ADDED SRM/TCO20-3A-U/1A-U.cpp Index: SRM/TCO20-3A-U/1A-U.cpp ================================================================== --- SRM/TCO20-3A-U/1A-U.cpp +++ SRM/TCO20-3A-U/1A-U.cpp @@ -0,0 +1,168 @@ +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using namespace std; +typedef long long LL; +typedef complex CMP; + +class RectangularObstacle { public: + long long countReachable(int x1_, int x2_, int y1_, int y2_, int s_) + { + LL x1 = x1_, x2 = x2_, y1 = y1_, y2 = y2_, s=s_; + LL answer = 0; + + answer += pyramid(s, s); + answer += 2 * s + 1; + answer += pyramid(s, min(s, y2)); + + for (LL y=y1; y<=y2 && y<=s; ++y) { + } + // [-s, -1] + // ==> 1 + 3 + 5 + .. + (2*s-1) + answer += (1LL + 2*s - 1) * s / 2; + + // [0, y1-1] + // ==> (2*s+1) + (2*s-1) + (2*s-3) + ... + LL ymax_case2 = min(y1 - 1, s); + answer += (2 * s + 1 + 2 * (s - ymax_case2) + 1) * (ymax_case2 + 1) / 2; + cerr << answer << endl; + if (s < y1) + return answer; + + // [y1, y2] + // ==> normal, but [x1,x2] subtracted + answer += case3(s - y1, x2, y2 - y1 + 1); + answer += case3(s - y1, -x1, y2 - y1 + 1); + cerr << answer << endl; + if (s <= y2) + return answer; + + // [y2+1, +s] : min + // ==> (0,0) -> (0, y1-1) -> (x2+1, y1-1) -> (x2+1, y) -> (x,y) + // ==> (0,0) -> (0, y1-1) -> (x1-1, y1-1) -> (x2+1, y) -> (x,y) + LL ls = -x1 + 1 + y2 + 1; // (x1-1, y2+1) + LL rs = x2 + 1 + y2 + 1; // (x2+1, y2+1) + answer += case4(x1 - 1, s - ls, x2 + 1, s - rs); + return answer; + } + + static LL pyramid(LL s, LL h) { + return (2 * s - 1 + 2 * s - 1 - 2 * h) * h / 2; + } + + static LL case3(LL len, LL obs, LL cnt) { + cerr << len << " " << obs << " " << cnt << endl; + cnt = max(0LL, min(cnt, len - obs)); + cerr << (len-obs + len-obs - (cnt - 1)) * cnt / 2 << endl; + return (len + len - (cnt - 1)) * cnt / 2; + } + + static LL case4(LL x1, LL s1, LL x2, LL s2) { + cerr << x1 << " " << s1 << " " << x2 << " " << s2 << endl; + LL answer = 0; + if (s1 >= 0) answer += simp(s1); + if (s2 >= 0) answer += simp(s2); + if (s1 >= 0 && s2 >= 0) { + LL xl = x2 - s2; + LL xr = x1 + s1; + if (xl <= xr) { + LL w = xr - xl + 1; + answer -= (w + w%2) * (w/2+1) / 2; + } + } + return answer; + } + + static LL simp(LL s) { + return (1 + 2 * s + 1) * (s + 1) / 2; + } +}; + +// BEGIN CUT HERE +#include +double start_time; string timer() + { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); } +template ostream& operator<<(ostream& os, const vector& v) + { os << "{ "; + for(typename vector::const_iterator it=v.begin(); it!=v.end(); ++it) + os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; } +void verify_case(const long long& Expected, const long long& Received) { + bool ok = (Expected == Received); + if(ok) cerr << "PASSED" << timer() << endl; else { cerr << "FAILED" << timer() << endl; + cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } } +#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock(); +#define END verify_case(_, RectangularObstacle().countReachable(x1, x2, y1, y2, s));} +int main(){ + +CASE(0) + int x1 = -5; + int x2 = 5; + int y1 = 3; + int y2 = 3; + int s = 2; + long long _ = 13LL; +END +CASE(1) + int x1 = -5; + int x2 = 5; + int y1 = 3; + int y2 = 3; + int s = 3; + long long _ = 24LL; +END +CASE(2) + int x1 = -4; + int x2 = 1; + int y1 = 1; + int y2 = 2; + int s = 6; + long long _ = 61LL; +END +CASE(3) + int x1 = 0; + int x2 = 0; + int y1 = 1; + int y2 = 1; + int s = 4; + long long _ = 38LL; +END +CASE(4) + int x1 = -100; + int x2 = 100; + int y1 = 42; + int y2 = 47; + int s = 0; + long long _ = 1LL; +END +CASE(5) + int x1 = -1000000; + int x2 = +1000000; + int y1 = +500000; + int y2 = +1000000; + int s = +1000000000; + long long _ = -1LL; +END +CASE(6) + int x1 = -0; + int x2 = +0; + int y1 = 1; + int y2 = 1; + int s = 2; + long long _ = -1LL; +END +} +// END CUT HERE