import std.stdio, std.array, std.string, std.conv, std.algorithm; import std.typecons, std.range, std.random, std.math, std.container; import std.numeric, std.bigint, core.bitop, std.bitmanip; void main() { immutable long MOD = 10^^9 + 7; Scanner sc = new Scanner(stdin); int N, M; sc.read(N); sc.read(M); auto W = new int[](N); foreach (i; 0..N) sc.read(W[i]); auto G = new int[][](N); foreach (_; 0..M) { int u, v; sc.read(u); sc.read(v); G[u-1] ~= v-1; } auto D = new int[][](N, N); foreach (i; 0..N) foreach (j; 0..N) D[i][j] = i == j ? W[i] : -1; foreach (i; 0..N) foreach (j; G[i]) D[i][j] = min(W[i], W[j]); foreach (i; 0..N) foreach (j; 0..N) foreach (k; 0..N) D[j][k] = max(D[j][k], min(D[j][i], D[i][k])); auto ok = new bool[][](N, N); foreach (i; 0..N) foreach (j; 0..N) ok[i][j] = D[i][j] >= W[j]; immutable int MAX = 1001; auto modinv = new long[](MAX); modinv[0] = modinv[1] = 1; foreach(i; 2..MAX) { modinv[i] = modinv[MOD % i] * (MOD - MOD / i) % MOD; } auto f_mod = new long[](MAX); auto f_modinv = new long[](MAX); f_mod[0] = f_mod[1] = 1; f_modinv[0] = f_modinv[1] = 1; foreach(i; 2..MAX) { f_mod[i] = (i * f_mod[i-1]) % MOD; f_modinv[i] = (modinv[i] * f_modinv[i-1]) % MOD; } long comb(int n, int k) { return f_mod[n] * f_modinv[n-k] % MOD * f_modinv[k] % MOD; } long ans = 0; auto mem = new long[][](1001, 1001); foreach (i; 0..1001) mem[i].fill(-1); foreach (i; 0..N) { foreach (j; 0..N) { if (!ok[i][j]) continue; if (mem[W[i]][W[j]] == -1) { long tmp2 = 0; foreach (k; 1..W[j]+1) { long tmp = (W[j] - k) % 2 == 0 ? 1 : -1; tmp = tmp * powmod(k, W[i], MOD) % MOD; tmp = tmp * comb(W[j], k) % MOD; tmp2 = ((tmp2 + tmp) % MOD + MOD) % MOD; } mem[W[i]][W[j]] = tmp2; } ans = (ans + mem[W[i]][W[j]]) % MOD; } } ans.writeln; } long powmod(long a, long x, long m) { long ret = 1; while (x) { if (x % 2) ret = ret * a % m; a = a * a % m; x /= 2; } return ret; } class Scanner { import std.stdio : File; import std.conv : to; import std.range : front, popFront, array, ElementType; import std.array : split; import std.traits : isSomeChar, isStaticArray, isArray; import std.algorithm : map; File f; this(File f) { this.f = f; } char[512] lineBuf; char[] line; private bool succW() { import std.range.primitives : empty, front, popFront; import std.ascii : isWhite; while (!line.empty && line.front.isWhite) { line.popFront; } return !line.empty; } private bool succ() { import std.range.primitives : empty, front, popFront; import std.ascii : isWhite; while (true) { while (!line.empty && line.front.isWhite) { line.popFront; } if (!line.empty) break; line = lineBuf[]; f.readln(line); if (!line.length) return false; } return true; } private bool readSingle(T)(ref T x) { import std.algorithm : findSplitBefore; import std.string : strip; import std.conv : parse; if (!succ()) return false; static if (isArray!T) { alias E = ElementType!T; static if (isSomeChar!E) { auto r = line.findSplitBefore(" "); x = r[0].strip.dup; line = r[1]; } else static if (isStaticArray!T) { foreach (i; 0..T.length) { bool f = succW(); assert(f); x[i] = line.parse!E; } } else { StackPayload!E buf; while (succW()) { buf ~= line.parse!E; } x = buf.data; } } else { x = line.parse!T; } return true; } int read(T, Args...)(ref T x, auto ref Args args) { if (!readSingle(x)) return 0; static if (args.length == 0) { return 1; } else { return 1 + read(args); } } }