結果

問題 No.1262 グラフを作ろう！
ユーザー torisasami4torisasami4
提出日時 2020-10-17 15:01:47
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 429 ms / 3,000 ms
コード長 5,094 bytes
コンパイル時間 2,746 ms
コンパイル使用メモリ 177,072 KB
実行使用メモリ 50,176 KB
最終ジャッジ日時 2024-07-21 02:31:04
合計ジャッジ時間 32,892 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge5
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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 358 ms
41,568 KB
testcase_01 AC 250 ms
40,192 KB
testcase_02 AC 370 ms
44,568 KB
testcase_03 AC 335 ms
37,804 KB
testcase_04 AC 73 ms
46,928 KB
testcase_05 AC 201 ms
43,076 KB
testcase_06 AC 72 ms
49,244 KB
testcase_07 AC 52 ms
36,992 KB
testcase_08 AC 255 ms
47,460 KB
testcase_09 AC 228 ms
36,568 KB
testcase_10 AC 190 ms
39,680 KB
testcase_11 AC 275 ms
48,860 KB
testcase_12 AC 352 ms
40,568 KB
testcase_13 AC 345 ms
38,316 KB
testcase_14 AC 171 ms
40,576 KB
testcase_15 AC 175 ms
35,836 KB
testcase_16 AC 279 ms
46,464 KB
testcase_17 AC 254 ms
43,904 KB
testcase_18 AC 393 ms
46,156 KB
testcase_19 AC 81 ms
45,476 KB
testcase_20 AC 166 ms
49,872 KB
testcase_21 AC 404 ms
44,268 KB
testcase_22 AC 54 ms
44,544 KB
testcase_23 AC 214 ms
37,760 KB
testcase_24 AC 272 ms
47,068 KB
testcase_25 AC 57 ms
40,832 KB
testcase_26 AC 90 ms
41,984 KB
testcase_27 AC 177 ms
46,592 KB
testcase_28 AC 154 ms
44,776 KB
testcase_29 AC 117 ms
46,164 KB
testcase_30 AC 136 ms
41,472 KB
testcase_31 AC 395 ms
41,728 KB
testcase_32 AC 236 ms
41,860 KB
testcase_33 AC 99 ms
35,924 KB
testcase_34 AC 215 ms
49,280 KB
testcase_35 AC 326 ms
39,116 KB
testcase_36 AC 114 ms
35,616 KB
testcase_37 AC 407 ms
46,304 KB
testcase_38 AC 222 ms
44,904 KB
testcase_39 AC 206 ms
37,192 KB
testcase_40 AC 194 ms
39,296 KB
testcase_41 AC 141 ms
47,360 KB
testcase_42 AC 340 ms
46,944 KB
testcase_43 AC 186 ms
43,548 KB
testcase_44 AC 209 ms
42,496 KB
testcase_45 AC 307 ms
48,384 KB
testcase_46 AC 117 ms
49,752 KB
testcase_47 AC 222 ms
35,804 KB
testcase_48 AC 284 ms
46,080 KB
testcase_49 AC 394 ms
45,696 KB
testcase_50 AC 325 ms
47,232 KB
testcase_51 AC 267 ms
37,548 KB
testcase_52 AC 135 ms
48,820 KB
testcase_53 AC 75 ms
38,656 KB
testcase_54 AC 375 ms
40,320 KB
testcase_55 AC 270 ms
41,396 KB
testcase_56 AC 137 ms
46,684 KB
testcase_57 AC 429 ms
48,500 KB
testcase_58 AC 337 ms
39,444 KB
testcase_59 AC 134 ms
47,536 KB
testcase_60 AC 404 ms
47,468 KB
testcase_61 AC 165 ms
39,936 KB
testcase_62 AC 369 ms
44,240 KB
testcase_63 AC 371 ms
39,496 KB
testcase_64 AC 258 ms
41,152 KB
testcase_65 AC 82 ms
41,856 KB
testcase_66 AC 174 ms
40,704 KB
testcase_67 AC 126 ms
43,008 KB
testcase_68 AC 107 ms
49,740 KB
testcase_69 AC 137 ms
42,112 KB
testcase_70 AC 285 ms
48,964 KB
testcase_71 AC 243 ms
45,056 KB
testcase_72 AC 334 ms
48,512 KB
testcase_73 AC 387 ms
45,184 KB
testcase_74 AC 309 ms
42,424 KB
testcase_75 AC 284 ms
45,184 KB
testcase_76 AC 231 ms
44,660 KB
testcase_77 AC 293 ms
43,776 KB
testcase_78 AC 280 ms
45,812 KB
testcase_79 AC 374 ms
48,768 KB
testcase_80 AC 273 ms
49,432 KB
testcase_81 AC 286 ms
43,372 KB
testcase_82 AC 350 ms
44,032 KB
testcase_83 AC 257 ms
48,512 KB
testcase_84 AC 238 ms
44,788 KB
testcase_85 AC 407 ms
48,436 KB
testcase_86 AC 309 ms
44,884 KB
testcase_87 AC 375 ms
47,232 KB
testcase_88 AC 285 ms
43,264 KB
testcase_89 AC 254 ms
48,000 KB
testcase_90 AC 366 ms
50,048 KB
testcase_91 AC 370 ms
50,048 KB
testcase_92 AC 361 ms
50,176 KB
testcase_93 AC 387 ms
50,048 KB
testcase_94 AC 358 ms
50,036 KB
testcase_95 AC 358 ms
50,048 KB
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ソースコード

diff # 

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define pb(x) push_back(x)
#define mp(a, b) make_pair(a, b)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define lscan(x) scanf("%I64d", &x)
#define lprint(x) printf("%I64d", x)
#define rep(i, n) for (ll i = 0; i < (n); i++)
#define rep2(i, n) for (ll i = n - 1; i >= 0; i--)
const ll mod = 1e9 + 7;

ll gcd(ll a, ll b)
{
	ll c = a % b;
	while (c != 0)
	{
		a = b;
		b = c;
		c = a % b;
	}
	return b;
}

long long extGCD(long long a, long long b, long long &x, long long &y)
{
	if (b == 0)
	{
		x = 1;
		y = 0;
		return a;
	}
	long long d = extGCD(b, a % b, y, x);
	y -= a / b * x;
	return d;
}

struct UnionFind
{
	vector<ll> data;

	UnionFind(int sz)
	{
		data.assign(sz, -1);
	}

	bool unite(int x, int y)
	{
		x = find(x), y = find(y);
		if (x == y)
			return (false);
		if (data[x] > data[y])
			swap(x, y);
		data[x] += data[y];
		data[y] = x;
		return (true);
	}

	int find(int k)
	{
		if (data[k] < 0)
			return (k);
		return (data[k] = find(data[k]));
	}

	ll size(int k)
	{
		return (-data[find(k)]);
	}
};

ll M = 1000000007;

vector<ll> fac(2000011);  //n!(mod M)
vector<ll> ifac(2000011); //k!^{M-2} (mod M)

ll mpow(ll x, ll n)
{
	ll ans = 1;
	while (n != 0)
	{
		if (n & 1)
			ans = ans * x % M;
		x = x * x % M;
		n = n >> 1;
	}
	return ans;
}
ll mpow2(ll x, ll n, ll mod)
{
	ll ans = 1;
	while (n != 0)
	{
		if (n & 1)
			ans = ans * x % mod;
		x = x * x % mod;
		n = n >> 1;
	}
	return ans;
}
void setcomb()
{
	fac[0] = 1;
	ifac[0] = 1;
	for (ll i = 0; i < 2000010; i++)
	{
		fac[i + 1] = fac[i] * (i + 1) % M; // n!(mod M)
	}
	ifac[2000010] = mpow(fac[2000010], M - 2);
	for (ll i = 2000010; i > 0; i--)
	{
		ifac[i - 1] = ifac[i] * i % M;
	}
}
ll comb(ll a, ll b)
{
	if (a == 0 && b == 0)
		return 1;
	if (a < b || a < 0)
		return 0;
	ll tmp = ifac[a - b] * ifac[b] % M;
	return tmp * fac[a] % M;
}
ll perm(ll a, ll b)
{
	if (a == 0 && b == 0)
		return 1;
	if (a < b || a < 0)
		return 0;
	return fac[a] * ifac[a - b] % M;
}
long long modinv(long long a)
{
	long long b = M, u = 1, v = 0;
	while (b)
	{
		long long t = a / b;
		a -= t * b;
		swap(a, b);
		u -= t * v;
		swap(u, v);
	}
	u %= M;
	if (u < 0)
		u += M;
	return u;
}
ll modinv2(ll a, ll mod)
{
	ll b = mod, u = 1, v = 0;
	while (b)
	{
		ll t = a / b;
		a -= t * b;
		swap(a, b);
		u -= t * v;
		swap(u, v);
	}
	u %= mod;
	if (u < 0)
		u += mod;
	return u;
}

template <int mod>
struct ModInt
{
	int x;

	ModInt() : x(0) {}

	ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

	ModInt &operator+=(const ModInt &p)
	{
		if ((x += p.x) >= mod)
			x -= mod;
		return *this;
	}

	ModInt &operator-=(const ModInt &p)
	{
		if ((x += mod - p.x) >= mod)
			x -= mod;
		return *this;
	}

	ModInt &operator*=(const ModInt &p)
	{
		x = (int)(1LL * x * p.x % mod);
		return *this;
	}

	ModInt &operator/=(const ModInt &p)
	{
		*this *= p.inverse();
		return *this;
	}

	ModInt operator-() const { return ModInt(-x); }

	ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }

	ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }

	ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }

	ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }

	bool operator==(const ModInt &p) const { return x == p.x; }

	bool operator!=(const ModInt &p) const { return x != p.x; }

	ModInt inverse() const
	{
		int a = x, b = mod, u = 1, v = 0, t;
		while (b > 0)
		{
			t = a / b;
			swap(a -= t * b, b);
			swap(u -= t * v, v);
		}
		return ModInt(u);
	}

	ModInt pow(int64_t n) const
	{
		ModInt ret(1), mul(x);
		while (n > 0)
		{
			if (n & 1)
				ret *= mul;
			mul *= mul;
			n >>= 1;
		}
		return ret;
	}

	friend ostream &operator<<(ostream &os, const ModInt &p)
	{
		return os << p.x;
	}

	friend istream &operator>>(istream &is, ModInt &a)
	{
		int64_t t;
		is >> t;
		a = ModInt<mod>(t);
		return (is);
	}

	static int get_mod() { return mod; }
};

using mint = ModInt<mod>;

typedef vector<vector<mint>> Matrix;

Matrix mul(Matrix a, Matrix b)
{
	int i, j, k;
	mint t;
	int n = a.size(), m = b[0].size(), l = a[0].size();
	Matrix c(n, vector<mint>(m));
	for (i = 0; i < n; i++)
	{
		for (j = 0; j < m; j++)
		{
			t = 0;
			for (k = 0; k < l; k++)
				t += a[i][k] * b[k][j];
			c[i][j] = t;
		}
	}
	return c;
}

Matrix mat_pow(Matrix x, ll n)
{
	ll k = x.size();
	Matrix ans(k, vector<mint>(k, 0));
	for (int i = 0; i < k; i++)
		ans[i][i] = 1;
	while (n != 0)
	{
		if (n & 1)
			ans = mul(ans, x);
		x = mul(x, x);
		n = n >> 1;
	}
	return ans;
}

int main()
{
	ll n,m;
	cin>>n>>m;
	ll p[n+1];
	rep(i, n + 1) p[i] = 1;
	for (ll i = 2; i <= n;i++){
		if(p[i]==1){
			for (ll j = i * 2; j <= n;j+=i)
				p[j] = i;
		}
	}
	ll sum[n + 1];
	sum[1] = 1;
	for (ll i = 2; i <= n;i++){
		if(p[i]==1)
			sum[i] = 2 * i - 1;
		else{
			ll ci = i;
			ll k = 1;
			while (ci % p[i] == 0)
				ci /= p[i], k *= p[i];
			sum[i] = sum[ci] * (k-k/p[i]) + sum[i/p[i]] * p[i];
		}
	}
	ll ans = 0, a;
	rep(i, m) cin >> a, ans += sum[a] - a;
	cout << ans << endl;
}
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