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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#507975#8337. Counter Reset Problemucup-team2307TL 14ms17332kbC++179.0kb2024-08-07 01:30:062024-08-07 01:30:07

Judging History

你现在查看的是最新测评结果

  • [2024-08-07 01:30:07]
  • 评测
  • 测评结果:TL
  • 用时:14ms
  • 内存:17332kb
  • [2024-08-07 01:30:06]
  • 提交

answer

#pragma GCC optimize("trapv")
#include <bits/stdc++.h>
using ll = long long;
using namespace std;
#define all(x) begin(x), end(x)

using uint = uint32_t;
const int mod = 1000000009;
namespace math {
const int L = 1<<20, A = 1<<20, B = 32, G = 3;
 
#define INLINE inline __attribute__ (( always_inline ))
struct mint {
	uint32_t v;
	template<class T = int>
	mint(T x = 0) {
		x %= mod;
		if(x < 0) x += mod;
		v = x;
	}
	mint operator-() const {
		return mint(v ? mod-v : 0);
	}
	mint &operator*=(const mint &r) {
		v = v*1ll*r.v%mod;
		return *this;
	}
	mint &operator+=(const mint &r) {
		v = v+r.v>=mod ? (v+r.v-mod) : (v+r.v);
		return *this;
	}
	mint &operator-=(const mint &r) { 
		return *this += -r;
	}
	mint &operator/=(const mint &r) {
		return *this *= r.inv();
	}
	friend mint operator+(mint a, const mint &b) {
		return a += b;
	}
	friend mint operator-(mint a, const mint &b) {
		return a -= b;
	}
	friend mint operator*(mint a, const mint &b) {
		return a *= b;
	}
	friend mint operator/(mint a, const mint &b) {
		return a /= b;
	}
	
	template<class T = int>
	mint pow(T p) const {
		mint res = 1, cur = *this;
		while(p) {
			if(p&1) res = res*cur;
			cur = cur*cur, p>>=1;
		}
		return res;
	}
	mint inv() const {
		return mint(*this).pow(mod-2);
	}
	
	friend bool operator==(const mint &a, const mint &b) {
		return a.v == b.v;
	}
	friend bool operator!=(const mint &a, const mint &b) {
		return !(a == b);
	}
	
	friend istream& operator>>(istream &is, mint &m) {
		ll v;
		is >> v;
		m = mint(v);
		return is;
	}
	friend ostream& operator<<(ostream &os, const mint &m) {
		os << m.v; 
		return os;
	}
};
 
mint fact[A], inum[A], ifact[A];
void calc_inum() {
	inum[1] = 1;
	for(int i = 2; i < A; i++) inum[i] = -inum[mod%i]*(mod/i);
}
void calc_combi() {
	if(0 == inum[1]) calc_inum();
	fact[0] = ifact[0] = 1;
	for(int i = 1; i < A; i++) fact[i] = fact[i-1]*i;
	for(int i = 1; i < A; i++) ifact[i] = ifact[i-1]*inum[i];
}
 
mint nck(int n, int k) {
	if(0 == fact[0]) calc_combi();
	if(k > n || k < 0) return 0;
	return fact[n]*ifact[k]*ifact[n-k];
}
 
uint W[L], WI[L];
INLINE void calc_roots() {
	W[0] = 1;
	int g = mint(G).pow((mod-1)/L).v;
	int i;
	for(i = 1; i < L/2; i++) W[i] = W[i-1]*1ull*g%mod;
	for(int x = 2; x < L; x*=2) {
		for(int y = 0; y < L/2; y+=x)
			W[i++] = W[y];
	}
	for(i = 0; i < L; i++) {
		WI[i] = (uint64_t(W[i])<<B)/mod;
	}
}
INLINE void _ntt(int N, vector<mint> &a) {//normal poly -> bit-rev dft | internally [0; 2*mod)
	int pos = 0;
	for(int l = L/2; l != N/2; l/=2)
		pos += l;
	for(int l = N/2; l; l/=2) {
		for(int x = 0; x < N; x+=2*l) {
			for(int j = pos, i = 0; i < l; i++, j++) {
				uint u = a[x+i].v+a[x+l+i].v;
				if(u >= 2*mod) u -= 2*mod;
				uint v = a[x+i].v-a[x+l+i].v+2*mod;
				uint Q = (v*1ull*WI[j])>>B;
				v = v*W[j] - Q*mod;
				a[x+i].v = u, a[x+l+i].v = v;
			}
		}
		pos += l;
	}
	for(int i = 0; i < N; i++) if(a[i].v >= mod) a[i].v -= mod;
}
 
INLINE void _ntt_inv(int N, vector<mint> &a) {//bit-rev dft -> normal poly | internally [0; 4*mod)
	int pos = L-2;
	for(int l = 1; l < N; l*=2) {
		for(int x = 0; x < N; x += 2*l) {
			for(int j = pos, i = 0; i < l; i++, j++) {
				uint u = a[x+i].v, v = a[x+l+i].v;
				uint Q = (WI[j]*1ull*v)>>B;
				if(u >= 2*mod) u -= 2*mod;
				v = v*W[j] - Q*mod;
				a[x+i].v = u+v, a[x+l+i].v = u-v+2*mod;
			}
		}
		pos -= 2*l;
	}
	reverse(1 + all(a));
	mint x = mint((mod+1)/2).pow(__lg(N));
	for(auto &i : a) i *= x;//takes care of 2*mod
}
template<bool inv>
INLINE void ntt(int n, vector<mint> &a) {//don't forget about reverse order
	if(W[0] == 0) calc_roots();
	if(!inv) _ntt(n, a);
	else _ntt_inv(n, a);
}
 
 
struct poly : vector<mint> {
	template<class... Args>
	explicit poly(Args... args) : vector<mint>(args...) {}
	poly(initializer_list<mint> il) : vector<mint>(il.begin(), il.end()) {}
	poly &trim(int k) {// mod x^k
		if(size() > k) {
			erase(begin()+k, end());
			shrink_to_fit();
		}
		return *this;
	}
	poly &trim() {//remove heading zeroes
		int k = 0;
		while(k < size() && (*this)[size()-k-1] == 0) k++;
		trim(size()-k);
		return *this;
	}
	poly low(int k) const {//get first k coefficients
		k = min(k, (int)size());
		poly res;
		for(int i = 0; i < k; i++) res.push_back((*this)[i]);
		return res;
	}
	friend poly operator*(poly a, const poly &b) {
		poly res = b;
		int n = a.size()+b.size()-1;
		while(n&(n-1)) n += n&-n;
		a.resize(n);
		res.resize(n);
		ntt<0>(n, a);
		ntt<0>(n, res);
		for(int i = 0; i < n; i++) res[i] *= a[i];
		ntt<1>(n, res);
		res.trim();//remove ?
		return res;
	}
	poly &operator*=(const poly &b) {
		return (*this) = (*this)*b;
	}
	
	template<class T>
	poly &operator*=(const T &x) {
		for(auto &i : *this) i *= x;
		return *this;
	}
	poly &operator+=(const poly &x) {
		if(size() < x.size()) resize(x.size());
		for(int i = 0; i < min(size(), x.size()); i++) (*this)[i] += x[i];
		return *this;
	}
	poly &operator-=(const poly &x) {
		if(size() < x.size()) resize(x.size());
		for(int i = 0; i < min(size(), x.size()); i++) (*this)[i] -= x[i];
		return *this;
	}
	
	template<class T> friend poly operator*(poly p, const T &x) { return p *= x; }
	template<class T> friend poly operator*(const T &x, poly p) { return p *= x; }
	friend poly operator+(poly p, const poly &x) { return p += x; }
	friend poly operator-(poly p, const poly &x) { return p -= x; }
	
	poly inv(int N) {//first n coefficients of P^-1
		assert((*this)[0].v);
		poly R {(*this)[0].inv()};
		R.reserve(2*N);
		for(int len = 2; len/2 < N; len*=2) {//R' = R(2 - RT)
			poly T = low(len);
			T.resize(2*len);ntt<0>(2*len, T);
			R.resize(2*len);ntt<0>(2*len, R);
			for(int i = 0; i < 2*len; i++) R[i] = R[i]*(2 - R[i]*T[i]);
			ntt<1>(2*len, R);
			R.trim(len);
		}
		return R.trim(N);
	}
	poly &derive() {
		for(int i = 0; i+1 < size(); i++) {
			(*this)[i] = (*this)[i+1]*(i+1);
		}
		pop_back();
		return *this;
	}
	
	poly derivative() { return poly(*this).derive(); }
	poly &integrate() {
		if(0 == inum[1]) calc_inum();
		push_back(0);
		for(int i = size(); i-- > 1;) {
			(*this)[i] = (*this)[i-1] * inum[i];
		}
		(*this)[0] = 0;
		return *this;
	}
	poly integral() { return poly(*this).integrate(); }
	
	poly ln(int N) {//first n coefficients of ln(P) = P'/P
		return (low(N+1).derivative() * inv(N)).trim(N-1).integrate().trim(N);
	}
	poly exp(int N) {//first n coefficients of exp(P), quite slow
		poly R{1};
		for(int len = 2; len/2 < N; len*=2) {
			R = (R*(poly{1}+low(len)-R.ln(len))).trim(len);
		}
		return R.trim(N);
	}
};
}
using namespace math;
const int D = 9;

int getbit(int msk, int b) { return (msk >> b) & 1; }
int update_lds(int msk, int d) {
    // d = D - 1 - d;
    int x = d;
    while(x < 10 && !getbit(msk, x)) x++;
    if(x < 10) msk -= 1<<x;
    return msk + (1<<d);
}

mint count(string N, bool include) {
    reverse(all(N));
    vector dp(1<<D, vector<mint>(2, 0));
    dp[0][include] = 1;
    for(int dig = 0; dig < N.size(); dig++) {
        vector ndp(1<<D, vector<mint>(2, 0));
        for(int msk = 0; msk < 1<<D; msk++) {
            for(int d = 0; d < 10; d++) {
                int nmsk = d ? update_lds(msk, d - 1) : msk;
                for(int flag = 0; flag < 2; flag++) {
                    int N_dig = N[dig] - '0';
                    int nflag = d == N_dig ? flag : d < N_dig;
                    ndp[nmsk][nflag] += dp[msk][flag];
                }
            }
        }
        dp = ndp;
        // for(int msk = 0; msk < 1<<D; msk++) {
        //     if(dp[msk][1].v) cout << msk << " " << dp[msk][1] << endl;
        // }
        // cout << "---" << endl;
    }
    mint ans = 0;
    for(int msk = 1; msk < 1<<D; msk++) {
        ans +=(__builtin_popcount(msk) - 1) * dp[msk][1];
        // if(dp[msk][1].v) cout << msk << " " << dp[msk][1] << endl;
    }
    return ans;
}

int n;
string s;

int easy_score()
{
    mint ans = 0;
    for(auto i : s) ans = (10*ans + i - '0'); ans += 1;
    ans *= 10 - (s[0] - '0');
    for(int d = 0; d < s[0] - '0'; d++) {
        ans += (d+1) * (mint(10).pow(s.size() - 1));
    }
    return ans.v;
}
int hard_score()
{
    return count(s, 1).v;
}
int score()
{
    int A = easy_score();
    int B = hard_score();
    // cout<<s<<" "<<A<<" "<<B<<"\n";
    return (A+B*10ll)%mod;
}

signed main()
{
  cin.tie(0)->sync_with_stdio(0);
  cin.exceptions(cin.failbit);
    // cout << count("040139021316", 1) << endl;
    // cout << count("10", 1) << endl;
    // return 0;

  cin>>n;
// n = 5000;
    string l, r;
    cin>>l>>r;
    // l = r= string(5000, '0');
    // r[0] = '1';
    s = r;
    int A = score();
    int B = 0;
    if (l != string(n, '0'))
    {
        int pos = n-1;
        while (true)
        {
            if (l[pos] == '0')
                l[pos--] = '9';
            else
            {
                l[pos] = l[pos]-1;
                break;
            }
        }
    }
    s = l;
    B = score();
    
    cout<<mint(A-B)<<"\n";
}

详细

Test #1:

score: 100
Accepted
time: 14ms
memory: 16444kb

input:

2
19 23

output:

51

result:

ok 1 number(s): "51"

Test #2:

score: 0
Accepted
time: 10ms
memory: 16564kb

input:

6
100084 518118

output:

9159739

result:

ok 1 number(s): "9159739"

Test #3:

score: 0
Accepted
time: 12ms
memory: 17276kb

input:

12
040139021316 234700825190

output:

771011551

result:

ok 1 number(s): "771011551"

Test #4:

score: 0
Accepted
time: 13ms
memory: 17332kb

input:

1
5 6

output:

9

result:

ok 1 number(s): "9"

Test #5:

score: 0
Accepted
time: 13ms
memory: 16240kb

input:

2
06 72

output:

609

result:

ok 1 number(s): "609"

Test #6:

score: 0
Accepted
time: 14ms
memory: 16932kb

input:

3
418 639

output:

2912

result:

ok 1 number(s): "2912"

Test #7:

score: -100
Time Limit Exceeded

input:

5000
0517031462295902016787205636287842713710486158285091634061538907131690102542613263904109051429895599547551249682345434244517372300211330243052548402051817254239088411128320032011447373157210750522722463984933692575118884942425236057310901139962840332684448050855646476051878413350560455871387882...

output:

107583434

result: