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| #include <bits/stdc++.h> #include <cstdio> #define all(vec) vec.begin(),vec.end() #define pb push_back #define EB emplace_back #define EM emplace #define FI first #define SE second #define pct __builtin_popcountll #define ctz __builtin_ctzll #define SZ(a) ((long long) a.size()) #define FOR(i, a, b) for (long long i = (a); i <= (b); ++i) #define ROF(i, a, b) for (long long i = (a); i >= (b); --i) #define debug(var) cerr << #var <<":"<<var<<"\n"; #define cend cerr<<"\n-----------\n" #define lson(var) (var<<1) #define rson(var) (var<<1|1) #define fsp(x) fixed<<setprecision(x) using namespace std; #ifdef LOCAL template<typename T> void _print(T x) { cerr << x; } template<typename T> void _print(vector<T> v) { cerr << "[ "; for (T i : v) _print(i), cerr << " "; cerr << "]"; } template<typename T> void _print(set<T> s) { cerr << "{ "; for (T i : s) _print(i), cerr << " "; cerr << "}"; } template<typename T, typename U> void _print(pair<T, U> p) { cerr << "{"; _print(p.first); cerr << ", "; _print(p.second); cerr << "}"; } template<typename T, typename U> void _print(map<T, U> m) { cerr << "{ "; for (auto &p : m) _print(p), cerr << " "; cerr << "}"; } #endif
using ll = __int128;using ull = unsigned long long; using DB=double;using LD=long double; using i128 = __int128; using pdd = pair<DB,DB>;using plb = pair<ll,bool>; using pll = pair<ll,ll>;using vll=vector<ll>;using vb=vector<bool>; using tll = tuple<ll,ll,ll>;using vii=vector<int>; using vpll = vector<pll>;using vtll = vector<tll>; using vdb = vector<DB>;using vc=vector<char>; using arr3 = array<ll,3> ;using arr2 = array<ll,2>; using CD=complex<double>; static constexpr ll MAXN=(ll)1e6+10,INF=(ll)1e17+3; static constexpr ll mod=(ll)1e9+7; static constexpr double eps=1e-8;const double pi=acos(-1.0); i128 N,M,Q,X,K,T,lT,W;
inline void __(); namespace QuickRead { char buf[1 << 21], *p1 = buf, *p2 = buf; inline int getc() { return p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, 1 << 21, stdin), p1 == p2) ? EOF : *p1++; } template <typename T> void Cin(T &a) { T ans = 0; bool f = 0; char c = getc(); for (; c < '0' || c > '9'; c = getc()) { if (c == '-') f = 1; } for (; c >= '0' && c <= '9'; c = getc()) { ans = ans * 10 + c - '0'; } a = f ? -ans : ans; } template <typename T, typename... Args> void Cin(T &a, Args &...args) { Cin(a), Cin(args...); } template <typename T> void write(T x) { if (x < 0) putchar('-'), x = -x; if (x > 9) write(x / 10); putchar(x % 10 + '0'); } }
using namespace QuickRead; signed main() { ios::sync_with_stdio(false); cin.tie(0);cout.tie(0); Cin(lT); while(lT--) __(); return 0; }
i128 ans=0;
void calres(i128 n,i128 obj,i128 step,i128 num){ i128 sum=(N+1)*N/2*num; i128 fn=N-n,fob=N-(obj+step); i128 sumsq=num*(num-1)*(2*num-1)/6; i128 minus=fn*fn*num+sumsq*step*step+2*fn*(num-1+0)*num/2*step; minus+=(fn+fob)*num/2; minus/=2; ans+=sum-minus; }
template<typename T> T chu(T x,T y) { if ((x ^ y) < 0) return x / y; if (x % y == 0) return x / y; return x / y + 1; }
inline void __(){ Cin(N,W); i128 n=N; ans=0; while(true){ if(n<W) break; i128 step=n/W; i128 obj=W*(n/W)-1; ll num=chu((n-obj),step); obj=n-step*num; calres(n, obj,n/W,num); n=obj; } ans+=(1+N)*N/2-(i128)(N-n+1)*(N-n)/2; write(ans);putchar('\n'); }
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