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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
#389189#7954. Special Numberskevinyang#AC ✓349ms14056kbC++172.8kb2024-04-14 05:02:232024-04-14 05:02:24

Judging History

你现在查看的是最新测评结果

  • [2024-04-14 05:02:24]
  • 评测
  • 测评结果:AC
  • 用时:349ms
  • 内存:14056kb
  • [2024-04-14 05:02:23]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define int long long
const int mod = (int)1e9+7;
pair<int,int> get(int n, int x){
	int v = 0;
	while(n%x==0){
		v++;
		n/=x;
	}
	return make_pair(n,v);
}
vector<int>p = {2,3,5,7};
vector<int>sz;
int k;
vector<int>factors;
map<int,int>dp[25][2]; // length, equals so far
int solve(string s){
	for(int i = 0; i<25; i++){
		dp[i][0].clear();
		dp[i][1].clear();
	}
	dp[0][1][1] = 1;
	s = " " + s;
	for(int t = 1; t<s.size(); t++){
		for(int d = 0; d<10; d++){
			for(int u: factors){
				dp[t][0][__gcd(u*d,k)] += dp[t-1][0][u]; dp[t][0][__gcd(u*d,k)]%=mod;

			}
			if(t > 1 && d > 0){
				dp[t][0][__gcd(d,k)]++;
				dp[t][0][__gcd(d,k)]%=mod;
				//cout <<  "upd " << t << ' ' << __gcd(d,k) << ' ' << dp[t][0][__gcd(d,k)] << '\n';
			}
		}
		for(int d = 0; d<=s[t]-'0'; d++){
			//cout << "trying " << d << '\n';
			if(d==0 && t==1)continue;
			if(d<s[t]-'0'){
				for(int u: factors){
					dp[t][0][__gcd(u*d,k)] += dp[t-1][1][u]; dp[t][0][__gcd(u*d,k)]%=mod;
				}
			}
			else{
				for(int u: factors){
					dp[t][1][__gcd(u*d,k)] += dp[t-1][1][u]; dp[t][1][__gcd(u*d,k)]%=mod;
				}
			}
		}
	}
	/*
	if(s.size() >= 3)for(auto [a,b] : dp[3][0]){
		cout << a << ' ' << b << '\n';
	}
	if(s.size() >= 3)for(auto [a,b] : dp[2][0]){
		cout << a << ' ' << b << ' ' << 1 << '\n';
	}
	if(s.size() >= 3)for(auto [a,b] : dp[1][0]){
		cout << a << ' ' << b << ' ' << -1 << '\n';
	}
	*/
	int ans = dp[s.size()-1][0][k] + dp[s.size()-1][1][k];
	//cout << ans << '\n';
	return ans%mod;
}
signed main(){
	cin.tie(nullptr)->sync_with_stdio(false);
	cin >> k;
	int k2 = k;
	for(int i = 0; i<4; i++){
		auto [nk, cnt] = get(k2,p[i]);
		sz.push_back(cnt);
		k2 = nk;
	}
	for(int a = 0; a<=sz[0]; a++){
		for(int b = 0; b<=sz[1]; b++){
			for(int c = 0; c<=sz[2]; c++){
				for(int d = 0; d<=sz[3]; d++){
					int v = 1;
					for(int i = 0; i<a; i++){
						v*=2;
					}
					for(int i = 0; i<b; i++){
						v*=3;
					}
					for(int i = 0; i<c; i++){
						v*=5;
					}
					for(int i = 0; i<d; i++){
						v*=7;
					}
					factors.push_back(v);
				}
			}
		}
	}
	sort(factors.begin(),factors.end());
	/*
	cerr << k2 << '\n';
	cerr << "gay\n";
	
	for(int nxt: factors){
		cout << nxt << ' ';
	}
	cout << '\n' << '\n';
	*/
	if(k2!=1){
		factors.clear();
		factors.push_back(1);
		factors.push_back(11);
		k = 11;
	}
	string l,r;
	cin >> l >> r;
	for(int i = (int)l.size()-1; i>=0; i--){
		if(l[i] == '0'){
			l[i] = '9';
			continue;
		}
		l[i]--;
		break;
	}
	if(l[0] == '0'){
		l.erase(l.begin());
	}
	if(l.empty()){
		cout << solve(r)%mod << '\n';
		return 0;
	}
	int v = solve(r);
	int v2 = solve(l);
	//cout << v << ' ' << v2 << '\n';
	//cout << l << ' ' << r << '\n';
	v-=v2;
	v%=mod;
	v+=mod; v%=mod;
	cout << v << '\n';
	return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3520kb

input:

5 1 20

output:

4

result:

ok single line: '4'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

5 50 100

output:

19

result:

ok single line: '19'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

15 11 19

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

1 100 100000

output:

99901

result:

ok single line: '99901'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

10 800 43021

output:

23570

result:

ok single line: '23570'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3676kb

input:

1125899906842624 1 100000000000000000000

output:

555058180

result:

ok single line: '555058180'

Test #8:

score: 0
Accepted
time: 8ms
memory: 3884kb

input:

187500000 5941554024261918062 17356601866920567143

output:

679191360

result:

ok single line: '679191360'

Test #9:

score: 0
Accepted
time: 3ms
memory: 4072kb

input:

1555848 157165614890794026 49792374427566422833

output:

588832126

result:

ok single line: '588832126'

Test #10:

score: 0
Accepted
time: 213ms
memory: 10384kb

input:

53814924637488000 8378901287491856069 46225409092942057365

output:

964965504

result:

ok single line: '964965504'

Test #11:

score: 0
Accepted
time: 349ms
memory: 14056kb

input:

11814720750000000 8152927138245188051 35351923956338524619

output:

183963359

result:

ok single line: '183963359'

Test #12:

score: 0
Accepted
time: 99ms
memory: 6600kb

input:

6453888000000 4334845344448208535 35982793193772682339

output:

570114022

result:

ok single line: '570114022'

Test #13:

score: 0
Accepted
time: 158ms
memory: 8348kb

input:

90071357282285400 7893548167754114409 27099084703937108974

output:

869822186

result:

ok single line: '869822186'

Test #14:

score: 0
Accepted
time: 149ms
memory: 8600kb

input:

45571065750000 177160749596350425 98884377930460959454

output:

607698665

result:

ok single line: '607698665'

Test #15:

score: 0
Accepted
time: 85ms
memory: 6512kb

input:

1128443962982400 6338876482181492537 40931938533793596007

output:

881168270

result:

ok single line: '881168270'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

1 1 1

output:

1

result:

ok single line: '1'

Test #17:

score: 0
Accepted
time: 65ms
memory: 5816kb

input:

1412793457031250 2410155470167050095 99063185266833009818

output:

399813226

result:

ok single line: '399813226'

Test #18:

score: 0
Accepted
time: 182ms
memory: 9340kb

input:

67722117120000 8909573534349989418 73129289758235281558

output:

898227227

result:

ok single line: '898227227'

Test #19:

score: 0
Accepted
time: 58ms
memory: 5684kb

input:

472055808000 6809917603531307093 27494416416722163137

output:

379198478

result:

ok single line: '379198478'

Test #20:

score: 0
Accepted
time: 59ms
memory: 5620kb

input:

19353600000 8687492345912514346 24058039408337150852

output:

250715555

result:

ok single line: '250715555'

Test #21:

score: 0
Accepted
time: 48ms
memory: 5188kb

input:

47855420020225440 6150828649270625443 84863934988301168136

output:

665186711

result:

ok single line: '665186711'

Test #22:

score: 0
Accepted
time: 26ms
memory: 4532kb

input:

1382400000 9545797804645162278 70441077437727026904

output:

278230087

result:

ok single line: '278230087'

Test #23:

score: 0
Accepted
time: 9ms
memory: 4004kb

input:

816293376 2952089614708276156 10939708785225040670

output:

120954190

result:

ok single line: '120954190'

Test #24:

score: 0
Accepted
time: 8ms
memory: 4128kb

input:

4185097875 1348426133484952253 56617823359794500344

output:

773995224

result:

ok single line: '773995224'

Test #25:

score: 0
Accepted
time: 48ms
memory: 5120kb

input:

5828945117184 7777082394971366991 63470232991138132969

output:

678496908

result:

ok single line: '678496908'

Test #26:

score: 0
Accepted
time: 39ms
memory: 4920kb

input:

16184770560 3869053219872876321 94590086601168840932

output:

168181821

result:

ok single line: '168181821'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

2 1 12

output:

6

result:

ok single line: '6'

Test #28:

score: 0
Accepted
time: 9ms
memory: 3996kb

input:

30146484375 290228705524339176 51853415145287716863

output:

229436627

result:

ok single line: '229436627'

Test #29:

score: 0
Accepted
time: 98ms
memory: 6748kb

input:

2072513819443200 3726664558969607832 42501102605103061370

output:

947952932

result:

ok single line: '947952932'

Test #30:

score: 0
Accepted
time: 262ms
memory: 11844kb

input:

9920232000000000 4602219263214498291 80783137037024823899

output:

846877519

result:

ok single line: '846877519'

Test #31:

score: 0
Accepted
time: 126ms
memory: 7668kb

input:

97200000000000000 9310820760839688870 35322929083473756214

output:

936587432

result:

ok single line: '936587432'

Test #32:

score: 0
Accepted
time: 17ms
memory: 4464kb

input:

45209390625 5752361069878044328 64635325028527078951

output:

578047592

result:

ok single line: '578047592'

Test #33:

score: 0
Accepted
time: 201ms
memory: 10524kb

input:

54442233216000 2452030574225118723 90982734056131320662

output:

417646585

result:

ok single line: '417646585'

Test #34:

score: 0
Accepted
time: 56ms
memory: 5652kb

input:

1530550080000 7431421026778839808 84825282227911272129

output:

600103842

result:

ok single line: '600103842'

Test #35:

score: 0
Accepted
time: 124ms
memory: 7824kb

input:

13765147361280 4924477486471254843 10002324705150566233

output:

951883713

result:

ok single line: '951883713'

Test #36:

score: 0
Accepted
time: 144ms
memory: 8316kb

input:

59825698242187500 6303744363677706767 91410210495502213963

output:

774734375

result:

ok single line: '774734375'

Test #37:

score: 0
Accepted
time: 151ms
memory: 8496kb

input:

110658879959040 2133591391458550040 48494371567095341228

output:

103505650

result:

ok single line: '103505650'

Test #38:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

1 3 100

output:

98

result:

ok single line: '98'

Test #39:

score: 0
Accepted
time: 136ms
memory: 7852kb

input:

3160365465600 8968721517098518892 78444481529635953131

output:

364620926

result:

ok single line: '364620926'

Test #40:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

54838448056132899 4242999884713464056 92948071680698209741

output:

922087167

result:

ok single line: '922087167'

Test #41:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

78183771565555182 7823307199080715671 93466469990450000599

output:

635073629

result:

ok single line: '635073629'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

56555532446322947 2952925229100796893 35926880503684324113

output:

663547216

result:

ok single line: '663547216'

Test #43:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

15701121272683095 8633703383009071570 55273589042372583668

output:

253996413

result:

ok single line: '253996413'

Test #44:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

11914467542453704 2857068399817941722 83230805830740136213

output:

956698341

result:

ok single line: '956698341'

Test #45:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

28181999963152819 7948365158338416594 87742700746768593189

output:

720016372

result:

ok single line: '720016372'

Test #46:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

85409868208332321 3921672860136397259 55474188860042435613

output:

622329181

result:

ok single line: '622329181'

Test #47:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

14748052718175068 9293071633738211123 85443373435217434149

output:

38392129

result:

ok single line: '38392129'

Test #48:

score: 0
Accepted
time: 0ms
memory: 3588kb

input:

41002058985303228 6141335647135876923 78910335860595680506

output:

665823537

result:

ok single line: '665823537'

Test #49:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

4 3 123

output:

62

result:

ok single line: '62'

Test #50:

score: 0
Accepted
time: 10ms
memory: 4456kb

input:

100000000000000000 3 100000000000000000000

output:

302574822

result:

ok single line: '302574822'

Test #51:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

6 7 12034

output:

9505

result:

ok single line: '9505'

Test #52:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

7 8 43021

output:

25028

result:

ok single line: '25028'

Test #53:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

8 8 43021

output:

32619

result:

ok single line: '32619'

Test #54:

score: 0
Accepted
time: 0ms
memory: 3888kb

input:

9 800 43021

output:

30930

result:

ok single line: '30930'