結果

問題 No.1261 数字集め
ユーザー torisasami4torisasami4
提出日時 2020-10-17 01:31:21
言語 C++14
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 2,979 ms / 8,000 ms
コード長 5,615 bytes
コンパイル時間 2,139 ms
コンパイル使用メモリ 176,224 KB
実行使用メモリ 65,880 KB
最終ジャッジ日時 2023-09-28 10:40:49
合計ジャッジ時間 227,706 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge14
このコードへのチャレンジ
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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 2,915 ms
65,404 KB
testcase_01 AC 1,750 ms
55,276 KB
testcase_02 AC 2,228 ms
61,384 KB
testcase_03 AC 2,385 ms
61,316 KB
testcase_04 AC 1,905 ms
57,460 KB
testcase_05 AC 2,873 ms
65,140 KB
testcase_06 AC 2,108 ms
58,224 KB
testcase_07 AC 2,287 ms
61,744 KB
testcase_08 AC 1,857 ms
56,712 KB
testcase_09 AC 1,971 ms
58,520 KB
testcase_10 AC 1,306 ms
50,376 KB
testcase_11 AC 2,777 ms
64,956 KB
testcase_12 AC 2,591 ms
63,328 KB
testcase_13 AC 2,417 ms
61,808 KB
testcase_14 AC 1,300 ms
51,184 KB
testcase_15 AC 1,815 ms
55,920 KB
testcase_16 AC 2,546 ms
61,712 KB
testcase_17 AC 1,868 ms
59,556 KB
testcase_18 AC 1,772 ms
55,932 KB
testcase_19 AC 2,393 ms
61,536 KB
testcase_20 AC 1,415 ms
51,612 KB
testcase_21 AC 2,881 ms
65,668 KB
testcase_22 AC 2,815 ms
65,744 KB
testcase_23 AC 2,872 ms
65,560 KB
testcase_24 AC 2,979 ms
65,860 KB
testcase_25 AC 2,873 ms
65,628 KB
testcase_26 AC 2,898 ms
65,636 KB
testcase_27 AC 2,912 ms
65,672 KB
testcase_28 AC 2,874 ms
65,624 KB
testcase_29 AC 2,882 ms
65,544 KB
testcase_30 AC 2,903 ms
65,628 KB
testcase_31 AC 2,824 ms
65,740 KB
testcase_32 AC 2,906 ms
65,616 KB
testcase_33 AC 2,886 ms
65,564 KB
testcase_34 AC 2,863 ms
65,560 KB
testcase_35 AC 2,859 ms
65,604 KB
testcase_36 AC 2,849 ms
65,880 KB
testcase_37 AC 2,843 ms
65,816 KB
testcase_38 AC 2,864 ms
65,676 KB
testcase_39 AC 2,819 ms
65,468 KB
testcase_40 AC 2,816 ms
65,760 KB
testcase_41 AC 2,845 ms
65,608 KB
testcase_42 AC 2,852 ms
65,532 KB
testcase_43 AC 2,831 ms
65,672 KB
testcase_44 AC 2,635 ms
63,636 KB
testcase_45 AC 1,505 ms
53,024 KB
testcase_46 AC 1,997 ms
57,428 KB
testcase_47 AC 1,719 ms
55,188 KB
testcase_48 AC 2,343 ms
61,516 KB
testcase_49 AC 2,492 ms
63,492 KB
testcase_50 AC 2,430 ms
62,072 KB
testcase_51 AC 1,496 ms
53,532 KB
testcase_52 AC 1,335 ms
50,168 KB
testcase_53 AC 1,562 ms
53,488 KB
testcase_54 AC 1,557 ms
54,132 KB
testcase_55 AC 1,428 ms
52,064 KB
testcase_56 AC 1,419 ms
52,436 KB
testcase_57 AC 2,345 ms
61,144 KB
testcase_58 AC 1,498 ms
53,348 KB
testcase_59 AC 2,579 ms
64,116 KB
testcase_60 AC 1,576 ms
53,796 KB
testcase_61 AC 1,720 ms
55,652 KB
testcase_62 AC 2,500 ms
62,604 KB
testcase_63 AC 1,400 ms
52,288 KB
testcase_64 AC 2,759 ms
65,148 KB
testcase_65 AC 2,104 ms
60,012 KB
testcase_66 AC 2,102 ms
58,516 KB
testcase_67 AC 2,431 ms
62,576 KB
testcase_68 AC 1,956 ms
57,884 KB
testcase_69 AC 1,960 ms
57,692 KB
testcase_70 AC 1,679 ms
56,188 KB
testcase_71 AC 2,464 ms
62,060 KB
testcase_72 AC 1,566 ms
54,328 KB
testcase_73 AC 1,708 ms
55,120 KB
testcase_74 AC 1,421 ms
52,508 KB
testcase_75 AC 1,927 ms
57,128 KB
testcase_76 AC 2,265 ms
61,204 KB
testcase_77 AC 2,322 ms
62,836 KB
testcase_78 AC 1,266 ms
50,020 KB
testcase_79 AC 2,559 ms
63,364 KB
testcase_80 AC 1,215 ms
50,104 KB
testcase_81 AC 1,236 ms
51,672 KB
testcase_82 AC 2,267 ms
60,260 KB
testcase_83 AC 1,664 ms
54,596 KB
testcase_84 AC 2,975 ms
65,620 KB
testcase_85 AC 2,861 ms
65,688 KB
testcase_86 AC 2,869 ms
65,528 KB
testcase_87 AC 2,813 ms
65,672 KB
testcase_88 AC 2,845 ms
65,612 KB
testcase_89 AC 2,819 ms
65,684 KB
testcase_90 AC 2,900 ms
65,600 KB
testcase_91 AC 2,835 ms
65,740 KB
testcase_92 AC 2,846 ms
65,604 KB
testcase_93 AC 2,759 ms
65,628 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;
}

mint inv[2000011], p[2000011];

mint calc(ll a, ll b, ll c){
	ll cb = c - b, ca = c - a, ba = b - a;
	mint icb = inv[cb+(int)1e6], ica = inv[ca+(int)1e6], iba = inv[ba+(int)1e6];
	mint pc = p[c+(int)1e6], pb = p[b+(int)1e6], pa = p[a+(int)1e6];
	mint ans = pc * ica * icb;
	ans += pa * ica * iba;
	ans -= pb * icb * iba;
	return ans;
}

int main()
{
	ll n, m;
	cin >> n >> m;
	ll a[n + 1];
	rep(i, n - 1) scanf("%lld",&a[i + 2]), a[i + 2]--;
	mint ans = 0;
	mint sum[n + 1] = {};
	int f[n + 1] = {};
	rep(i, 2e6+10){
		ll t = i - 1e6;
		if(t < 0)
			t += mod;
		if(t!=0)
			inv[i] = modinv(t), p[i] = mpow(t, m - 1);
	}
	for (ll i = 2; i < n; i++){
		if(n%i==0){
			ans += sum[i];
			f[i]++;
		}
		for (ll j = i * 2; j < n; j += i)
			sum[j] += calc(a[i],a[j],a[n]);
	}
	cout << ans << endl;
	ll q;
	cin >> q;
	rep(i, q){
		ll x, y;
		cin >> x >> y;
		if(y == n){
			ans += sum[x];
			f[x]++;
		}
		else{
			if(f[y])
				ans += calc(a[x],a[y],a[n]);
			sum[y] += calc(a[x],a[y],a[n]);
		}
		cout << ans << endl;
	}
}
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