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| #include <cstdio> #include <algorithm> using namespace std; template <class Type> void read (Type &x) { char c; bool flag = false; while ((c = getchar()) < '0' || c > '9') c == '-' && (flag = true); x = c - '0'; while ((c = getchar()) >= '0' && c <= '9') x = (x << 1) + (x << 3) + c - '0'; flag && (x = ~x + 1); } template <class Type, class ...rest> void read (Type &x, rest &...y) { read(x), read(y...); } template <class Type> void write (Type x) { x < 0 && (putchar('-'), x = ~x + 1); x > 9 && (write(x / 10), 0); putchar('0' + x % 10); } typedef long long LL; const int N = 1e6 + 10, mod = 1e9 + 7; bool vis[N]; int cnt, mx, p[N], f[N]; double w[N]; void adj (int &x) { x += x >> 31 & mod; } void init () { f[1] = 1; vis[1] = true; for (int i = 2; i < N; ++i) { if (!vis[i]) f[p[++cnt] = i] = i - 1; for (int j = 1; j <= cnt && i * p[j] < N; ++j) { vis[i * p[j]] = true; if (i % p[j] == 0) { f[i * p[j]] = f[i] * p[j]; break; } f[i * p[j]] = f[i] * f[p[j]]; } } for (int i = 2; i < N; ++i) adj(f[i] += f[i - 1] - mod); for (int i = 1; i < N; ++i) w[i] = 1.00000001 / i; } int get (int n, int x) { return x ? n * w[x] : mx; } int calc (int n1, int m1, int n2, int m2) { int res = 0; mx = min(n2, m2); for (int l = 1, r; l <= mx; l = r + 1) { int a = get(n1, l), b = get(m1, l), c = get(n2, l), d = get(m2, l); r = min({get(n1, a), get(m1, b), get(n2, c), get(m2, d)}); res = (res + (LL)(c - a) * (d - b) % mod * (f[r] - f[l - 1])) % mod; } adj(res); return res; } int main () { init(); int T; read(T); scanf("%*d%*d"); for (int a, b, c, d; T; --T, puts("")) read(a, b, c, d), write(calc(a - 1, b - 1, c, d)); return 0; }
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