__uint128_t>,
    typename std::conditional<std::is_signed<T>::value,
                              std::make_unsigned<T>,
                              std::common_type<T>>::type>::type;
#else
template <class T>
using to_unsigned = std::make_unsigned<T>;
#endif
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;

template<typename T>using vv=std::vector<T>;
template<typename T>using V=std::vector<T>;
using pii=std::pair<int,int>;
using vi=V<int>;
using vll=V<ll>;
using vpii=V<pii>;
using vvi=V<vi>;
template<typename T>using pq=std::priority_queue<T>;
template<typename T>using pqg=std::priority_queue<T,std::vector<T>,std::greater<>>;
#define pb push_back
#define eb emplace_back
#define pob pop_back
#define all(cont) std::begin(cont),std::end(cont)
#define rall(cont) std::rbegin(cont),std::rend(cont)

#define G90 1
#ifdef G90
char ibuf[1<<15],*p1,*p2;
#define getchar() (p1==p2&&(p2=(p1=ibuf)+fread(ibuf,1,1<<15,stdin),p1==p2)?EOF:*p1++)
#endif
struct FastIO{
	Tl IS(!std::numeric_limits<T>::is_signed) Tr inline void oint(T x){
		T y=1;
		while(y<=x/10)y*=10;
		do putchar(int(x/y)|48),x%=y,y/=10;while(y);
	}
	Tl IS(std::numeric_limits<T>::is_signed) Tr inline void oint(const T&x){
		if(x<0){
			putchar('-');
			oint<to_unsigned_t<T>>(-x);
		}else oint<to_unsigned_t<T>>(x);
	}
	#ifdef G90
	Tl=int IS(std::numeric_limits<T>::is_integer) Tr inline T rint(){register char c,f=0;while((c=getchar())<48||c>57)f|=c=='-';to_unsigned_t<T> a=c&15;while((c=getchar())>=48&&c<=57)a=a*10+(c&15);return f?~a+1:a;}
	// inline ll rll(){rg char c,f=0;while((c=getchar())<48||c>57)f|=c=='-';rg ull a=c&15;while((c=getchar())>=48&&c<=57)a=a*10+(c&15);return f?~a+1:a;}
//	inline operator int(){return rint();}
	// inline operator ll(){return rll();}
	Tl IS(std::numeric_limits<T>::is_integer) Tr inline operator T(){return rint<T>();}
	inline char rchar(){register char c;while(!isgraph(c=getchar()));return c;}
	inline int rstr(char*s){register char c;while(!isgraph(c=getchar()));int cnt=-1;do s[++cnt]=c;while(isgraph(c=getchar()));s[++cnt]=0;return cnt;}
	inline std::string rs(){register char c;while(!isgraph(c=getchar()));std::string s;do s+=c;while(isgraph(c=getchar()));return s;}
	#else
	Tp requires requires(std::istream&is,T&x){is>>x;} inline operator T(){T a;std::cin>>a;return a;}
	inline char rchar(){return char(*this);}
	inline int rstr(char*s){register char c=-1;while(!isgraph(c=char(std::cin.get())));int cnt=-1;do s[++cnt]=c;while(isgraph(c=char(std::cin.get())));s[++cnt]=0;return cnt;}
	inline std::string rs(){return *this;}
	#endif
	Tl IS(std::numeric_limits<T>::is_integer) Tr inline void print(const T&x){oint(x);}
	inline void print(const char&x){putchar(x);}
	inline void print(const char*const&x){for(int i=0;x[i];++i)putchar(x[i]);}
	#if __cplusplus >= 202002L
	Tp requires std::ranges::range<T> inline void print(const T&c){
		bool first=true;
		for(const auto&x:c){
			if(!first)putchar(' ');
			first=false;
			print(x);
		}
	}
	#endif
	inline void print(const std::string&x){for(int i=0;x[i];++i)putchar(x[i]);}

	// print with separators
	// inline void prints(){putchar('\n');}
	// inline void prints(const auto&x,const auto&...rst){print(x),putchar(' '),prints(rst...);}
	inline void prints(const auto&...x){((print(x),putchar(' ')),...);putchar('\n');}
}g90;
inline void YON(const bool&x){puts(x?"YES":"NO");}
inline void Yon(const bool&x){puts(x?"Yes":"No");}
inline void yon(const bool&x){puts(x?"yes":"no");}

template<typename T=int>std::vector<T>rvec(std::size_t n,std::size_t start=0) {
	std::vector<T>res(start+n);
	for(std::size_t i=start;i<start+n;++i)res[i]=g90;
	return res;
}

std::mt19937_64 rng(u32(std::chrono::high_resolution_clock::now().time_since_epoch().count()));
Tl IS(std::is_floating_point<T>::value) Tr inline T rnd(const T&a,const T&b){
	return std::uniform_real_distribution<T>(a,b)(rng);
}
Tl IS(std::numeric_limits<T>::is_integer) Tr inline T rnd(const T&a,const T&b){
	return std::uniform_int_distribution<T>(a,b)(rng);
}
namespace MY_STD{
	Tp inline T abs(const T&a){return a<0?-a:a;}
}
#if __cplusplus >= 202002L
namespace all{
	using namespace std::ranges;
	using namespace std::views;
	
	//ambiguous ones
	using std::views::iota;
	using std::views::empty;
	using std::views::reverse;
	inline constexpr auto&R=std::views::reverse;
}
#else
#define ssize(a) int((a).size())
#endif
struct DSU{//unweighted
	using key_type=int;

	std::vector<key_type>fa,size;
	inline DSU(key_type n):fa(n),size(n,1){std::iota(fa.begin(),fa.end(),0);}
	inline key_type& getFa(key_type x){
		while(x^fa[x])x=fa[x]=fa[fa[x]];
		return fa[x];
	}
	inline key_type& operator[](const key_type&x){return getFa(x);}
	inline auto canMerge(const key_type&u,const key_type&v){return getFa(u)!=getFa(v);}
	inline bool merge(key_type u,key_type v){
		u=getFa(u),v=getFa(v);
		return (u)!=(v)&&(size[u]<size[v]&&(std::swap(u,v),1),fa[v]=u,size[u]+=size[v],size[v]=0,true);
	}

};

template<typename Compare=std::less<>>inline bool ckmax(auto& a,const auto& b,const Compare&comp={}){return comp(a,b)?(a=b,true):false;}
template<typename Compare=std::less<>>inline bool ckmin(auto& a,const auto& b,const Compare&comp={}){return comp(b,a)?(a=b,true):false;}

inline auto divf(const auto&a,const auto&b){//assume b>0
	return a<0?(a+1)/b-1:a/b;
}
inline auto divc(const auto&a,const auto&b){//assume b>0
	return a>0?(a-1)/b+1:a/b;
}

#include <cassert>
#include <numeric>
#include <type_traits>

#ifdef _MSC_VER
#include <intrin.h>
#endif


#include <utility>

#ifdef _MSC_VER
#include <intrin.h>
#endif

namespace atcoder {

namespace internal {

// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
    x %= m;
    if (x < 0) x += m;
    return x;
}

// Fast modular multiplication by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
    unsigned int _m;
    unsigned long long im;

    // @param m `1 <= m`
    explicit barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}

    // @return m
    unsigned int umod() const { return _m; }

    // @param a `0 <= a < m`
    // @param b `0 <= b < m`
    // @return `a * b % m`
    unsigned int mul(unsigned int a, unsigned int b) const {
        // [1] m = 1
        // a = b = im = 0, so okay

        // [2] m >= 2
        // im = ceil(2^64 / m)
        // -> im * m = 2^64 + r (0 <= r < m)
        // let z = a*b = c*m + d (0 <= c, d < m)
        // a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
        // c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) < 2^64 * 2
        // ((ab * im) >> 64) == c or c + 1
        unsigned long long z = a;
        z *= b;
#ifdef _MSC_VER
        unsigned long long x;
        _umul128(z, im, &x);
#else
        unsigned long long x =
            (unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
        unsigned long long y = x * _m;
        return (unsigned int)(z - y + (z < y ? _m : 0));
    }
};

// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
    if (m == 1) return 0;
    unsigned int _m = (unsigned int)(m);
    unsigned long long r = 1;
    unsigned long long y = safe_mod(x, m);
    while (n) {
        if (n & 1) r = (r * y) % _m;
        y = (y * y) % _m;
        n >>= 1;
    }
    return r;
}

// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
constexpr bool is_prime_constexpr(int n) {
    if (n <= 1) return false;
    if (n == 2 || n == 7 || n == 61) return true;
    if (n % 2 == 0) return false;
    long long d = n - 1;
    while (d % 2 == 0) d /= 2;
    constexpr long long bases[3] = {2, 7, 61};
    for (long long a : bases) {
        long long t = d;
        long long y = pow_mod_constexpr(a, t, n);
        while (t != n - 1 && y != 1 && y != n - 1) {
            y = y * y % n;
            t <<= 1;
        }
        if (y != n - 1 && t % 2 == 0) {
            return false;
        }
    }
    return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);

// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
    a = safe_mod(a, b);
    if (a == 0) return {b, 0};

    // Contracts:
    // [1] s - m0 * a = 0 (mod b)
    // [2] t - m1 * a = 0 (mod b)
    // [3] s * |m1| + t * |m0| <= b
    long long s = b, t = a;
    long long m0 = 0, m1 = 1;

    while (t) {
        long long u = s / t;
        s -= t * u;
        m0 -= m1 * u;  // |m1 * u| <= |m1| * s <= b

        // [3]:
        // (s - t * u) * |m1| + t * |m0 - m1 * u|
        // <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
        // = s * |m1| + t * |m0| <= b

        auto tmp = s;
        s = t;
        t = tmp;
        tmp = m0;
        m0 = m1;
        m1 = tmp;
    }
    // by [3]: |m0| <= b/g
    // by g != b: |m0| < b/g
    if (m0 < 0) m0 += b / s;
    return {s, m0};
}

// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
    if (m == 2) return 1;
    if (m == 167772161) return 3;
    if (m == 469762049) return 3;
    if (m == 754974721) return 11;
    if (m == 998244353) return 3;
    int divs[20] = {};
    divs[0] = 2;
    int cnt = 1;
    int x = (m - 1) / 2;
    while (x % 2 == 0) x /= 2;
    for (int i = 3; (long long)(i)*i <= x; i += 2) {
        if (x % i == 0) {
            divs[cnt++] = i;
            while (x % i == 0) {
                x /= i;
            }
        }
    }
    if (x > 1) {
        divs[cnt++] = x;
    }
    for (int g = 2;; g++) {
        bool ok = true;
        for (int i = 0; i < cnt; i++) {
            if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
                ok = false;
                break;
            }
        }
        if (ok) return g;
    }
}
template <int m> constexpr int primitive_root = primitive_root_constexpr(m);

// @param n `n < 2^32`
// @param m `1 <= m < 2^32`
// @return sum_{i=0}^{n-1} floor((ai + b) / m) (mod 2^64)
unsigned long long floor_sum_unsigned(unsigned long long n,
                                      unsigned long long m,
                                      unsigned long long a,
                                      unsigned long long b) {
    unsigned long long ans = 0;
    while (true) {
        if (a >= m) {
            ans += n * (n - 1) / 2 * (a / m);
            a %= m;
        }
        if (b >= m) {
            ans += n * (b / m);
            b %= m;
        }

        unsigned long long y_max = a * n + b;
        if (y_max < m) break;
        // y_max < m * (n + 1)
        // floor(y_max / m) <= n
        n = (unsigned long long)(y_max / m);
        b = (unsigned long long)(y_max % m);
        std::swap(m, a);
    }
    return ans;
}

}  // namespace internal

}  // namespace atcoder


#include <cassert>
#include <numeric>
#include <type_traits>

namespace atcoder {

namespace internal {

#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value ||
                                  std::is_same<T, __int128>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using is_unsigned_int128 =
    typename std::conditional<std::is_same<T, __uint128_t>::value ||
                                  std::is_same<T, unsigned __int128>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using make_unsigned_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value,
                              __uint128_t,
                              unsigned __int128>;

template <class T>
using is_integral = typename std::conditional<std::is_integral<T>::value ||
                                                  is_signed_int128<T>::value ||
                                                  is_unsigned_int128<T>::value,
                                              std::true_type,
                                              std::false_type>::type;

template <class T>
using is_signed_int = typename std::conditional<(is_integral<T>::value &&
                                                 std::is_signed<T>::value) ||
                                                    is_signed_int128<T>::value,
                                                std::true_type,
                                                std::false_type>::type;

template <class T>
using is_unsigned_int =
    typename std::conditional<(is_integral<T>::value &&
                               std::is_unsigned<T>::value) ||
                                  is_unsigned_int128<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using to_unsigned = typename std::conditional<
    is_signed_int128<T>::value,
    make_unsigned_int128<T>,
    typename std::conditional<std::is_signed<T>::value,
                              std::make_unsigned<T>,
                              std::common_type<T>>::type>::type;

#else

template <class T> using is_integral = typename std::is_integral<T>;

template <class T>
using is_signed_int =
    typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using is_unsigned_int =
    typename std::conditional<is_integral<T>::value &&
                                  std::is_unsigned<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using to_unsigned = typename std::conditional<is_signed_int<T>::value,
                                              std::make_unsigned<T>,
                                              std::common_type<T>>::type;

#endif

template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;

template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;

template <class T> using to_unsigned_t = typename to_unsigned<T>::type;

}  // namespace internal

}  // namespace atcoder


namespace atcoder {

namespace internal {

struct modint_base {};
struct static_modint_base : modint_base {};

template <class T> using is_modint = std::is_base_of<modint_base, T>;
template <class T> using is_modint_t = std::enable_if_t<is_modint<T>::value>;

}  // namespace internal

template <int m, std::enable_if_t<(1 <= m)>* = nullptr>
struct static_modint : internal::static_modint_base {
    using mint = static_modint;

  public:
    static constexpr int mod() { return m; }
    static mint raw(int v) {
        mint x;
        x._v = v;
        return x;
    }

    static_modint() : _v(0) {}
    template <class T, internal::is_signed_int_t<T>* = nullptr>
    static_modint(T v) {
        long long x = (long long)(v % (long long)(umod()));
        if (x < 0) x += umod();
        _v = (unsigned int)(x);
    }
    template <class T, internal::is_unsigned_int_t<T>* = nullptr>
    static_modint(T v) {
        _v = (unsigned int)(v % umod());
    }

    int val() const { return _v; }

    mint& operator++() {
        _v++;
        if (_v == umod()) _v = 0;
        return *this;
    }
    mint& operator--() {
        if (_v == 0) _v = umod();
        _v--;
        return *this;
    }
    mint operator++(int) {
        mint result = *this;
        ++*this;
        return result;
    }
    mint operator--(int) {
        mint result = *this;
        --*this;
        return result;
    }

    mint& operator+=(const mint& rhs) {
        _v += rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    mint& operator-=(const mint& rhs) {
        _v -= rhs._v;
        if (_v >= umod()) _v += umod();
        return *this;
    }
    mint& operator*=(const mint& rhs) {
        unsigned long long z = _v;
        z *= rhs._v;
        _v = (unsigned int)(z % umod());
        return *this;
    }
    mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }

    mint operator+() const { return *this; }
    mint operator-() const { return mint() - *this; }

    mint pow(long long n) const {
        assert(0 <= n);
        mint x = *this, r = 1;
        while (n) {
            if (n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    mint inv() const {
        if (prime) {
            assert(_v);
            return pow(umod() - 2);
        } else {
            auto eg = internal::inv_gcd(_v, m);
            assert(eg.first == 1);
            return eg.second;
        }
    }

    friend mint operator+(const mint& lhs, const mint& rhs) {
        return mint(lhs) += rhs;
    }
    friend mint operator-(const mint& lhs, const mint& rhs) {
        return mint(lhs) -= rhs;
    }
    friend mint operator*(const mint& lhs, const mint& rhs) {
        return mint(lhs) *= rhs;
    }
    friend mint operator/(const mint& lhs, const mint& rhs) {
        return mint(lhs) /= rhs;
    }
    friend bool operator==(const mint& lhs, const mint& rhs) {
        return lhs._v == rhs._v;
    }
    friend bool operator!=(const mint& lhs, const mint& rhs) {
        return lhs._v != rhs._v;
    }

  private:
    unsigned int _v;
    static constexpr unsigned int umod() { return m; }
    static constexpr bool prime = internal::is_prime<m>;
};

template <int id> struct dynamic_modint : internal::modint_base {
    using mint = dynamic_modint;

  public:
    static int mod() { return (int)(bt.umod()); }
    static void set_mod(int m) {
        assert(1 <= m);
        bt = internal::barrett(m);
    }
    static mint raw(int v) {
        mint x;
        x._v = v;
        return x;
    }

    dynamic_modint() : _v(0) {}
    template <class T, internal::is_signed_int_t<T>* = nullptr>
    dynamic_modint(T v) {
        long long x = (long long)(v % (long long)(mod()));
        if (x < 0) x += mod();
        _v = (unsigned int)(x);
    }
    template <class T, internal::is_unsigned_int_t<T>* = nullptr>
    dynamic_modint(T v) {
        _v = (unsigned int)(v % mod());
    }

    int val() const { return _v; }

    mint& operator++() {
        _v++;
        if (_v == umod()) _v = 0;
        return *this;
    }
    mint& operator--() {
        if (_v == 0) _v = umod();
        _v--;
        return *this;
    }
    mint operator++(int) {
        mint result = *this;
        ++*this;
        return result;
    }
    mint operator--(int) {
        mint result = *this;
        --*this;
        return result;
    }

    mint& operator+=(const mint& rhs) {
        _v += rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    mint& operator-=(const mint& rhs) {
        _v += mod() - rhs._v;
        if (_v >= umod()) _v -= umod();
        return *this;
    }
    mint& operator*=(const mint& rhs) {
        _v = bt.mul(_v, rhs._v);
        return *this;
    }
    mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); }

    mint operator+() const { return *this; }
    mint operator-() const { return mint() - *this; }

    mint pow(long long n) const {
        assert(0 <= n);
        mint x = *this, r = 1;
        while (n) {
            if (n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    mint inv() const {
        auto eg = internal::inv_gcd(_v, mod());
        assert(eg.first == 1);
        return eg.second;
    }

    friend mint operator+(const mint& lhs, const mint& rhs) {
        return mint(lhs) += rhs;
    }
    friend mint operator-(const mint& lhs, const mint& rhs) {
        return mint(lhs) -= rhs;
    }
    friend mint operator*(const mint& lhs, const mint& rhs) {
        return mint(lhs) *= rhs;
    }
    friend mint operator/(const mint& lhs, const mint& rhs) {
        return mint(lhs) /= rhs;
    }
    friend bool operator==(const mint& lhs, const mint& rhs) {
        return lhs._v == rhs._v;
    }
    friend bool operator!=(const mint& lhs, const mint& rhs) {
        return lhs._v != rhs._v;
    }

  private:
    unsigned int _v;
    static internal::barrett bt;
    static unsigned int umod() { return bt.umod(); }
};
template <int id> internal::barrett dynamic_modint<id>::bt(998244353);

using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;

namespace internal {

template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;

template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;

template <class> struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};

template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;

}  // namespace internal

}  // namespace atcoder

#define fi first
#define se second
// #define x first
// #define y second

constexpr int N=-2026,M=998244353;//1000000007;
using mint = atcoder::static_modint<M>;
inline int qpow(ll a,auto b){int res=1;for(;b;a=a*a%M,b>>=1)if(b&1)res=res*a%M;return res;}
// #define pow qpow

signed main(){
	using std::cin,std::cout,std::cerr;
	//std::ios::sync_with_stdio(0);std::cin.tie(0);std::cout.tie(0);
	int n=g90,m=g90;
	V<mint>a(n),b(m);
	for(auto&x:a)x=int(g90);
	for(auto&x:b)x=int(g90);
	a.emplace(begin(a)),b.emplace(begin(b));
	auto s=a,si=a;
	partial_sum(all(s),begin(s));
	for(int i=0;i<ssize(si);++i)si[i]*=i;
	partial_sum(all(si),begin(si));
	mint ans=0;
	for(int j=1;j<=m;++j){
		for(int x=j-1,l;(l=x-j)<=n;x+=j){
			ckmax(l,0);
			int r=std::min(x,n);
			ans+=b[j]*(si[r]-si[l]-(x-j+1)*(s[r]-s[l]));
		}
	}
	printf("%d\n",ans);
}//main()

Submission Info

Submission Time
Task E - You WILL Like Sigma Problem
User fission
Language C++23 (GCC 15.2.0)
Score 450
Code Size 24757 Byte
Status AC
Exec Time 65 ms
Memory 11396 KiB

Compile Error

./Main.cpp: In function 'int main()':
./Main.cpp:807:18: warning: format '%d' expects argument of type 'int', but argument 2 has type 'mint' {aka 'atcoder::static_modint<998244353>'} [-Wformat=]
  807 |         printf("%d\n",ans);
      |                 ~^    ~~~
      |                  |    |
      |                  int  mint {aka atcoder::static_modint<998244353>}

Judge Result

Set Name Sample All
Score / Max Score 0 / 0 450 / 450
Status
AC × 2
AC × 22
Set Name Test Cases
Sample 00-sample-01.txt, 00-sample-02.txt
All 00-sample-01.txt, 00-sample-02.txt, 01-01.txt, 01-02.txt, 01-03.txt, 01-04.txt, 01-05.txt, 01-06.txt, 01-07.txt, 01-08.txt, 01-09.txt, 01-10.txt, 01-11.txt, 01-12.txt, 01-13.txt, 01-14.txt, 01-15.txt, 01-16.txt, 01-17.txt, 01-18.txt, 01-19.txt, 01-20.txt
Case Name Status Exec Time Memory
00-sample-01.txt AC 1 ms 3724 KiB
00-sample-02.txt AC 1 ms 3772 KiB
01-01.txt AC 1 ms 3680 KiB
01-02.txt AC 1 ms 3712 KiB
01-03.txt AC 1 ms 3688 KiB
01-04.txt AC 2 ms 3948 KiB
01-05.txt AC 2 ms 3808 KiB
01-06.txt AC 2 ms 3808 KiB
01-07.txt AC 2 ms 3772 KiB
01-08.txt AC 2 ms 3772 KiB
01-09.txt AC 65 ms 11352 KiB
01-10.txt AC 65 ms 11352 KiB
01-11.txt AC 10 ms 7316 KiB
01-12.txt AC 10 ms 7180 KiB
01-13.txt AC 10 ms 7260 KiB
01-14.txt AC 16 ms 7616 KiB
01-15.txt AC 65 ms 11372 KiB
01-16.txt AC 64 ms 11368 KiB
01-17.txt AC 64 ms 11364 KiB
01-18.txt AC 64 ms 11396 KiB
01-19.txt AC 14 ms 9340 KiB
01-20.txt AC 54 ms 9724 KiB