#include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define ll long long #define MOD 998244353 #define ld long double #define INF 2251799813685248 #define vall(A) A.begin(),A.end() #define gridinput(vv,H,W) for (ll i = 0; i < H; i++){string T; cin >> T; for(ll j = 0; j < W; j++){vv[i][j] = {T[j]};}} #define adjustedgridinput(vv,H,W) for (ll i = 1; i <= H; i++){string T; cin >> T; for(ll j = 1; j <= W; j++){vv[i][j] = {T[j-1]};}} #define vin(A) for (ll i = 0, sz = A.size(); i < sz; i++){cin >> A[i];} #define vout(A) for(ll i = 0, sz = A.size(); i < sz; i++){cout << A[i] << " \n"[i == sz-1];} #define adjustedvin(A) for (ll i = 1, sz = A.size(); i < sz; i++){cin >> A[i];} #define adjustedvout(A) for(ll i = 1, sz = A.size(); i < sz; i++){cout << A[i] << " \n"[i == sz-1];} #define vout2d(A,H,W) for (ll i = 0; i < H; i++){for (ll j = 0; j < W; j++){cout << A[i][j] << " \n"[j==W-1];}} #define encode(i,j) ((i)<<32)+j #define decode(v,w) (w ? (v)%4294967296 : (v)>>32) vector pow2ll{1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192,16384,32768,65536,131072,262144,524288,1048576,2097152,4194304,8388608,16777216,33554432,67108864,134217728,268435456,536870912,1073741824,2147483648,4294967296}; vector pow10ll{1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000,10000000000,100000000000,1000000000000,10000000000000,100000000000000,1000000000000000,10000000000000000,100000000000000000,1000000000000000000}; vector di{0,1,0,-1}; vector dj{1,0,-1,0}; /// @brief a^bをmで割った余りを返す。bに関して対数時間で計算できる。 /// @param a /// @param b /// @param m /// @return a^b%m ll modpow(ll a, ll b, ll m){ ll t = a; ll ans = 1; while (b > 0){ if (b%2){ ans = (ans*t)%m; } b /= 2; t = (t*t)%m; } return ans; } void dfs(vector> &E, vector &D, ll now){ for (auto v : E[now]){ if (D[v] != -1){ continue; } D[v] = D[now]+1; dfs(E,D,v); } } int main(){ ios::sync_with_stdio(false); std::cin.tie(nullptr); ll N; cin >> N; vector> E(N+1); for (ll i = 0; i < N-1; i++){ ll u,v; cin >> u >> v; E[u].push_back(v); E[v].push_back(u); } vector D(N+1,-1); vector D2(N+1,-1); vector D3(N+1,-1); D[1] = 0; dfs(E,D,1); ll dist_max_v = -1; ll d_max = -1; for (ll i = 1; i <= N; i++){ if (D[i] >= d_max){ d_max = D[i]; dist_max_v = i; } } D2[dist_max_v] = 0; dfs(E,D2,dist_max_v); ll dist_max_v2 = -1; d_max = -1; for (ll i = 1; i <= N; i++){ if (D2[i] >= d_max){ d_max = D2[i]; dist_max_v2 = i; } } D3[dist_max_v2] = 0; dfs(E,D3,dist_max_v2); ll diameter = D2[dist_max_v2]; vector> ans; for (ll i = 1; i <= N; i++){ if (i == dist_max_v || i == dist_max_v2){continue;} ll l = D2[i] + D3[i] - diameter; l /= 2; ll k = D3[i]-l; ll m = D2[i]-l; ll answer = modpow(2,N+2,MOD) - modpow(2,N-k-l-m,MOD)*((2*(modpow(2,k,MOD) + modpow(2,l,MOD) + modpow(2,m,MOD))-3)%MOD); answer %= MOD; answer += MOD; answer %= MOD; vector temp{k+l+m, answer}; ans.push_back(temp); } sort(vall(ans)); cout << ans.back().back() << "\n"; }