#ifdef ssu1 #define _GLIBCXX_DEBUG #endif #undef NDEBUG #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define fore(i, l, r) for(int i = (l); i < (r); ++i) #define forn(i, n) fore(i, 0, n) #define fori(i, l, r) fore(i, l, (r) + 1) #define sz(v) int((v).size()) #define all(v) (v).begin(), (v).end() #define pb push_back #define mp make_pair #define X first #define Y second #if ( _WIN32 || __WIN32__ ) #define LLD "%I64d" #else #define LLD "%lld" #endif typedef long long li; typedef long double ld; typedef pair pt; template T abs(T a) { return a < 0 ? -a : a; } template T sqr(T a) { return a*a; } const int INF = (int)1e9; const ld EPS = 1e-12; const ld PI = 3.1415926535897932384626433832795; /* This is just to check correctness of input */ void ensure(bool value){ if(!value){ fprintf(stderr, "Assertion failed"); throw; } } void ensure(bool value, string message){ if(!value){ fprintf(stderr, "Assertion failed. Message = %s", message.c_str()); throw; } } int readInt(int l, int r){ int x; if(scanf("%d", &x) != 1){ fprintf(stderr, "Expected int in range [%d, %d], but haven't found!", l, r); throw; } if(!(l <= x && x <= r)){ fprintf(stderr, "Expected int in range [%d, %d], but found %d!", l, r, x); throw; } return x; } int readInt(int l, int r, string name){ int x; if(scanf("%d", &x) != 1){ fprintf(stderr, "Expected int %s in range [%d, %d], but haven't found!", name.c_str(), l, r); throw; } if(!(l <= x && x <= r)){ fprintf(stderr, "Expected int %s in range [%d, %d], but found %d!", name.c_str(), l, r, x); throw; } return x; } li readLong(li l, li r){ li x; if(scanf(LLD, &x) != 1){ fprintf(stderr, "Expected long long in range ["LLD", "LLD"], but haven't found!", l, r); throw; } if(!(l <= x && x <= r)){ fprintf(stderr, "Expected long long in range ["LLD", "LLD"], but found "LLD"!", l, r, x); throw; } return x; } li readLong(li l, li r, string name){ li x; if(scanf(LLD, &x) != 1){ fprintf(stderr, "Expected long long %s in range ["LLD", "LLD"], but haven't found!", name.c_str(), l, r); throw; } if(!(l <= x && x <= r)){ fprintf(stderr, "Expected long long %s in range ["LLD", "LLD"], but found "LLD"!", name.c_str(), l, r, x); throw; } return x; } const ld __EPS__ = 1e-15; ld readDouble(double l, double r){ double x; if(scanf("%lf", &x) != 1){ fprintf(stderr, "Expected double in range [%lf, %lf], but haven't found!", l, r); throw; } if(!(l <= x + __EPS__ && x <= r + __EPS__)){ fprintf(stderr, "Expected double in range [%lf, %lf], but found %lf!", l, r, x); throw; } return x; } ld readDouble(double l, double r, string name){ double x; if(scanf("%lf", &x) != 1){ fprintf(stderr, "Expected double %s in range [%lf, %lf], but haven't found!", name.c_str(), l, r); throw; } if(!(l <= x + __EPS__ && x <= r + __EPS__)){ fprintf(stderr, "Expected double %s in range [%lf, %lf], but found %lf!", name.c_str(), l, r, x); throw; } return x; } const int __MAXBUF__ = (int)1e7; char __buf__[__MAXBUF__]; string readString(char lfc, char rgc, int lfn, int rgn){ ensure(scanf(" %s ", __buf__) == 1, "Expected string, haven't found"); string ans = __buf__; ensure(lfn <= sz(ans) && sz(ans) <= rgn, "String have incorrect length"); forn(i, sz(ans)) ensure(lfc <= ans[i] && ans[i] <= rgc, "String contains incorrect characters"); return ans; } string readString(string pat, int lfn, int rgn){ ensure(scanf(" %s ", __buf__) == 1, "Expected string, haven't found"); string ans = __buf__; ensure(lfn <= sz(ans) && sz(ans) <= rgn, "String have incorrect length"); forn(i, sz(ans)) ensure(find(all(pat), ans[i]) != pat.end(), "String contains incorrect characters"); return ans; } string readString(char lfc, char rgc, int lfn, int rgn, string name){ ensure(scanf(" %s ", __buf__) == 1, "Expected string " + name + ", haven't found"); string ans = __buf__; ensure(lfn <= sz(ans) && sz(ans) <= rgn, "String " + name + " have incorrect length"); forn(i, sz(ans)) ensure(lfc <= ans[i] && ans[i] <= rgc, "String " + name + " contains incorrect characters"); return ans; } string readString(string pat, int lfn, int rgn, string name){ ensure(scanf(" %s ", __buf__) == 1, "Expected string " + name + ", haven't found"); string ans = __buf__; ensure(lfn <= sz(ans) && sz(ans) <= rgn, "String " + name + " have incorrect length"); forn(i, sz(ans)) ensure(find(all(pat), ans[i]) != pat.end(), "String " + name + " contains incorrect characters"); return ans; } string readLine(char lfc, char rgc, int lfn, int rgn){ ensure(gets(__buf__) != NULL, "Line expected, haven't found"); string ans = __buf__; ensure(lfn <= sz(ans) && sz(ans) <= rgn, "Line have incorrect length"); forn(i, sz(ans)) ensure(lfc <= ans[i] && ans[i] <= rgc, "Line contains incorrect characters"); return ans; } string readLine(string pat, int lfn, int rgn){ ensure(gets(__buf__) != NULL, "Line expected, haven't found"); string ans = __buf__; ensure(lfn <= sz(ans) && sz(ans) <= rgn, "Line have incorrect length"); forn(i, sz(ans)) ensure(find(all(pat), ans[i]) != pat.end(), "Line contains incorrect characters"); return ans; } string readLine(){ ensure(gets(__buf__) != NULL, "Line expected, haven't found"); string ans = __buf__; return ans; } char readChar(){ char c; ensure(scanf(" %c ", &c) == 1, "Non-whitespace character expected"); return c; } char readWChar(){ int ans = getchar(); ensure(ans != EOF, "Character expected"); return (char)ans; } int isint(ld v){ int x = v; for(int r = x - 1; r <= x + 1; r++){ if(abs(r - v) < EPS) return r; } return -1; } int main(){ #ifdef ssu1 assert(freopen("input.txt", "rt", stdin)); //assert(freopen("output.txt", "wt", stdout)); #endif int T = readInt(1, 1000); forn(Ti, T){ int B = readInt(1, 1000); int LS = readInt(B + 1, 1000); //dist(B, (cosa*L, sina*L)) ld maxv = sqrtl(sqr(LS) + sqr(B) + 0.0); ld minv = sqrtl(sqr(LS) - sqr(B) + 0.0); #ifdef ssu1 cerr << minv << " " << maxv << endl; #endif printf("%.10lf %.10lf\n", double(minv), double(maxv)); } return 0; }