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#include <bits/stdc++.h> using namespace std; int rev(int x) { int y = 0; while (x) { y = y * 10 + x % 10; x /= 10; } return y; } int gcd(int x, int y) { if (y == 0) return x; return gcd(y, x % y); } pair<int, int> fx(int x) { int g = gcd(x, rev(x)); return make_pair(x / g, rev(x) / g); } pair<int, int> fy(int x) { int g = gcd(x, rev(x)); return make_pair(rev(x) / g, x / g); } map<pair<int, int>, int> mx; map<pair<int, int>, int> my; int main() { int maxx, maxy, w; scanf("%d %d %d", &maxx, &maxy, &w); mx.clear(); my.clear(); int ansx, ansy; ansx = ansy = -1; for (int y = 1; y <= maxy; y++) my[fy(y)]++; int total = 0; int y = maxy; for (int x = 1; x <= maxx; x++) { total += my[fx(x)]; mx[fx(x)]++; while (y > 1 && total >= w) { int add = mx[fy(y)]; if (total - add < w) break; my[fy(y)]--; total -= add; y--; } if (total >= w) { if (ansx == -1) { ansx = x; ansy = y; } else if (x * y < ansx * ansy) { ansx = x; ansy = y; } } } if (ansx == -1) printf("-1\n"); else printf("%d %d\n", ansx, ansy); return 0; }
#include <bits/stdc++.h> using namespace std; double mul = 1e9; long long n, m, w, ans, ansx, ansy; map<long long, long long> a, b; long long Rev(long long x) { long long res = 0; while (x) { res = res * 10 + x % 10; x /= 10; } return res; } signed main() { cin >> n >> m >> w; ans = n * m + 1; { long long i = 0, j = m, now = 0; for (long long o = 1; o <= m; ++o) { long long tmp = round(mul * Rev(o) / o); if (b.find(tmp) != b.end()) ++b[tmp]; else b[tmp] = 1; } while (i <= n && j >= 1) { if (now < w) { ++i; long long tmp = round(mul * i / Rev(i)); if (a.find(tmp) != a.end()) ++a[tmp]; else a[tmp] = 1; if (b.find(tmp) != b.end()) now += b[tmp]; } else { if (ans > i * j) { ans = i * j; ansx = i; ansy = j; } long long tmp = round(mul * Rev(j) / j); if (a.find(tmp) != a.end()) now -= a[tmp]; --b[tmp]; --j; } } } if (ans == n * m + 1) { puts("-1"); } else { cout << ansx << " " << ansy << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int totalCases, testNum; int rev[100001]; pair<int, int> aByRevA[100001]; map<int, int> pf[100001]; set<pair<int, int> > validwRank[100001]; map<pair<int, int>, vector<int> > mymap; int gcd(int a, int b) { if (b == 0) return a; return gcd(b, a % b); } int reverse(int n) { int ret = 0; while (n > 0) { ret = ret * 10 + (n % 10); n /= 10; } return ret; } void preprocess() { for (int i = 1; i <= 100000; i++) rev[i] = reverse(i); aByRevA[1] = make_pair(1, 1); mymap[make_pair(1, 1)].push_back(1); for (int a = 2; a <= 100000; a++) { int reva = rev[a]; int g = gcd(a, reva); pair<int, int> arg = make_pair(a / g, reva / g); aByRevA[a] = arg; mymap[arg].push_back(a); } } int mx, my, w; bool input() { scanf("%d", &mx); scanf("%d", &my); scanf("%d", &w); return true; } void solve() { long long bestx, besty; bestx = mx + 1; besty = my + 1; long long found = 0; long long x, y; pair<int, int> argx, argy; y = my; for (x = 1; x <= mx; x++) { argx = aByRevA[x]; argy = make_pair(argx.second, argx.first); int now = upper_bound(mymap[argy].begin(), mymap[argy].end(), y) - mymap[argy].begin(); found += now; while (found >= w) { if (x * y < bestx * besty) { bestx = x; besty = y; } argy = aByRevA[y]; argx = make_pair(argy.second, argy.first); now = upper_bound(mymap[argx].begin(), mymap[argx].end(), x) - mymap[argx].begin(); found -= now; y--; } } if (bestx > mx) { cout << -1 << endl; return; } cout << bestx << " " << besty << endl; } int main() { preprocess(); totalCases = 1; for (testNum = 1; testNum <= totalCases; testNum++) { if (!input()) break; solve(); } }
#include <bits/stdc++.h> using namespace std; int maxx, maxy, w, ansx = -1, ansy = -1, sum[100100], cnt[100100], rev[100100]; map<int, int> divs; int _rev(int x) { int res = 0; while (x) { res = 10 * res + x % 10; x /= 10; } return res; } void factor(int x, int c) { for (int i = 2; i * i <= x; i++) while (!(x % i)) { divs[i] += c; x /= i; } if (x > 1) divs[x] += c; } int get_sum(int y) { int res = 0; for (; y >= 0; y = (y & (y + 1)) - 1) res += sum[y]; return res; } void change(int y) { for (; y <= maxy; y |= y + 1) sum[y]++; } int main() { int start = time(0); cin >> maxx >> maxy >> w; for (int i = 1; i <= max(maxx, maxy); i++) rev[i] = _rev(i); for (int x = 1; x <= maxx; x++) { divs.clear(); int revx = rev[x]; factor(x, 1); factor(revx, -1); int p1 = 1, p2 = 1; for (map<int, int>::iterator it = divs.begin(); it != divs.end(); it++) { for (int i = 0; i < (*it).second; i++) p1 *= (*it).first; for (int i = 0; i > (*it).second; i--) p2 *= (*it).first; } for (int y = p2; y <= maxy; y += p2) { int revy = rev[y]; if (x * y == revx * revy) change(y); } int l = 0, r = maxy + 1, m; while (r - l > 1) { m = (l + r) >> 1; if (get_sum(m) < w) l = m; else r = m; } if (r <= maxy) { if (ansx == -1 || 1LL * ansx * ansy > 1LL * x * r) { ansx = x; ansy = r; } } } if (ansx == -1) cout << -1; else cout << ansx << " " << ansy; cerr << (time(0) - start); return 0; }
#include <bits/stdc++.h> using namespace std; int maxa, maxb, w; inline int rev(int x) { int nowans = 0; for (; x;) nowans = nowans * 10 + x % 10, x /= 10; return nowans; } int re[200010]; inline int gcd(int a, int b) { return (!b) ? a : gcd(b, a % b); } int dex[200010], tot = 1; struct node { int ed, before; } g[500010]; inline void add(int x, int y) { g[++tot].ed = y; g[tot].before = dex[x]; dex[x] = tot; } int H; map<pair<int, int>, int> mp; int father[200010]; int sum[200010]; int newx, newy; int main() { scanf("%d%d%d", &maxa, &maxb, &w); int N = max(maxa, maxb); for (int i = 1; i <= N; i++) re[i] = rev(i); for (int i = 1; i <= N; i++) { int x = i, y = re[i], k = gcd(x, y); x /= k, y /= k; if (mp.find(make_pair(x, y)) == mp.end()) mp[make_pair(x, y)] = ++H; k = mp[make_pair(x, y)]; add(k, i); if (mp.find(make_pair(y, x)) == mp.end()) mp[make_pair(y, x)] = ++H; k = mp[make_pair(y, x)]; father[i] = k; } long long ans = LLONG_MAX; int B = maxb + 1; int tmp = 0; for (int A = 1; A <= maxa; A++) { for (int j = dex[father[A]]; j; j = g[j].before) { int v = g[j].ed; if (v <= maxb && v <= B) { sum[v]++, tmp++; } } for (; tmp - sum[B] >= w; tmp -= sum[B], B--) ; if (tmp >= w) { if (ans >= 1ll * A * B) { ans = 1ll * A * B; newx = A, newy = B; } } } if (ans == LLONG_MAX) printf("-1\n"); else printf("%d %d\n", newx, newy); }
#include <bits/stdc++.h> const double EPS = 1e-9; const int INT_INF = 1 << 31 - 1; const long long I64_INF = 1ll << 63 - 1ll; const double PI = acos(-1.0); using namespace std; int maxx, maxy, w; int rev[100500]; int Rev(int a) { int res = 0; while (a) res = res * 10 + a % 10, a /= 10; return res; } map<pair<int, int>, int> m1; map<pair<int, int>, int> m2; int gcd(int a, int b) { return (b) ? gcd(b, a % b) : a; } void inc(map<pair<int, int>, int>& m, int a, int b) { int g = gcd(a, b); a /= g; b /= g; m[make_pair(a, b)]++; } void dec(map<pair<int, int>, int>& m, int a, int b) { int g = gcd(a, b); a /= g; b /= g; m[make_pair(a, b)]--; } int get(map<pair<int, int>, int>& m, int a, int b) { int g = gcd(a, b); a /= g; b /= g; return m[make_pair(a, b)]; } int X = -1, Y = -1; void upd(int x, int y, int W) { if (W < w || 1LL * x * y >= 1LL * X * Y && X != -1) return; X = x; Y = y; } int main() { cin >> maxx >> maxy >> w; for (int i = 1; i <= (int)1e5; i++) rev[i] = Rev(i); int x; int y = 0; int W = 0; for (x = 1; x <= maxx; x++) inc(m1, x, rev[x]); x--; while (x > 0) { while (W < w && y < maxy) { y++; inc(m2, rev[y], y); W += get(m1, rev[y], y); } upd(x, y, W); dec(m1, x, rev[x]); W -= get(m2, x, rev[x]); x--; } if (X == -1) puts("-1"); else printf("%d %d\n", X, Y); return 0; }
#include <bits/stdc++.h> using namespace std; struct dat { long long x, y; bool operator<(dat const &T) const { return x * T.y < y * T.x; } bool operator==(dat const &T) const { return x * T.y == y * T.x; } } T; int rev(int x) { int R = 0, t; while (x > 0) { t = x % 10; R = R * 10 + t; x /= 10; } return R; } dat a[100005]; map<dat, int> X, Y; int mx, my; int ret = -1, rex, rey, par, n, t, pt; int main() { scanf("%d%d%d", &mx, &my, &n); Y.clear(); for (int i = 1; i <= my; i++) { a[i].x = i; a[i].y = rev(i); Y[a[i]] = Y[a[i]] + 1; } X.clear(); par = 0; pt = my; for (int i = 1; i <= mx; i++) { T.x = rev(i); T.y = i; par += Y[T]; X[T] = X[T] + 1; if (par < n) continue; while (pt >= 1) { T.x = a[pt].x; T.y = a[pt].y; t = X[T]; if (par - t >= n) { par -= t; Y[a[pt]] = Y[a[pt]] - 1; pt--; } else break; } if (i * pt < ret || ret == -1) { ret = i * pt; rex = i; rey = pt; } } if (ret == -1) printf("-1\n"); else printf("%d %d\n", rex, rey); return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> record[100005], f[100005], g[100005]; map<long long, int> D; long long k, ans; double tmp; int a[25], s, i, rev, tp, j, p, sum, cnt, tot, A, B, C, r, x, y; inline int get(int k) { for (s = 0, cnt = 0; k; s = s * 10 + k % 10, k /= 10) ; return s; } int main() { for (i = 1; i <= 100000; i++) { rev = get(i); tmp = rev * 1. / i; k = (long long)(tmp * 1000000000ll); if (!(p = D[k])) p = D[k] = ++tot; record[p].push_back(i); tmp = i * 1. / rev; k = (long long)(tmp * 1000000000ll); if (!(p = D[k])) continue; for (j = 0; j < record[p].size(); j++) { tp = record[p][j]; g[tp].push_back(i); if (i != tp) g[i].push_back(tp); f[i].push_back(tp); if (i != tp) f[tp].push_back(i); } } scanf("%d%d%d", &A, &B, &C); r = B; sum = 0; ans = -1; for (i = 1; i <= A; i++) { for (j = 0; j < g[i].size(); j++) if (g[i][j] <= r) sum++; else break; while (sum >= C && r) { if (i * 1ll * r < ans || ans == -1) ans = i * 1ll * r, x = i, y = r; for (j = 0; j < f[r].size(); j++) if (f[r][j] <= i) sum--; else break; r--; } } if (ans == -1) puts("-1"); else printf("%d %d", x, y); return 0; }
#include <bits/stdc++.h> using namespace std; int ii, i, j, k, e, d, n, m, w, r1, r2, a[200200], o[200200], b[200200], c[200200], p[7]; map<pair<int, int>, int> mm; pair<int, int> cur; long long res, r, rz, cw; int gcd(int a, int b) { return (b == 0) ? a : gcd(b, a % b); } int main() { res = 200000; res *= res; rz = res; for (i = 1; i <= 100000; i++) { ii = i; for (j = 0; j < 6; j++) { p[j] = ii % 10; ii /= 10; } for (j = 0; j < 6; j++) ii = ii * 10 + p[j]; while (ii % 10 == 0) ii /= 10; d = gcd(i, ii); cur = make_pair(i / d, ii / d); a[i] = mm[cur]; if (a[i] == 0) mm[cur] = a[i] = ++e; cur = make_pair(ii / d, i / d); o[i] = mm[cur]; if (o[i] == 0) mm[cur] = o[i] = ++e; } scanf("%d%d%d", &n, &m, &w); r = m; for (j = 1; j <= m; j++) b[a[j]]++; for (i = 1; i <= n; i++) { c[o[i]]++; cw += b[o[i]]; for (; r > 1; r--) { if (cw - c[a[r]] < w) break; cw -= c[a[r]]; b[a[r]]--; } if (cw >= w && r * i < res) { res = r * i; r1 = i; r2 = r; } } if (res < rz) printf("%d %d\n", r1, r2); else puts("-1"); return 0; }
#include <bits/stdc++.h> using namespace std; int gcd(int a, int b) { int t; if (b < a) a ^= b ^= a ^= b; while (a) { t = b % a; b = a; a = t; } return b; } int reverse(int k) { while (k && k % 10 == 0) { k /= 10; } int t = 0; while (k) { t = t * 10 + k % 10; k /= 10; } return t; } map<pair<int, int>, int> mx, my; int W, X, Y; pair<int, int> p, q; int ansx, ansy; long long ans = 1000000000000000000LL; int main() { scanf("%d%d%d", &X, &Y, &W); for (int i = 1; i <= X; ++i) { int j = reverse(i); int g = gcd(i, j); p.first = i / g; p.second = j / g; mx[p]++; } int cur = 0; int x = X; for (int y = 1; y <= Y; ++y) { int j = reverse(y); int g = gcd(y, j); p.first = j / g; p.second = y / g; cur += mx[p]; my[p]++; if (y == 10) { } while (x > 0 && cur >= W) { if ((long long)((long long)x * (long long)y) < ans) { ans = (long long)((long long)x * (long long)y); ansx = x; ansy = y; } int j = reverse(x); int g = gcd(x, j); p.first = x / g; p.second = j / g; cur -= my[p]; mx[p]--; --x; } } if (ans == 1000000000000000000LL) { puts("-1"); } else { printf("%d %d\n", ansx, ansy); } return 0; }
#include <bits/stdc++.h> using namespace std; int a[100008]; int p[7]; multimap<double, int>::iterator it[100008]; void get(int m) { int q = 0; int k = m; while (m) { int cc = m % 10; m /= 10; if (cc == 0 && q == 0) continue; else p[++q] = cc; } for (int i = 1; i <= q; i++) { a[k] = a[k] * 10 + p[i]; } } int main() { int aa, bb, w, flag = 0; scanf("%d%d%d", &aa, &bb, &w); if (aa > bb) { flag = 1; swap(aa, bb); } fill(a, a + bb + 2, 0); for (int i = 1; i <= bb; i++) get(i); multimap<double, int> mm; multimap<double, int> mm2; for (int i = 1; i <= bb; i++) { it[i] = mm.insert(make_pair((double)(i) / a[i], i)); } int sum = 0; int x, y; int x1, y1; long long ans = (long long)aa * bb + 1; for (int i = 1; i <= aa; i++) { double k = (double)(a[i]) / i; int cnt = mm.count(k); sum += cnt; mm2.insert(make_pair(k, i)); if (sum >= w) { x = i; y = bb; ans = x * y; x1 = x; y1 = y; while (1) { if (sum >= w) { if (y > 1) { double kk = (double)(y) / a[y]; int cnt = mm2.count(kk); sum -= cnt; mm.erase(it[y]); y--; if (sum >= w) { if (x * y < ans) { x1 = x; y1 = y; ans = x1 * y1; } } } else break; } else { if (x < aa) { x++; double kk = double(a[x]) / (x); int cnt = mm.count(kk); sum += cnt; mm2.insert(make_pair(kk, x)); if (sum >= w) { if (x * y < ans) { x1 = x; y1 = y; ans = x * y; } } } else break; } } break; } } if (ans == ((long long)aa * bb + 1)) cout << "-1" << endl; else if (flag) { cout << y1 << " " << x1 << endl; } else cout << x1 << " " << y1 << endl; return 0; }
#include <bits/stdc++.h> void doubleIntSort(double d[], int m[], int s) { int i, j, r; double k1, k2, t; if (s <= 1) return; k1 = (d[0] + d[s - 1]) / 2.0; k2 = k1 + 1e-10; k1 -= 1e-10; i = -1; j = s; for (;;) { while (d[++i] < k1) ; while (d[--j] > k2) ; if (i >= j) break; t = d[i]; d[i] = d[j]; d[j] = t; r = m[i]; m[i] = m[j]; m[j] = r; } doubleIntSort(d, m, i); doubleIntSort(d + j + 1, m + j + 1, s - j - 1); } typedef struct struct_vector_int { int size, mem; int *d; } intVector; intVector intVectorNull() { intVector v; v.size = v.mem = 0; return v; } void intVectorMemoryExpand(intVector *v) { int i, *t, m; m = v->mem * 2; if (m < 5) m = 5; t = (int *)malloc(m * sizeof(int)); for (i = 0; i < v->size; i++) t[i] = v->d[i]; if (v->mem) free(v->d); v->d = t; v->mem = m; } void intVectorPushBack(intVector *v, int add) { if (v->mem == v->size) intVectorMemoryExpand(v); v->d[(v->size)++] = add; } int rev(int n) { int i, res = 0; char buf[100]; sprintf(buf, "%d", n); for (i = 0;; i++) if (buf[i] < ' ') break; while (i--) res = res * 10 + buf[i] - '0'; return res; } int REV[100001]; double rat[100001]; int ind[100001]; intVector edge[100001]; int main() { int i, j, k, l, m, n; int useX[100001]; int x, y; int st, ed, add = 0; long long resX, resY, nowX, nowY, now; for (i = 0; i < 100001; i++) REV[i] = rev(i); for (i = 1; i < 100001; i++) rat[i] = REV[i] / (double)i, ind[i] = i; doubleIntSort(rat + 1, ind + 1, 100001 - 1); for (i = 0; i < 100001; i++) edge[i] = intVectorNull(); ed = 100001 - 1; for (st = 1; st < 100001; st++) { while (ed >= 1 && rat[st] * rat[ed] > 1 + 1e-10) ed--; if (ed == 0) break; for (i = ed; i >= 1; i--) { if (rat[st] * rat[i] < 1 - 1e-10) break; intVectorPushBack(edge + ind[st], ind[i]); add++; } } while (scanf("%d%d%d", &x, &y, &n) == 3) { resX = 100000000; resY = 100000000; for (i = 0; i < x + 1; i++) useX[i] = 0; nowX = x; now = 0; for (nowY = 1; nowY < y + 1; nowY++) { for (i = 0; i < edge[nowY].size; i++) if (1 <= edge[nowY].d[i] && edge[nowY].d[i] <= nowX) now++, useX[edge[nowY].d[i]]++; while (now >= n) { if (resX * resY > nowX * nowY) resX = nowX, resY = nowY; now -= useX[nowX]; nowX--; } } if (resX > x) puts("-1"); else printf("%d %d\n", (int)resX, (int)resY); } return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1e9; const int mod = 1e9 + 7; const int maxn = 1e5 + 100; map<double, long long> mp1, mp2; long long rev(long long x) { long long ans = 0; while (x) { ans = ans * 10 + x % 10; x /= 10; } return ans; } int main() { long long w, maxy, maxx, cnt = 0; scanf("%lld%lld%lld", &maxx, &maxy, &w); for (long long i = 1; i <= maxx; i++) mp1[1.0 * i / rev(i)]++; for (long long i = 1; i <= maxy; i++) cnt += mp1[1.0 * rev(i) / i]; if (cnt < w) { cout << -1 << endl; return 0; } long long tx = maxx, ty = 1, ax = maxx, ay = maxy; cnt = mp1[1.0]; mp2[1.0]++; while (tx >= 1 && ty <= maxy) { if (cnt >= w) { if (tx * ty < ax * ay) ax = tx, ay = ty; double tmp = 1.0 * tx / rev(tx); cnt -= mp2[tmp]; mp1[tmp]--; tx--; } else { ty++; double tmp = 1.0 * rev(ty) / ty; cnt += mp1[tmp]; mp2[tmp]++; } } printf("%lld %lld\n", ax, ay); return 0; }
#include <bits/stdc++.h> using namespace std; long long maxx, maxy, w, sum; map<long double, long long> mp, Mp; inline long long rev(long long x) { long long sum = 0; while (x) { sum = sum * 10 + x % 10; x /= 10; } return sum; } int main() { cin >> maxx >> maxy >> w; for (long long i = 1; i <= maxx; i++) mp[i * 1.0 / rev(i)]++; for (long long i = 1; i <= maxy; i++) sum += mp[rev(i) * 1.0 / i]; if (sum < w) { printf("-1\n"); return 0; } long long ansx = maxx, ansy = maxy, X = maxx, Y = 1; sum = mp[1]; Mp[1]++; while (X >= 1 && Y <= maxy) { if (sum >= w) { if (X * Y < ansx * ansy) { ansx = X; ansy = Y; } long double x = X * 1.0 / rev(X); sum -= Mp[x]; mp[x]--; X--; } else { Y++; long double x = rev(Y) * 1.0 / Y; sum += mp[x]; Mp[x]++; } } printf("%lld %lld\n", ansx, ansy); return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; pair<int, int> temp[100005]; int gcd(int a, int b) { int c; if (a < b) swap(a, b); while (b > 0) { c = b; b = a % b; a = c; } return a; } map<pair<long long, long long>, int> M1, M2; int main() { int x, y; long long w; scanf("%d %d %lld", &x, &y, &w); pair<long long, long long> m = make_pair(-1, -1); long long l = 1e15; for (int i = 1; i < 100005; ++i) { int p = 0, q = i; while (q > 0) { p = p * 10 + q % 10; q /= 10; } q = gcd(i, p); temp[i] = make_pair(i / q, p / q); } for (int i = 1; i < y + 1; ++i) { M1[temp[i]]++; } long long h = y; long long ans = 0; for (int i = 1; i < x + 1; ++i) { pair<int, int> c = make_pair(temp[i].second, temp[i].first); ans += M1[c]; M2[c]++; while (ans >= w && h > 0) { if ((h * i) < l) { l = h * i; m = make_pair(i, h); } M1[temp[h]]--; ans -= M2[temp[h]]; h--; } if (h == 0) break; } if (l == 1e15) printf("-1\n"); else printf("%lld %lld\n", m.first, m.second); return 0; }
#include <bits/stdc++.h> using namespace std; int ma, mb, target_x; vector<int> ca[100001]; vector<int> cb[100001]; int rev(int x) { int res = 0; while (x) { res = res * 10 + x % 10; x /= 10; } return res; } bool is_palin(int x) { return (x == rev(x)); } int gcd(int a, int b) { return (b == 0) ? a : gcd(b, a % b); } void gen1(int x) { int rx = rev(x); int g = gcd(x, rx); int ix = x; x /= g; rx /= g; int ry, y; for (y = rx; y <= mb; y += rx) { ry = rev(y); if ((long long)x * y == (long long)rx * ry) { ca[ix].push_back(y); cb[y].push_back(ix); } } } void gen_all_pairs() { int i; for (i = 11; i <= ma; i++) if (i % 10 != 0 && !is_palin(i)) gen1(i); } int cura, curb; int pa, pb; long long npal, npair, n_x; void inc_b() { curb++; if (is_palin(curb)) pb++; } void inc_a() { cura++; if (is_palin(cura)) pa++; npal = pa * pb; int i; for (i = 0; i < ca[cura].size(); i++) if (ca[cura][i] <= curb) npair++; n_x = npal + npair; } void dec_b() { if (is_palin(curb)) pb--; npal = pa * pb; int i; for (i = 0; i < cb[curb].size(); i++) if (cb[curb][i] <= cura) npair--; n_x = npal + npair; curb--; } int main() { scanf("%d %d %d", &ma, &mb, &target_x); gen_all_pairs(); cura = curb = 0; pa = pb = 0; npal = npair = n_x = 0; int ra, rb; while (curb < mb) inc_b(); long long res = 1000000000000LL; while (cura < ma) { inc_a(); while (n_x >= target_x && curb >= 1) { if ((long long)cura * curb < res) { res = (long long)cura * curb; ra = cura; rb = curb; } dec_b(); } if (curb == 0) break; } if (res == 1000000000000LL) printf("-1\n"); else printf("%d %d\n", ra, rb); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1000 * 100 + 100; map<double, set<long long> > mp; long long n, maxx, maxy, x, y, w, rev[maxn], d[maxn], cnt, ansx, ansy, l = (1ll << 50); void check(long long x, long long y) { if (x * y < l) { l = x * y; ansx = x; ansy = y; } } int main() { ios::sync_with_stdio(false); cin >> maxx >> maxy >> w; for (int i = 1; i < maxn; i++) { int x = i, y = 0; while (x) { y *= 10; y += x % 10; x /= 10; } double z = double(i) / double(y); rev[i] = y; mp[z].insert(i); d[i] = mp[z].size(); } y = maxy; for (x = 1; x <= maxx; x++) { double z = double(rev[x]) / double(x); if (mp[z].size()) { set<long long>::iterator it = mp[z].upper_bound(y); if (it == mp[z].end()) cnt += mp[z].size(); else { int c = *mp[z].upper_bound(y); cnt += d[c] - 1; } } if (cnt < w) continue; while (cnt >= w) { check(x, y); double z = double(rev[y]) / double(y); if (mp[z].size()) { set<long long>::iterator it = mp[z].upper_bound(x); if (it == mp[z].end()) cnt -= mp[z].size(); else { int c = *mp[z].upper_bound(x); cnt -= (d[c] - 1); } } y--; } } if (!ansx && !ansy) { cout << -1 << endl; return 0; } cout << ansx << " " << ansy << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 203600; char s[2000]; int rev(int first) { int n; sprintf(s, "%d%n", first, &n); reverse(s, s + n); sscanf(s, "%d", &first); return first; } int gcd(int first, int second) { return first ? gcd(second % first, first) : second; } map<int, int> MP; pair<int, int> frac[N]; pair<int, int> recp[N]; map<pair<int, int>, int> cntx; map<pair<int, int>, int> cnty; int main() { for (int i = (1); i <= (int)(100000); i++) { int j = rev(i); int g = gcd(i, j); frac[i] = pair<int, int>(i / g, j / g); recp[i] = pair<int, int>(j / g, i / g); } int mx, my, w; scanf("%d%d%d", &mx, &my, &w); int cx, cy = 1; int ax, ay; long long tot = 1LL << 40; for (int first = (1); first <= (int)(mx); first++) cntx[recp[first]]++; long long cur = 0; for (cx = mx; cx; cx--) { while (cy <= my && cur < w) { cur += cntx[frac[cy]]; cnty[frac[cy]]++; cy++; } if (cur >= w && (long long)cx * (cy - 1) < tot) { tot = (long long)cx * (cy - 1); ax = cx; ay = cy - 1; } cur -= cnty[recp[cx]]; cntx[recp[cx]]--; } if (tot == (1LL << 40)) puts("-1"); else printf("%d %d\n", ax, ay); return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:268435456") using namespace std; template <typename T> inline T abs(T a) { return ((a < 0) ? -a : a); } template <typename T> inline T sqr(T a) { return a * a; } template <class T> T gcd(T a, T b) { return a ? gcd(b % a, a) : b; } template <class T> T lcm(T a, T b) { return a / gcd(a, b) * b; } template <class T> T sign(T a) { return a > 0 ? 1 : (a < 0 ? -1 : 0); } const int dx[] = {-1, 0, 1, 0}; const int dy[] = {0, 1, 0, -1}; const int dxK[] = {-1, -1, 0, 1, 1, 1, 0, -1}; const int dyK[] = {0, 1, 1, 1, 0, -1, -1, -1}; const int dxKn[] = {-2, -1, 1, 2, 2, 1, -1, -2}; const int dyKn[] = {1, 2, 2, 1, -1, -2, -2, -1}; const int N = int(1e5) + 9; const int M = int(3e3) + 9; const int LOGN = 22; const int SQN = 350; const int MOD = int(1e9) + 7; const int INF = 1e9 + 100; const long long INF64 = 2e18; const long double PI = 3.1415926535897932384626433832795; const long double EPS = 1e-9; int n, m, k; map<pair<int, int>, int> cnt; map<pair<int, int>, int> cur; int rev[N]; int getrev(int x) { int res = 0; while (x) { res = res * 10 + (x % 10); x /= 10; } return res; } pair<int, int> norm(pair<int, int> a) { int g = gcd(a.first, a.second); a.first /= g, a.second /= g; return a; } void solve() { for (int i = 0; i < (int)(N); ++i) rev[i] = getrev(i); cin >> n >> m >> k; long long x = INF, y = INF; for (int i = 1; i < (int)(n + 1); ++i) cnt[norm(make_pair(i, rev[i]))]++; long long res = 0; int i = n; for (int j = 1; j < (int)(m + 1); ++j) { res += cnt[norm(make_pair(rev[j], j))]; ++cur[norm(make_pair(rev[j], j))]; while (i > 1 && res - cur[norm(make_pair(i, rev[i]))] >= k) res -= cur[norm(make_pair(i, rev[i]))], --cnt[norm(make_pair(i, rev[i]))], --i; if (res >= k && x * y > i * 1LL * j) x = i, y = j; } if (x == INF) cout << -1; else cout << x << ' ' << y; } int main() { srand(time(NULL)); cout << setprecision(10) << fixed; cerr << setprecision(10) << fixed; solve(); return 0; }
#include <bits/stdc++.h> using namespace std; map<pair<int, int>, int> hash1, hash2; int gcd(int x, int y) { if (x == 0) return y; return gcd(y % x, x); } int rev(int x) { int sum = 0; while (x) { sum *= 10; sum += x % 10; x /= 10; } return sum; } int main() { int x, y, w; cin >> x >> y >> w; for (int i = 1; i <= x; ++i) { int re = rev(i); int t = gcd(i, re); ++hash1[make_pair(i / t, re / t)]; } int j = 0; long long bestx = x, besty = y, e = 0; long long sum = 0; for (; x;) { while (j < y && sum < w) { int l = rev(++j), jj; jj = gcd(j, l); pair<int, int> tmp = make_pair(l / jj, j / jj); sum += hash1[tmp]; ++hash2[tmp]; } if (sum >= w) { if (besty * bestx >= (long long)j * x) { bestx = x; besty = j; e = 1; } } int re = rev(x); int st = gcd(re, x); pair<int, int> tmp = make_pair(x / st, re / st); sum -= hash2[tmp]; --hash1[tmp]; --x; } if (e) cout << bestx << ' ' << besty << endl; else puts("-1"); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAX_N = 100 * 1000; const long long INF = (1LL << 30) * (1LL << 30); map<double, long long> M1; map<double, long long> M2; long long Mx, My; long long W; long long rev(long long x) { long long ret = 0; while (x) { ret *= 10; ret += x % 10; x /= 10; } return ret; } int main() { cin >> Mx >> My >> W; for (long long i = 1; i <= Mx; i++) M1[(double)i / (double)rev(i)]++; long long Ansa = -1; long long Ansb = -1; long long X = Mx; long long Y = 0; long long NOW = 0; while (X >= 1 && Y <= My) { if (NOW < W) { Y++; double TEMP = (double)rev(Y) / (double)Y; M2[TEMP]++; NOW += M1[TEMP]; } else { if (Ansa == -1 || Ansa * Ansb > X * Y) Ansa = X, Ansb = Y; double TEMP = (double)X / (double)rev(X); NOW -= M2[TEMP]; M1[TEMP]--; X--; } } if (Ansa == -1) cout << -1 << endl; else cout << Ansa << " " << Ansb << endl; }
#include <bits/stdc++.h> using namespace std; template <class T> T sqr(const T& t) { return t * t; } template <class T> T abs(const T& t) { return ((t > 0) ? (t) : (-t)); } void initialize() { freopen("_.in", "r", stdin); freopen("_.out", "w", stdout); } struct Point { int x; int y; Point(int x_, int y_) : x(x_), y(y_) {} }; map<pair<int, int>, vector<int> > fractions; int rev(int a) { int res = 0; while (a > 0) { res = res * 10 + (a % 10); a /= 10; } return res; } int nod(int a, int b) { if (a == 0) return b; if (b == 0) return a; return nod(b, a % b); } pair<int, int> fraction(int num) { int a = num; int b = rev(a); int d = nod(a, b); a /= d; b /= d; return pair<int, int>(a, b); } int main() { int maxX, maxY, w; cin >> maxX >> maxY >> w; for (int i = 1; i <= max(maxX, maxY); ++i) { fractions[fraction(i)].push_back(i); } map<pair<int, int>, vector<int> >::iterator it = fractions.begin(), jt = fractions.end(); for (; it != jt; ++it) { sort(it->second.begin(), it->second.end()); } const long long INF = (long long)maxX * (long long)maxY + 1; long long bestProduct = INF; int rx = -1, ry = -1; int res = 0; int y = maxY; for (int x = 1; x <= maxX; ++x) { pair<int, int> f = fraction(x); swap(f.first, f.second); const vector<int>& v = fractions[f]; res += upper_bound(v.begin(), v.end(), y) - v.begin(); do { pair<int, int> fy = fraction(y); swap(fy.first, fy.second); const vector<int>& vy = fractions[fy]; res -= upper_bound(vy.begin(), vy.end(), x) - vy.begin(); y -= 1; } while (res >= w && y > 0); y += 1; pair<int, int> fy = fraction(y); swap(fy.first, fy.second); const vector<int>& vy = fractions[fy]; res += upper_bound(vy.begin(), vy.end(), x) - vy.begin(); if (res >= w) { long long product = (long long)x * (long long)y; if (product < bestProduct) { bestProduct = product; rx = x; ry = y; } } } if (bestProduct < INF) { cout << rx << " " << ry << endl; } else { cout << -1 << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int maxx, maxy, w, l, r, ll, rr; map<double, int> a, b; long long min(long long l, long long r) { if (l < r) return l; else return r; } int rev(int k) { int sum = 0; while (k > 0) { int t = k % 10; k = k / 10; sum = sum * 10 + t; } return sum; } int main() { scanf("%d%d%d", &maxx, &maxy, &w); for (int i = 1; i <= maxx; i++) { double sum = (double)i / rev(i); a[sum] = a[sum] + 1; } l = maxx; r = 0; int s = 0; long long ans = 1e15; while ((l >= 1) && (r <= maxy)) { if ((s < w) && (r < maxy)) { r = r + 1; double sum = (double)rev(r) / r; s = s + a[sum]; b[sum] = b[sum] + 1; } else if (s >= w) { if (ans > (long long)l * r) { ans = (long long)l * r; ll = l; rr = r; } double sum = (double)l / rev(l); s = s - b[sum]; a[sum] = a[sum] - 1; l = l - 1; } else break; } if (ans == 1e15) printf("-1\n"); else printf("%d %d\n", ll, rr); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> T abs(T a) { return a < 0 ? -a : a; } template <typename T> T sqr(T a) { return a * a; } const int INF = (int)1e9; const long double EPS = 1e-9; const long double PI = 3.1415926535897932384626433832795; int gcd(int a, int b) { return (a == 0) ? b : gcd(b % a, a); } struct rat { int a, b; rat(int ca, int cb) : a(ca), b(cb) { int g = gcd(a, b); a /= g; b /= g; } }; bool operator<(const rat& a, const rat& b) { return a.a * 1ll * b.b < b.a * 1ll * a.b; } int rev[100500]; inline int getRev(int a) { if (rev[a] == -1) { int b = a; int res = 0; do { res = 10 * res + (b % 10); b /= 10; } while (b > 0); rev[a] = res; } return rev[a]; } int maxX, maxY, w; map<rat, int> mx, my; int main() { pair<int, int> ans(-1, -1); memset(rev, -1, sizeof(rev)); cin >> maxX >> maxY >> w; for (int y = 1; y <= maxY; ++y) my[rat(y, getRev(y))]++; int y = maxY; int cur = 0; for (int x = 1; x <= maxX; ++x) { rat rx(x, getRev(x)); mx[rx]++; swap(rx.a, rx.b); cur += my[rx]; while (y > 0 && cur >= w) { if (ans.first == -1 || ans.first * 1ll * ans.second > x * 1ll * y) { ans = pair<int, int>(x, y); } rat ry(y, getRev(y)); my[ry]--; swap(ry.a, ry.b); cur -= mx[ry]; y--; } } if (ans.first == -1) { puts("-1"); return 0; } cout << ans.first << " " << ans.second << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long anss = 1e15, ansx, ansy; map<double, long long> mp1, mp2; double x[500005], y[500005]; long long work(long long x) { long long ans = 0; while (x) { ans = ans * 10 + x % 10; x /= 10; } return ans; } signed main() { long long xx, yy, w, ans = 0; scanf("%lld%lld%lld", &xx, &yy, &w); for (long long i = 1; i <= xx; i++) { x[i] = i; x[i] /= work(i); mp1[x[i]]++; } for (long long i = 1; i <= yy; i++) { y[i] = work(i); y[i] /= i; } long long xxx = xx, yyy = 1; ans += mp1[y[1]]; mp2[y[1]]++; while (xxx >= 1 && yyy <= yy) { if (ans >= w) { if (anss > xxx * yyy) { ansx = xxx; ansy = yyy; anss = xxx * yyy; } ans -= mp2[x[xxx]]; mp1[x[xxx]]--; xxx--; } else { yyy++; ans += mp1[y[yyy]]; mp2[y[yyy]]++; } } if (anss == 1e15) printf("-1\n"); else printf("%lld %lld\n", ansx, ansy); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; const int MOD = 1e9 + 7; int rev[200005]; long long gcd(long long a, long long b) { return b == 0 ? a : gcd(b, a % b); } map<pair<int, int>, int> mpx; map<pair<int, int>, int> mpy; void init() { for (int i = 1; i <= 200000; i++) { int ans = i; int a = 0; while (ans) { a = ans % 10 + a * 10; ans /= 10; } rev[i] = a; } } int main() { init(); int x, y, w; cin >> x >> y >> w; for (int i = 1; i <= y; i++) { pair<int, int> pi(i / gcd(i, rev[i]), rev[i] / gcd(i, rev[i])); mpy[pi]++; } int ans = 0; int posx, posy = y; for (posx = 1; posx <= x; posx++) { pair<int, int> pi(rev[posx] / gcd(rev[posx], posx), posx / gcd(rev[posx], posx)); mpx[pi]++; ans += mpy[pi]; if (ans >= w) { break; } } int nmin = inf; int fx = -1; int fy = -1; if (ans >= w) { nmin = posx * y; fx = posx; fy = y; } int res = ans; while (true && posx <= x && posy >= 1 && res >= w) { pair<int, int> pi(posy / gcd(posy, rev[posy]), rev[posy] / gcd(posy, rev[posy])); mpy[pi]--; res -= mpx[pi]; while (res < w && posx + 1 <= x) { posx++; pair<int, int> pi(rev[posx] / gcd(rev[posx], posx), posx / gcd(rev[posx], posx)); mpx[pi]++; res += mpy[pi]; } posy--; if (res >= w && posx * posy < nmin) { nmin = posx * posy; fx = posx; fy = posy; } } if (~fx && ~fy) { cout << fx << ' ' << fy << endl; } else cout << -1 << endl; return 0; }
#include <bits/stdc++.h> using namespace std; map<pair<int, int>, int> mx, my; int rev(int n) { int res = 0; while (n) { int p = n % 10; res = res * 10 + p; n /= 10; } return res; } int gcd(int a, int b) { if (b == 0) return a; return gcd(b, a % b); } int main() { int maxx, maxy, w; cin >> maxx >> maxy >> w; for (int i = (1); i < (maxx + 1); ++i) { int rx = rev(i); int g = gcd(i, rx); mx[make_pair(i / g, rx / g)]++; } int oury = 0; long long ress = 0; long long best = 1000000000000000000ll; int ans1 = -1, ans2 = -1; for (int x = maxx; x > 0; --x) { bool f = false; while (oury <= maxy) { if (ress >= w) { f = true; break; } oury++; int ry = rev(oury); int g = gcd(oury, ry); my[make_pair(ry / g, oury / g)]++; ress += mx[make_pair(ry / g, oury / g)]; } int rx = rev(x); int g = gcd(x, rx); ress -= my[make_pair(x / g, rx / g)]; mx[make_pair(x / g, rx / g)]--; if (f) { if (oury * 1ll * x < best) { best = oury * 1ll * x; ans1 = x; ans2 = oury; } } } if (ans1 == -1) printf("-1\n"); else printf("%d %d\n", ans1, ans2); return 0; }
#include <bits/stdc++.h> using namespace std; struct rat { int x, y; rat() {} rat(int tx, int ty) { x = tx; y = ty; } rat flip() { return rat(y, x); } bool operator<(const rat& o) const { return (long long)x * o.y < (long long)o.x * y; } bool operator==(const rat& o) const { return (long long)x * o.y == (long long)o.x * y; } }; int getrev(int a) { int t = 0; while (a) { t = (t * 10) + (a % 10); a /= 10; } return t; } int rev[100010]; multiset<rat> a, b; int c = 0, ta = 0, tb = 0; void inca() { ta++; rat t(ta, rev[ta]); a.insert(t); c += b.count(t.flip()); } void incb() { tb++; rat t(tb, rev[tb]); b.insert(t); c += a.count(t.flip()); } void decb() { rat t(tb, rev[tb]); if (b.find(t) == b.end()) { printf("ERR\n"); fflush(stdout); exit(1); } b.erase(b.find(t)); c -= a.count(t.flip()); tb--; } int main() { for (int i = 1; i <= 100000; i++) rev[i] = getrev(i); int n, m, k; scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= m; i++) incb(); long long best = 99999999999999LL; int ba = 0, bb = 0; for (int i = 1; i <= n; i++) { inca(); while (tb != 0 && c >= k) decb(); if (tb < m) incb(); if (c >= k) { long long t = ta; t *= tb; if (t < best) { best = t; ba = ta; bb = tb; } } } if (best != 99999999999999LL) printf("%d %d\n", ba, bb); else printf("-1\n"); }
#include <bits/stdc++.h> using namespace std; double aux(long long x) { long long ans = 0; while (x) ans = ans * 10 + x % 10, x /= 10; return (double)ans; } map<double, long long> mp1, mp2; double f[200005]; long long n, m, w; signed main() { scanf("%I64d%I64d%I64d", &n, &m, &w); for (long long i = 1; i <= n; i++) f[i] = i / aux(i), mp1[f[i]]++; long long tot = 0; for (long long i = 1; i <= m; i++) tot += mp1[aux(i) / i]; if (tot < w) return puts("-1"), 0; long long xx = n, yy = 1; long long ansx, ansy, plk = 1e18; long long sum = mp1[1.0]; mp2[1.0]++; while (xx >= 1 && yy <= m) { if (sum >= w) { if (xx * yy < plk) plk = xx * yy, ansx = xx, ansy = yy; double pl = 1.0 * xx / aux(xx); mp1[pl]--; sum -= mp2[pl]; xx--; } else { yy++; double pl = aux(yy) / yy; sum += mp1[pl]; mp2[pl]++; } } cout << ansx << " " << ansy; return 0; }
#include <bits/stdc++.h> using namespace std; int MX, MY, W; class rational { public: int x, y; rational() {} rational(int x1, int y1) { x = x1; y = y1; } bool operator<(const rational r) const { return 1ll * x * r.y < 1ll * y * r.x; } }; const int LEN = 100010; map<rational, int> m1, m2; rational r[LEN], rr[LEN]; int rev(int x) { int n = 0; while (x != 0) { n = n * 10 + x % 10; x /= 10; } return n; } int main() { cin >> MX >> MY >> W; for (int i = 0; i < LEN; i++) { r[i].x = i; r[i].y = rev(i); rr[i].x = r[i].y; rr[i].y = r[i].x; } for (int i = 1; i <= MX; i++) m1[r[i]]++; m2[rational(1, 1)] = 1; int minx = LEN + 1, miny = 1; int curw = m1[rational(1, 1)], cur = 1; if (curw >= W) { minx = MX; miny = 1; } int maxw = 0; for (int i = MX; i >= 1; i--) { while (cur < MY && curw < W) { cur++; m2[rr[cur]]++; curw += m1[rr[cur]]; } if (maxw < curw) maxw = curw; if (cur == MY && curw < W) break; if (curw >= W && ((i * cur < minx * miny) || (minx > LEN))) { minx = i; miny = cur; } curw -= m2[r[i]]; m1[r[i]]--; } if (minx > LEN) cout << "-1\n"; else cout << minx << " " << miny << "\n"; exit(0); }
#include <bits/stdc++.h> using namespace std; int m1[100001]; vector<int> m2[100001]; map<int, int> mp[100001]; int main() { int n = 1; int maxx, maxy, w; cin >> maxx >> maxy >> w; for (int i = 1; i <= maxx; i++) { int x = i, y = 0; while (x) { y = y * 10 + (x % 10); x /= 10; } x = i; int g = x, b = y; while (b) { int x2 = b; b = g % b; g = x2; } x /= g; y /= g; g = mp[x][y]; if (!g) { mp[x][y] = n++; g = n - 1; } m1[i] = g; } n = 0; for (int i = 1; i <= maxy; i++) { int x = i, y = 0; while (x) { y = y * 10 + (x % 10); x /= 10; } x = i; int g = x, b = y; while (b) { int x2 = b; b = g % b; g = x2; } x /= g; y /= g; g = mp[y][x]; if (g) { m2[g].push_back(i); n = max(n, (int)m2[g].size()); } } long long MH = (long long)(maxx + 1ll) * (long long)(maxy + 1ll); long long l = 0, h = MH; while (l <= h) { long long m = (l + h) / 2ll; int t = 0; int cnt = 0; priority_queue<int> q; for (int x = 1; x <= maxx && !t; x++) { long long h2 = m / x; while (!q.empty() && q.top() > h2) q.pop(); int y = m1[x]; for (int i = 0; i < m2[y].size() && m2[y][i] <= h2; i++) { q.push(m2[y][i]); } if (q.size() >= w) t = 1; } if (t) h = m - 1; else l = m + 1; } if (l < MH) { priority_queue<int> q; int t = 0; int x1, y1; for (int x = 1; x <= maxx && !t; x++) { while (!q.empty() && (long long)x * (long long)q.top() > l) q.pop(); int y = m1[x]; for (int i = 0; i < m2[y].size() && (long long)x * (long long)m2[y][i] <= l; i++) q.push(m2[y][i]); if (q.size() >= w) { t = 1; x1 = x; y1 = q.top(); } } cout << x1 << " " << y1 << endl; } else cout << -1 << endl; return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> void check_max(T& a, T b) { if (a < b) a = b; } template <class T> void check_min(T& a, T b) { if (a > b) a = b; } int r(int a) { int res = 0; for (int p = 0, mi = 1; mi <= a; mi *= 10, p++) res = res * 10 + (a / mi % 10); return res; } const int MAXN = 100000 + 1; const int MAXMI = 16; struct TYPE { int num; int mi[MAXMI][2]; }; bool operator<(TYPE a, TYPE b) { for (int _t = MAXMI, i = 0; i < _t; i++) for (int _t = 2, w = 0; w < _t; w++) if (a.mi[i][w] != b.mi[i][w]) return a.mi[i][w] < b.mi[i][w]; return false; } TYPE rec[MAXN]; void add(map<int, int>& tmp, int v, int coef) { for (int i = 2; i * i <= v; i++) { if (v % i == 0) { while (v % i == 0) { tmp[i] += coef; v /= i; } } } if (v != 1) tmp[v] += coef; } vector<int> R[MAXN]; void init() { for (int _t = MAXN, i = 1; i < _t; i++) { map<int, int> tmp; add(tmp, i, 1); add(tmp, r(i), -1); memset(rec[i].mi, 0, sizeof(rec[i].mi)); int c = 0; for (map<int, int>::iterator it = tmp.begin(); it != tmp.end(); it++) if (it->second != 0) { rec[i].mi[c][0] = it->first; rec[i].mi[c][1] = it->second; c++; } rec[i].num = i; } sort(rec + 1, rec + MAXN); for (int _t = MAXN, i = 0; i < _t; i++) R[i].clear(); for (int _t = MAXN, p = 1; p < _t; p++) { TYPE rev = rec[p]; for (int _t = MAXMI, x = 0; x < _t; x++) rev.mi[x][1] = -rev.mi[x][1]; int i = 0, d = 1; while (d < MAXN) d *= 2; for (; d > 0; d /= 2) if (i + d < MAXN && rec[i + d] < rev) i += d; i++; if (i < MAXN && !(rev < rec[i])) { int j = i; while (j < MAXN && !(rec[i] < rec[j])) j++; for (int _t = j, k = i; k < _t; k++) R[rec[p].num].push_back(rec[k].num); } } } const int IAL = 1 << 18; int ia[IAL + 1]; int g(int v) { return v & (-v); } void add(int v) { while (v < IAL) { ia[v]++; v += g(v); } } int sum(int v) { int res = 0; while (v) { res += ia[v]; v -= g(v); } return res; } void solve() { int maxx, maxy, w; cin >> maxx >> maxy >> w; memset(ia, 0, sizeof(ia)); bool ok = false; long long ansx = 1E8, ansy = 1E8; int all_sum = 0; for (int x = 1; x <= maxx; x++) { for (int _t = R[x].size(), p = 0; p < _t; p++) if (R[x][p] <= maxy) { add(R[x][p]); all_sum++; } if (all_sum >= w) { int d = 1; while (d < maxy) d *= 2; int y = 0; for (; d > 0; d /= 2) if (y + d <= maxy && sum(y + d) < w) y += d; y++; if ((long long)x * (long long)y < ansx * ansy) { ansx = x; ansy = y; ok = true; } } } if (ok) cout << ansx << " " << ansy << endl; else cout << -1 << endl; } int main() { init(); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; int tree[200010], rever[100010]; int maxa, maxb, w; map<long double, vector<int> > st; int sum(int x) { int ans = 0; while (x > 0) { ans += tree[x]; x -= x & -x; } return ans; } void add(int x, int a) { while (x <= maxb) { tree[x] += a; x += x & -x; } } int rev(int a) { char str[10] = {0}; sprintf(str, "%d", a); reverse(str, strlen(str) + str); sscanf(str, "%d", &a); return a; } int main() { int lst = 100000, mx, my; long long ans = 1000000000000ll; scanf("%d%d%d", &maxa, &maxb, &w); for (int i = 1; i <= maxb; ++i) st[(long double)rev(i) / (long double)i].push_back(i); for (int i = 1; i <= ((maxa) < (maxb) ? (maxb) : (maxa)); ++i) rever[i] = rev(i); for (int a = 1; a <= maxa; ++a) { int reva = rever[a]; if (a % 9 != reva % 9) continue; if (st.find((long double)a / (long double)reva) == st.end()) continue; vector<int>& vec = st[(long double)a / (long double)reva]; for (int i = 0; i < vec.size() && vec[i] < lst; ++i) if (vec[i] * a == rever[vec[i]] * reva) add(vec[i], 1); if (sum(maxb) < w) continue; int l = 0, r = maxb; while (l < r) { int ans = (l + r) >> 1; if (sum(ans) >= w) r = ans; else l = ans + 1; } lst = l; if (ans > l * (long long)a) ans = l * (long long)a, mx = a, my = l; } if (ans < 1000000000000ll) printf("%d %d", mx, my); else printf("-1"); }
#include <bits/stdc++.h> using namespace std; map<pair<int, int>, int> mp0, mp1; int gcd(int x, int y) { if (y == 0) return x; else return gcd(y, x % y); } int rev(int x) { int ret = 0; while (x) { ret = ret * 10 + x % 10; x /= 10; } return ret; } pair<int, int> SpeMakePair(int x, int y) { int g = gcd(x, y); return make_pair(x / g, y / g); } int main() { int maxx, maxy, w, x, y, ansx, ansy, noww; cin >> maxx >> maxy >> w; for (int i = 1; i <= maxx; i++) mp0[SpeMakePair(i, rev(i))]++; x = maxx; y = 0; noww = 0; ansx = 0; while (x > 0) { if (noww < w) { if (y < maxy) y++, noww += mp0[SpeMakePair(rev(y), y)], mp1[SpeMakePair(rev(y), y)]++; else break; } else { if (ansx == 0 || x * y < ansx * ansy) ansx = x, ansy = y; noww -= mp1[SpeMakePair(x, rev(x))]; mp0[SpeMakePair(x, rev(x))]--; x--; } } if (ansx == 0) cout << -1 << endl; else cout << ansx << " " << ansy << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int mx, mn, w, x, cc, y, ansx, ansy; map<double, int> m1; map<double, int> m2; double q; int dz(int x) { int ans = 0; while (x) ans = ans * 10 + (x % 10), x /= 10; return ans; } int main() { cin >> mx >> mn >> w; for (int i = 1; i <= mx; i++) q = i * 1.0 / dz(i), m1[q]++; x = mx; while (y <= mn && x >= 1) { if (cc < w && y < mn) y++, q = (dz(y) * 1.0) / y, cc += m1[q], m2[q]++; else if (cc >= w) { if (ansx * ansy > x * y || !ansx) ansx = x, ansy = y; q = (x * 1.0) / dz(x), cc -= m2[q], m1[q]--, x--; } else y = mn + 1; } if (ansx == 0) cout << -1; else cout << ansx << " " << ansy; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:32000000") using namespace std; const double pi = 3.1415926535897932384626433832795; template <class T> inline T Sqr(const T &x) { return x * x; } template <class T> inline T Abs(const T &x) { return x >= 0 ? x : -x; } template <class T> T gcd(T x, T y) { return y == 0 ? x : gcd(y, x % y); } pair<int, int> calc(int x) { int t = x, rev = 0; while (t) { int d = t % 10; t /= 10; rev = rev * 10 + d; } int g = gcd(x, rev); return make_pair(x / g, rev / g); } pair<int, int> rev(pair<int, int> t) { return make_pair(t.second, t.first); } map<pair<int, int>, int> m; vector<int> nums[200000]; int q; int getid(pair<int, int> x) { if (m.find(x) == m.end()) { m[x] = q++; } return m[x]; } void solve() { for (int i = 1; i <= 100000; i++) nums[getid(calc(i))].push_back(i); int mx, my, w; scanf("%d%d%d", &mx, &my, &w); multiset<int> ms; long long rescnt = 1ll << 60; int resx = -1, resy = 1000000, cury = my + 1; for (int i = 1; i <= mx; i++) { int idx = getid(rev(calc(i))); for (int j = 0; j < (nums[idx]).size(); j++) if (nums[idx][j] < cury) ms.insert(nums[idx][j]); if (ms.size() >= w) { while (ms.size() > w) ms.erase(--ms.end()); int cury = *(--ms.end()); if (i * (long long)cury < rescnt) { rescnt = i * (long long)cury; resx = i; resy = cury; } } } if (resx == -1) cout << -1; else printf("%d %d", resx, resy); } int main() { solve(); return 0; }
#include <bits/stdc++.h> using namespace std; int same[100100]; int tree[100100]; int m; void add(int v) { while (v <= m) { tree[v]++; v += (v & (v ^ (v - 1))); } } int query(int v) { int ret = 0; while (v > 0) { ret += tree[v]; v -= (v & (v ^ (v - 1))); } return ret; } int rev(int v) { int ret = 0; while (v) { ret = ret * 10 + v % 10; v /= 10; } return ret; } int gcd(int a, int b) { if (a < b) return gcd(b, a); if (b == 0) return a; return gcd(b, a % b); } int main() { int beg, end, mid, n, i, j, k, x, w, top = 0; pair<long long, int> ret = make_pair(100000000000LL, -1); scanf("%d %d %d", &n, &m, &w); end = m; for (i = 1; i <= m; i++) if (i == rev(i)) same[top++] = i; for (i = 1; i <= n; i++) { x = rev(i); k = x / gcd(x, i); if (x == i) for (j = 0; j < top; j++) add(same[j]); else for (j = k; j <= m; j += k) if (1LL * i * j == 1LL * x * rev(j)) add(j); beg = 0; while (beg < end) { mid = (beg + end) / 2; if (query(mid) < w) beg = mid + 1; else end = mid; } if (query(beg) >= w) ret = min(ret, make_pair(1LL * i * beg, i)); } if (ret.second == -1) printf("-1\n"); else printf("%d %d\n", ret.second, ret.first / ret.second); return 0; }
#include <bits/stdc++.h> using namespace std; struct NUM { int x, y; void init(int i) { x = i; int t = 0; while (i) { t = t * 10 + (i % 10); i /= 10; } y = t; } bool operator<(const NUM &t) const { return 1LL * y * t.x <= 1LL * t.y * x; } } num[100005]; int rev(int x) { int res = 0; while (x) { res = res * 10 + (x % 10); x /= 10; } return res; } int mx, my, w; int a[100005]; void add(int x) { while (x <= my) { ++a[x]; x += x & (-x); } } int getSum(int x) { int res = 0; while (x >= 1) { res += a[x]; x -= x & (-x); } return res; } int main() { scanf("%d%d%d", &mx, &my, &w); for (int i = 1; i <= my; ++i) num[i].init(i); sort(num + 1, num + 1 + my); int x = -1, y = -1; long long mi; for (int i = 1; i <= mx; ++i) { int t = rev(i); int l = 1, r = my; while (l < r) { int m = (l + r) >> 1; if (1LL * num[m].y * t < 1LL * i * num[m].x) l = m + 1; else r = m; } while (l <= my && 1LL * num[l].y * t == 1LL * i * num[l].x) { add(num[l].x); ++l; } l = 1, r = my; while (l < r) { int m = (l + r) >> 1; if (getSum(m) < w) l = m + 1; else r = m; } if (getSum(l) >= w) { if (x == -1) x = i, y = l, mi = 1LL * x * y; else if (mi > 1LL * i * l) x = i, y = l, mi = 1LL * x * y; } } if (x != -1) { printf("%d %d\n", x, y); } else { puts("-1"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxint = 0x7fffffff; map<pair<int, int>, vector<int> > have; vector<int>::iterator it; int maxx, maxy, w; int tree[100000 * 8]; int reverse(int x) { int y = 0; while (x > 0) { y = y * 10 + x % 10; x /= 10; } return y; } int gcd(int x, int y) { if (x < y) swap(x, y); if (x % y == 0) return y; else return gcd(y, x % y); } void insert(int root, int l, int r, int x) { tree[root]++; if (l == r) return; int mid = (l + r) / 2; if (x <= mid) insert(root * 2, l, mid, x); else insert(root * 2 + 1, mid + 1, r, x); } int find(int root, int l, int r, int cnt) { if (cnt > tree[root]) return 0; if (l == r) return l; int mid = (l + r) / 2; if (cnt <= tree[root * 2]) return find(root * 2, l, mid, cnt); else return find(root * 2 + 1, mid + 1, r, cnt - tree[root * 2]); } int main() { int i, y2, y3, g, x2, x3, ans, y, ax, ay; scanf("%d%d%d", &maxx, &maxy, &w); for (i = 1; i <= maxy; i++) { y2 = i; y3 = reverse(i); g = gcd(y2, y3); y2 /= g; y3 /= g; have[make_pair(y3, y2)].push_back(i); } ans = maxint; for (i = 1; i <= maxx; i++) { x2 = i; x3 = reverse(i); g = gcd(x2, x3); x2 /= g; x3 /= g; for (it = have[make_pair(x2, x3)].begin(); it != have[make_pair(x2, x3)].end(); it++) insert(1, 1, maxy, *it); y = find(1, 1, maxy, w); if (y != 0) if (i * y < ans) { ans = i * y; ax = i; ay = y; } } if (ans == maxint) printf("-1\n"); else printf("%d %d\n", ax, ay); return 0; }
#include <bits/stdc++.h> using namespace std; int maxa, maxb, w; int a, b, sum, ans1, ans2; int q[11], cnt; long long ans; map<pair<int, int>, int> A, B; int gcd(int a, int b) { for (; b; b ^= a ^= b ^= a %= b) ; return a; } int rev(int x) { int sum = 0; for (; x; x /= 10) sum = sum * 10 + x % 10; return sum; } pair<int, int> get(int x, int y) { int g = gcd(x, y); return make_pair(x / g, y / g); } int main() { scanf("%d%d%d", &maxa, &maxb, &w); ans = 1ll * maxa * maxb + 1; for (b = 1; b <= maxb; b++) B[get(rev(b), b)]++; b--; sum = 0; for (a = 1; a <= maxa; a++) { pair<int, int> PYC = get(a, rev(a)); sum += B[PYC]; A[PYC]++; while (sum >= w && b > 0) { pair<int, int> DYC = get(rev(b), b); if (sum - A[DYC] >= w) { sum -= A[DYC]; B[DYC]--; b--; } else break; } if (sum >= w) if (1ll * a * b < ans) ans = 1ll * a * b, ans1 = a, ans2 = b; } if (ans == 1ll * maxa * maxb + 1) printf("-1\n"); else printf("%d %d\n", ans1, ans2); }
#include <bits/stdc++.h> using namespace std; int maxx, maxy, w, x, y, c, ansx, ansy; map<double, int> p, q; double t; int rev(int x) { int ans = 0; while (x > 0) { ans = ans * 10 + (x % 10); x /= 10; } return ans; } int main() { cin >> maxx >> maxy >> w; for (int i = 1; i <= maxx; i++) { t = i * 1.0 / rev(i); p[t]++; } x = maxx; while (y <= maxy && x >= 1) { if (c >= w) { if (ansx * ansy > x * y || !ansx) { ansx = x; ansy = y; } t = (x * 1.0) / rev(x); c -= q[t]; p[t]--; x--; continue; } if (y >= maxy) { y = maxy + 1; continue; } if (c < w && y < maxy) { y++; t = (rev(y) * 1.0) / y; c += p[t]; q[t]++; } } if (!ansx) cout << -1 << endl; else cout << ansx << " " << ansy << endl; }
#include <bits/stdc++.h> using namespace std; int MX, MY, W; map<pair<int, int>, int> m1, m2; int gcd(int a, int b) { if (!b) return a; return gcd(b, a % b); } int rev(int x) { int res = 0; while (x) { res = res * 10 + (x % 10); x /= 10; } return res; } void gs(int x) { int a = x, b = rev(x); int g = gcd(a, b); a /= g; b /= g; m1[make_pair(a, b)]++; } bool okay(int y, int &total) { int a = rev(y), b = y; int g = gcd(a, b); a /= g; b /= g; m2[make_pair(a, b)]++; total += m1[make_pair(a, b)]; return total >= W; } int gety(int a, int b, int &total) { if (total >= W) return b; for (int i = b + 1; i <= MY; i++) { if (okay(i, total)) return i; } return -1; } void sub(int x, int &total) { int a = x, b = rev(x); int g = gcd(a, b); a /= g; b /= g; m1[make_pair(a, b)]--; total -= m2[make_pair(a, b)]; } int main() { while (scanf("%d%d%d", &MX, &MY, &W) == 3) { m1.clear(); m2.clear(); for (int i = 1; i <= MX; i++) gs(i); int total = 0; int X = MX; int Y = gety(MX, 0, total); if (Y == -1) { puts("-1"); continue; } int AX = X, AY = Y; long long ans = (long long)X * Y; while (X > 1) { sub(X, total); X--; Y = gety(X, Y, total); if (Y == -1) break; long long tmp = (long long)X * Y; if (ans > tmp) { ans = tmp; AX = X; AY = Y; } } printf("%d %d\n", AX, AY); } return 0; }
#include <bits/stdc++.h> using namespace std; int gcd(int a, int b) { return a == 0 ? b : gcd(b % a, a); } int rev(int x) { int res = 0; for (; x; res = res * 10 + x % 10, x /= 10) ; return res; } int ma, mb, w; map<pair<int, int>, int> id; int getID(const pair<int, int>& f) { if (id.find(f) == id.end()) { int sz = id.size(); id[f] = sz; } return id[f]; } int a[100010]; int b[100010]; int aa[110010]; int bb[110010]; bool findans(long long cum, int& x, int& y) { memset(aa, 0, sizeof(aa)); memset(bb, 0, sizeof(bb)); x = min(cum, (long long)ma); y = cum / x; long long acc = 0; for (int i = 1; i <= x; i++) aa[a[i]]++; for (int j = 1; j <= y; j++) { bb[b[j]]++; acc += aa[b[j]]; } if (acc >= w) return true; while (1) { if (x == 1) break; aa[a[x]]--; acc -= bb[a[x]]; x--; long long tary = cum / x; if (tary > mb) break; while (y < tary) { y++; bb[b[y]]++; acc += aa[b[y]]; } if (acc >= w) return true; } return false; } int main() { id.clear(); scanf("%d%d%d", &ma, &mb, &w); for (int i = 1; i <= ma; i++) { int k = i; int rk = rev(k); int d = gcd(k, rk); k /= d, rk /= d; a[i] = getID(make_pair(k, rk)); } for (int i = 1; i <= mb; i++) { int k = i; int rk = rev(k); int d = gcd(k, rk); k /= d, rk /= d; b[i] = getID(make_pair(rk, k)); } long long l = 1, r = (long long)ma * mb; long long ans = -1; while (l <= r) { long long mid = (l + r) / 2; int x, y; if (findans(mid, x, y)) { r = mid - 1; ans = mid; } else l = mid + 1; } if (ans == -1) printf("-1\n"); else { int x, y; findans(ans, x, y); printf("%d %d\n", x, y); } return 0; }
#include <bits/stdc++.h> using namespace std; int mx, mn, w, ans1, ans2, x, y, c; map<double, int> m1, m2; double qwq; inline int f(int x) { int s = 0; while (x) { s = s * 10 + x % 10; x /= 10; } return s; } signed main() { scanf("%d%d%d", &mx, &mn, &w); x = mx; for (int i = 1; i <= mx; ++i) { qwq = 1.0 * i / f(i); ++m1[qwq]; } while (x > 0 && y <= mn) { if (c < w && y < mn) { qwq = 1.0 * f(++y) / y; c += m1[qwq]; ++m2[qwq]; } else if (c >= w) { if (ans1 * ans2 > x * y || !ans1) ans1 = x, ans2 = y; qwq = 1.0 * x / f(x); c -= m2[qwq]; --m1[qwq]; --x; } else y = mn + 1; } if (ans1) printf("%d %d", ans1, ans2); else printf("-1"); return 0; }
#include <bits/stdc++.h> using namespace std; int gcd(int a, int b) { if (b == 0) return a; return gcd(b, a % b); } struct frac { int num, den; frac(int a, int b) { num = a / gcd(a, b); den = b / gcd(a, b); } bool operator<(const frac& b) const { if (num != b.num) return num < b.num; else return den < b.den; } }; map<frac, vector<int> > M; int reverseVal(int x) { char s[10]; int x2; sprintf(s, "%d", x); reverse(s, s + strlen(s)); sscanf(s, "%d", &x2); return x2; } frac get(int x) { return frac(x, reverseVal(x)); } frac invget(int x) { return frac(reverseVal(x), x); } int mx, my; long long int w; int getminx(int y, int w) { int did = 0; for (int x = 1; x <= 10000; x++) { frac f = get(x); vector<int>::iterator it = upper_bound(M[f].begin(), M[f].end(), y); if (it != M[f].begin()) { did += int(--it - M[f].begin() + 1); } if (did >= w) return x; } return -1; } long long int bit[100001]; void add(int x) { while (x <= my) { bit[x]++; x += (x & -x); } } long long int query(int x) { long long int answ = 0; while (x > 0) { answ += (long long int)bit[x]; x -= (x & -x); } return answ; } int main(void) { cin >> mx >> my >> w; for (int i = 1; i <= my; i++) M[invget(i)].push_back(i); int tot = 0; for (map<frac, vector<int> >::iterator it = M.begin(); it != M.end(); it++) sort(it->second.begin(), it->second.end()); memset(bit, 0, sizeof bit); long long int best = -1; int bx, by; for (int i = 1; i <= mx; i++) { frac t = get(i); int s = M[t].size(); for (int j = 0; j < s; j++) add(M[t][j]); long long int tot = query(my); if (tot >= w) { int lo = 1, hi = my; while (hi - lo > 1) { int mid = (lo + hi) / 2; if (query(mid) >= w) hi = mid; else lo = mid + 1; } if (query(lo) >= w) { if (best == -1 || lo * i <= best) best = lo * i, bx = i, by = lo; } else if (best == -1 || hi * i <= best) best = hi * i, bx = i, by = hi; } } if (best == -1) cout << -1 << endl; else cout << bx << " " << by << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int mx, mn, w, ans1, ans2, x, y, c; map<double, int> m1, m2; double qwq; inline int f(int x) { int s = 0; while (x) { s = s * 10 + x % 10; x /= 10; } return s; } signed main() { scanf("%d%d%d", &mx, &mn, &w); x = mx; for (int i = 1; i <= mx; ++i) { qwq = 1.0 * i / f(i); ++m1[qwq]; } while (x > 0 && y <= mn) { if (c < w && y < mn) { qwq = 1.0 * f(++y) / y; c += m1[qwq]; ++m2[qwq]; } else if (c >= w) { if (ans1 * ans2 > x * y || !ans1) ans1 = x, ans2 = y; qwq = 1.0 * x / f(x); c -= m2[qwq]; --m1[qwq]; --x; } else y = mn + 1; } if (ans1) printf("%d %d", ans1, ans2); else printf("-1"); return 0; }
#include <bits/stdc++.h> using namespace std; char s[23]; double r[100003]; struct cmp { bool operator()(const double& x, const double& y) const { return x - y < -1e-10; } }; map<double, int, cmp> mpx, mpy; int main() { int X, Y, w; bool swp = 0; scanf("%d%d%d", &X, &Y, &w); if (X > Y) swap(X, Y), swp = 1; for (int i = 1; i <= Y; i++) { sprintf(s, "%d", i); int len = strlen(s); reverse(s, s + len); int j; sscanf(s, "%d", &j); r[i] = double(i) / j; } for (int k = 1; k <= Y; k++) mpy[r[k]]++; mpx[r[1]]++; long long ANS = 100000000000000000ll; int ANSx, ANSy, res = mpy[1 / r[1]]; for (int i = 1, j = Y; i <= X && j >= 1;) { if (res >= w) { if ((long long)i * j < ANS) { ANS = (long long)i * j; ANSx = i; ANSy = j; } res -= mpx[1 / r[j]]; mpy[r[j]]--; j--; } else { i++; res += mpy[1 / r[i]]; mpx[r[i]]++; } } if (swp) swap(ANSx, ANSy); if (ANS == 100000000000000000ll) printf("-1\n"); else printf("%d %d\n", ANSx, ANSy); return 0; }
#include <bits/stdc++.h> using namespace std; const int Maxn = 100 * 1000 + 10; map<pair<int, int>, pair<int, int> > mp; int GCD(int a, int b); int rev[Maxn]; int gcd[Maxn]; int w, m, n; long long mn = 1ll << 60; pair<int, int> ret; void Rev(int); map<pair<int, int>, pair<int, int> >::iterator it; int main() { cin >> n >> m >> w; for (int i = 1; i <= max(m, n) + 1; i++) { Rev(i); gcd[i] = GCD(i, rev[i]); } for (int i = 1; i <= n; i++) mp[pair<int, int>(i / gcd[i], rev[i] / gcd[i])].first++; int p = 0, sum = 0; for (int i = n; i > 0; i--) { while (sum < w && p <= m) { p++; it = mp.find(pair<int, int>(rev[p] / gcd[p], p / gcd[p])); if (it != mp.end()) { sum += (*it).second.first; (*it).second.second++; } } if (p < m + 1 && mn > (long long)i * p) mn = (long long)i * p, ret = pair<int, int>(i, p); it = mp.find(pair<int, int>(i / gcd[i], rev[i] / gcd[i])); if (it != mp.end()) { sum -= (*it).second.second; (*it).second.first--; if ((*it).second.first == 0) mp.erase(it); } } if (mn == 1ll << 60) cout << -1 << endl; else cout << ret.first << " " << ret.second << endl; return 0; } void Rev(int i) { int t = i; while (t) { rev[i] *= 10; rev[i] += t % 10; t /= 10; } } int GCD(int a, int b) { if (b > a) swap(b, a); return b ? GCD(b, a % b) : a; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e4 + 10; const long long MOD = 1e6 + 3; inline int in() { int x = 0, flag = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') flag = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') x = (x << 3) + (x << 1) + (ch ^ 48), ch = getchar(); return x * flag; } map<double, int> Mapx, Mapy; long long mx, my, w; long long rev(long long x) { long long ret = 0; while (x) { ret = ret * 10 + x % 10; x /= 10; } return ret; } void upd(int flag, long long x) { if (flag == 0) Mapx[(double)rev(x) / (double)x]++; else Mapy[(double)rev(x) / (double)x]++; } void del(int flag, long long x) { if (flag == 0) Mapx[(double)rev(x) / (double)x]--; else Mapy[(double)rev(x) / (double)x]--; } int main() { mx = in(), my = in(), w = in(); int x = 0, y = my; long long bx = -1, by = -1; long long ans = 0, best = 1e10; for (int i = 1; i <= my; i++) upd(1, i); while (x <= mx && y >= 1) { if (ans >= w && x * y < best) bx = x, by = y, best = x * y; if (ans < w) { x++; upd(0, x); ans += Mapy[(double)x / (double)rev(x)]; } else if (ans >= w) { ans -= Mapx[(double)y / (double)rev(y)]; del(1, y); y--; } } if (bx == -1) printf("-1\n"); else cout << bx << " " << by << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MaxN = (1 << 19); long long v[MaxN], p[MaxN], s[MaxN]; void construct(int x, int l, int r) { s[x] = r - l + 1; if (l == r) return; int mid = (l + r) >> 1; construct(x * 2, l, mid); construct(x * 2 + 1, mid + 1, r); } int L, R; inline void add(int x, int V) { v[x] += V * s[x]; p[x] += V; } inline void prop(int x) { add(x * 2, p[x]); add(x * 2 + 1, p[x]); p[x] = 0; } void update(int x, int l, int r) { if (l > R || r < L) return; if (l >= L && r <= R) { add(x, 1); return; } prop(x); int mid = (l + r) >> 1; update(x * 2, l, mid); update(x * 2 + 1, mid + 1, r); s[x] = s[x * 2] + s[x * 2 + 1]; v[x] = v[x * 2] + v[x * 2 + 1]; } int get(int x, int l, int r) { if (l > R || r < L) return 0; if (l == r) return v[x]; prop(x); int mid = (l + r) >> 1; int ret = get(x * 2, l, mid) + get(x * 2 + 1, mid + 1, r); s[x] = s[x * 2] + s[x * 2 + 1]; v[x] = v[x * 2] + v[x * 2 + 1]; return ret; } void rem(int x, int l, int r) { if (l > R || r < L) return; --s[x]; if (l == r) { v[x] = 0; return; } prop(x); int mid = (l + r) >> 1; rem(x * 2, l, mid); rem(x * 2 + 1, mid + 1, r); s[x] = s[x * 2] + s[x * 2 + 1]; v[x] = v[x * 2] + v[x * 2 + 1]; } int rev(int x) { int ret = 0; while (x > 0) { ret = ret * 10 + x % 10; x /= 10; } return ret; } int n, m, w; long long A[MaxN], B[MaxN]; int q[MaxN], pos[MaxN]; int cmp(int x, int y) { if (A[x] * B[y] != A[y] * B[x]) return A[x] * B[y] < A[y] * B[x]; return x < y; } int lower(int a, int b) { int lo, hi; lo = 0; hi = m; while (lo < hi) { int mi = (lo + hi) >> 1; if (A[q[mi]] * b < a * B[q[mi]]) lo = mi + 1; else hi = mi; } return lo; } int upper(int a, int b) { int lo, hi; lo = 0; hi = m; while (lo < hi) { int mi = (lo + hi) >> 1; if (A[q[mi]] * b <= a * B[q[mi]]) lo = mi + 1; else hi = mi; } return lo - 1; } int main(void) { scanf("%d%d%d", &n, &m, &w); for (int i = 1; i <= m; ++i) { A[i] = rev(i); B[i] = i; q[i - 1] = i; } sort(q, q + m, cmp); for (int i = 0; i < m; ++i) pos[q[i]] = i; construct(1, 0, m - 1); long long sol = ((long long)1 << (long long)62); int sa, sb; sa = sb = -1; int last = m; for (int i = 1; i <= n; ++i) { L = lower(i, rev(i)); R = upper(i, rev(i)); if (R < L) continue; update(1, 0, m - 1); while (v[1] >= w) { L = pos[last]; R = L; int x = get(1, 0, m - 1); if (v[1] - x >= w) { rem(1, 0, m - 1); --last; } else break; } if (v[1] >= w) if (sol > (long long)i * (long long)last) { sol = (long long)i * (long long)last, sa = i; sb = last; } } if (sa != -1) printf("%d %d\n", sa, sb); else puts("-1"); return 0; }
#include <bits/stdc++.h> using namespace std; long long mx, my, w; map<double, int> a, b; int rev(long long x) { long long ret = 0; while (x) { ret *= 10; ret += x % 10; x /= 10; } return ret; } long long get(long long x, long long y) { a.clear(); for (long long i = 1; i <= y; ++i) { double tmp = 1.0 * rev(i) / i; a[tmp]++; } long long ret = 0; for (long long i = 1; i <= x; ++i) { double tmp = 1.0 * i / rev(i); ret += a[tmp]; } return ret; } int main() { cin >> mx >> my >> w; if (get(mx, my) < w) { puts("-1"); return 0; } int nx = mx, ny = 1, ax = mx, ay = my; long long now = get(nx, ny); a.clear(); for (long long i = 1; i <= nx; ++i) { a[1.0 * i / rev(i)]++; } b.clear(); for (long long i = 1; i <= ny; ++i) { b[1.0 * rev(i) / i]++; } while (nx >= 1 && ny <= my) { if (now < w) { ny++; double tmp = 1.0 * rev(ny) / ny; now += a[tmp]; b[tmp]++; } else { if (1ll * nx * ny < 1ll * ax * ay) { ax = nx; ay = ny; } double tmp = 1.0 * nx / rev(nx); nx--; now -= b[tmp]; a[tmp]--; } } cout << ax << " " << ay << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int gcd(int x, int y) { return y == 0 ? x : gcd(y, x % y); } int rev(int x) { int ret = 0; while (x) { ret = ret * 10 + x % 10; x /= 10; } return ret; } map<pair<int, int>, int> m1, m2; int ansx, ansy; void check(int x, int y) { if (ansx == -1 || ((long long)ansx) * ansy > ((long long)x) * y) ansx = x, ansy = y; } int main() { int xmax, ymax, w; ansx = ansy = -1; scanf("%d%d%d", &xmax, &ymax, &w); int now = 0, x = 0, y = ymax; for (int i = 1, j, d; i <= ymax; i++) { j = rev(i); d = gcd(i, j); m2[make_pair(i / d, j / d)]++; } for (x = 1; x <= xmax; x++) { int i = x, j = rev(x), d = gcd(i, j); m1[make_pair(i / d, j / d)]++; now += m2[make_pair(j / d, i / d)]; while (now >= w) { check(x, y); i = y, j = rev(y), d = gcd(i, j); m2[make_pair(i / d, j / d)]--; now -= m1[make_pair(j / d, i / d)]; y--; } } if (ansx == -1) puts("-1"); else printf("%d %d\n", ansx, ansy); return 0; }
#include <bits/stdc++.h> using namespace std; map<pair<int, int>, int> A, B; int MA, MB, W; int r1, r2; int rev(int u) { int v = 0; for (; u; u /= 10) v = v * 10 + u % 10; return v; } int gcd(int a, int b) { return !b ? a : gcd(b, a % b); } int main() { scanf("%d%d%d", &MA, &MB, &W); for (int i = 1; i <= MA; i++) { int u = i, v = rev(i); A[make_pair(u / gcd(u, v), v / gcd(u, v))]++; } r1 = r2 = -1; long long now = 0; for (int i = MA, j = 0; i; i--) { while (j < MB && now < W) { ++j; int u = rev(j), v = j; pair<int, int> tmp = make_pair(u / gcd(u, v), v / gcd(u, v)); now += A[tmp]; B[tmp]++; } if (now >= W) { if (r1 == -1 || (long long)r1 * r2 > (long long)i * j) r1 = i, r2 = j; } int u = i, v = rev(i); pair<int, int> tmp = make_pair(u / gcd(u, v), v / gcd(u, v)); now -= B[tmp]; A[tmp]--; } if (r1 == -1) printf("-1\n"); else printf("%d %d\n", r1, r2); }
#include <bits/stdc++.h> using namespace std; template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << ' '; cout << endl; } long long rev(long long x) { long long res = 0; for (; x; x /= 10) res = res * 10 + (x % 10); return res; } long long gcd(long long a, long long b) { return b != 0 ? gcd(b, a % b) : a; } pair<long long, long long> gen(long long x, int s) { long long r = rev(x); long long g = gcd(x, r); x /= g; r /= g; if (s == 0) return make_pair(x, r); else return make_pair(r, x); } int main() { long long maxX, maxY, W; while (cin >> maxX >> maxY >> W) { map<pair<long long, long long>, int> countX, countY; for (int x = 1; x <= maxX; x++) { ++countX[gen(x, 0)]; } long long best = maxX * maxY + 10; vector<int> res(2, -1); int curW = 0; long long y = 0; for (int x = maxX; x >= 1 && y <= maxY;) { if (curW >= W) { if (best > x * y) { best = x * y; res[0] = x; res[1] = y; } } if (curW < W) { y++; ++countY[gen(y, 1)]; curW += countX[gen(y, 1)]; } else { --countX[gen(x, 0)]; curW -= countY[gen(x, 0)]; x--; } } if (res[0] == -1) cout << res[0] << endl; else cout << res[0] << ' ' << res[1] << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f, N = 2e5 + 5; inline int read() { int sum = 0, f = 1; char c = getchar(); while (c > '9' || c < '0') { if (c == '-') f = -f; c = getchar(); } while (c >= '0' && c <= '9') sum = sum * 10 + c - 48, c = getchar(); return sum * f; } int mx, my, w, x, y, ansx, ansy; int rev(int x) { int ans = 0; while (x) { ans = ans * 10 + x % 10; x /= 10; } return ans; } map<double, int> m1, m2; int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> mx >> my >> w; for (int x = 1; x <= mx; x++) { double tmp = x * 1.0 / rev(x); m1[tmp]++; } x = mx; int cnt = 0; while (y <= my && x >= 1) { if (cnt < w) { y++; double tmp = rev(y) * 1.0 / y; cnt += m1[tmp]; m2[tmp]++; } else { if (!ansx || x * y < ansx * ansy) { ansx = x; ansy = y; } double tmp = x * 1.0 / rev(x); cnt -= m2[tmp]; m1[tmp]--; x--; } } if (!ansx) cout << -1 << '\n'; else cout << ansx << ' ' << ansy << '\n'; return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:16777216") using namespace std; template <class T> T abs(T x) { return x > 0 ? x : -x; } int n; int m; int w; int rev[100001]; int getrev(int x) { vector<int> v; while (x) { v.push_back(x % 10); x /= 10; } int ans = 0; for (int i = 0; i < (((int)(v).size())); i++) ans = ans * 10 + v[i]; return ans; } int gcd(int a, int b) { return a ? gcd(b % a, a) : b; } vector<pair<pair<int, int>, int> > v; int s[105000]; int findsum(int l, int r) { long long sum = 0; int x = r; while (x > 0) { sum += s[x]; x &= x - 1; } x = l - 1; while (x > 0) { sum -= s[x]; x &= x - 1; } return sum; } void modify(int x, int val) { while (x < m + 5) { s[x] += val; x |= x - 1; x++; } } int zlo; void add(int x) { int sx = x; int y = rev[x]; int d = gcd(x, y); y /= d; x /= d; int p = lower_bound((v).begin(), (v).end(), make_pair(make_pair(y, x), -1)) - v.begin(); pair<int, int> o = make_pair(y, x); while (p < ((int)(v).size()) && v[p].first == o) { modify(v[p].second, 1); p++; zlo++; } } int main() { cin >> n >> m >> w; int nn = max(n, m); for (int i = 0; i < (nn + 1); i++) rev[i] = getrev(i); for (int i = 1; i <= nn; i++) { int d = gcd(i, rev[i]); v.push_back(make_pair(make_pair(i / d, rev[i] / d), i)); } sort((v).begin(), (v).end()); long long ax, ay; int f = 0; ax = 1000000; ay = 1000000; for (int i = 1; i <= n; i++) { add(i); int l = 1, r = m; if (findsum(1, m) < w) continue; int savec = 0; while (l <= r) { int c = (l + r) / 2; if (findsum(1, c) < w) l = c + 1; else { r = c - 1; savec = c; f = 1; } } if ((long long)savec * (long long)i < ax * ay) { ax = i; ay = savec; } } if (!f) { cout << -1 << endl; return 0; } cout << ax << ' ' << ay << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int mx, my, w, x, y, tot, bestx = 100001, besty = 100001; map<pair<int, int>, int> xc, yc; pair<int, int> xfr[100001], yfr[100001]; int rev(int a) { int b = 0; for (; a; a /= 10) b = b * 10 + a % 10; return b; } int gcd(int a, int b) { while (b) { int t = b; b = a % b; a = t; } return a; } pair<int, int> frac(int a, int b) { int g = gcd(a, b); return make_pair(a / g, b / g); } int main() { scanf("%d%d%d", &mx, &my, &w); for (x = 1; x <= mx; x++) xfr[x] = frac(x, rev(x)); for (y = 1; y <= my; y++) yfr[y] = frac(rev(y), y); for (x = 1; x <= mx; x++) xc[xfr[x]]++; for (x = mx, y = 1; x; x--) { for (; tot + xc[yfr[y]] < w && y <= my; y++) { yc[yfr[y]]++; tot += xc[yfr[y]]; } if (tot + xc[yfr[y]] >= w && (long long)x * y < (long long)bestx * besty) bestx = x, besty = y; xc[xfr[x]]--; tot -= yc[xfr[x]]; } if (bestx != 100001) printf("%d %d\n", bestx, besty); else printf("-1\n"); return 0; }
#include <bits/stdc++.h> using namespace std; long long maxx, maxy, W, cnt, ansx, ansy; map<double, long long> map1, map2; inline int rev(int x) { int ans = 0; for (; x; x /= 10) (ans *= 10) += x % 10; return ans; } int main() { scanf("%lld%lld%lld", &maxx, &maxy, &W); for (int i = (1); i <= (maxx); ++i) ++map1[1. * i / rev(i)]; for (int i = (1); i <= (maxy); ++i) cnt += map1[1. * rev(i) / i]; if (cnt < W) return puts("-1"), 0; long long tx = maxx, ty = 1LL; long long ansx = maxx, ansy = maxy; cnt = map1[1.], ++map2[1.]; while (tx && ty ^ maxy) { if (cnt >= W) { if (tx * ty < ansx * ansy) ansx = tx, ansy = ty; double quo = 1. * tx / rev(tx); --tx; cnt -= map2[quo], --map1[quo]; } else { ++ty; double quo = 1. * rev(ty) / ty; cnt += map1[quo], ++map2[quo]; } } printf("%lld %lld\n", ansx, ansy); return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> D; int rev(int x) { if (D[x] != -1) return D[x]; int p = 1; while (1) { if (p >= x) { if (p > x) p /= 10; break; } p *= 10; } int res = 0; while (x) { res += (x % 10) * p; p /= 10; x /= 10; } D[x] = res; return res; } int gcd(int a, int b) { while (b != 0) { int t = a % b; a = b; b = t; } return a; } int main() { istream &in = cin; D.resize(100001, -1); int mx, my, w, cnt = 0; in >> mx >> my >> w; map<pair<int, int>, int> MX, MY; long long x, y; for (x = 1; x <= mx; x++) { int rx = rev(x); int g = gcd(x, rx); if (x / g == 1 && rx / g == 1) { int tt = 0; } MX[make_pair(x / g, rx / g)]++; } int cw = 0; long long ax, ay; for (y = 1; y <= my; y++) { int ry = rev(y); int g = gcd(y, ry); pair<int, int> p = make_pair(ry / g, y / g); cw += MX[p]; MY[p]++; if (cw >= w) break; } if (cw < w) { cout << -1; return 0; } x = mx; ax = x; ay = y; for (; x >= 1;) { int rx = rev(x); int g = gcd(x, rx); pair<int, int> px = make_pair(x / g, rx / g); int decr = MY[px]; MX[px]--; x--; cw -= decr; if (cw >= w && x * y < ax * ay) { ax = x; ay = y; } if (cw < w) { bool ok = false; for (;;) { if (y == my) break; y++; int ry = rev(y); int g = gcd(y, ry); pair<int, int> py = make_pair(ry / g, y / g); int inc = MX[py]; MY[py]++; cw += inc; if (cw >= w) { if (x * y < ax * ay) { ax = x; ay = y; } ok = true; break; } } if (!ok) { break; } } } cout << ax << " " << ay; return 0; }
#include <bits/stdc++.h> using namespace std; int maxx, maxy, w; map<pair<int, int>, int> cntx, cnty; int mcd(int a, int b) { int tmp; while (b != 0) { tmp = b; b = a % b; a = tmp; } return a; } int rev(int n) { int ret = 0; while (n > 0) { ret = 10 * ret + (n % 10); n /= 10; } return ret; } pair<int, int> mpair(int x, int rx) { int d = mcd(x, rx); return pair<int, int>(rx / d, x / d); } int main() { cin >> maxx >> maxy >> w; long long bestx = maxx, besty = maxy; cntx.clear(); cnty.clear(); for (int x = 1; x <= maxx; x++) cntx[mpair(x, rev(x))]++; long long y = 1, x = maxx; int cur_count = cntx[mpair(rev(1), 1)]; cnty[mpair(rev(1), 1)]++; while (y < maxy && cur_count < w) { y++; cur_count += cntx[mpair(rev(y), y)]; cnty[mpair(y, rev(y))]++; } if (y == maxy && cur_count < w) { cout << -1 << endl; return 0; } while (x >= 1 && y <= maxy) { while (x >= 1 && cur_count - cnty[mpair(rev(x), x)] >= w) { cntx[mpair(x, rev(x))]--; cur_count -= cnty[mpair(rev(x), x)]; x--; } if (x * y < bestx * besty) { bestx = x; besty = y; } y++; if (y <= maxy) { cur_count += cntx[mpair(rev(y), y)]; cnty[mpair(y, rev(y))]++; } } cout << bestx << " " << besty << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 100000 + 5; map<pair<int, int>, int> remx, remy; int d[MAXN]; int rev[MAXN]; int gcd(int x, int y) { if (!y) return x; return gcd(y, x % y); } int get_rev(int x) { int res = 0, a; while (x) { a = x % 10; res = res * 10 + a; x /= 10; } return res; } void init(int ma) { remx.clear(), remy.clear(); for (int i = 1; i <= ma; i++) rev[i] = get_rev(i); for (int i = 1; i <= ma; i++) { d[i] = gcd(i, rev[i]); remy[make_pair(i / d[i], rev[i] / d[i])]++; } } void solve(int max_x, int max_y, int W) { bool flag = false; if (max_x > max_y) { swap(max_x, max_y); flag = true; } init(max_y); int x = 1, y = max_y; int now = remy[make_pair(1, 1)]; remx[make_pair(1, 1)]++; int ans_x = -1, ans_y = -1; while (x <= y) { while (x < y && x < max_x && now < W) { x++; remx[make_pair(rev[x] / d[x], x / d[x])]++; now += remy[make_pair(rev[x] / d[x], x / d[x])]; } if (now < W) break; if (ans_x == -1 || (long long)x * y < (long long)ans_x * ans_y) { ans_x = x, ans_y = y; } remy[make_pair(y / d[y], rev[y] / d[y])]--; now -= remx[make_pair(y / d[y], rev[y] / d[y])]; y--; } if (flag) swap(ans_x, ans_y); if (ans_x == -1) puts("-1"); else printf("%d %d\n", ans_x, ans_y); return; } int main() { int max_x, max_y, W; while (~scanf("%d %d %d", &max_x, &max_y, &W)) { solve(max_x, max_y, W); } return 0; }
#include <bits/stdc++.h> using namespace std; int gcd(int a, int b) { if (!b) return a; return gcd(b, a % b); } pair<int, int> flip(pair<int, int> p) { return make_pair(p.second, p.first); } int rev(int x) { int r = 0; for (; x; x /= 10) { r = r * 10 + x % 10; } return r; } pair<int, int> get(int x) { int rx = rev(x); int d = gcd(x, rx); pair<int, int> p(x / d, rx / d); return p; } int main() { int maxx, maxy, w; cin >> maxx >> maxy >> w; map<pair<int, int>, vector<int> > m; for (int i = 1; i <= 100000; ++i) { m[get(i)].push_back(i); } int y = maxy; int s = 0; int ansX = -1, ansY = -1; long long mn = 1LL << 60; for (int x = 1; x <= maxx; ++x) { pair<int, int> py = flip(get(x)); s += upper_bound((m[py]).begin(), (m[py]).end(), y) - m[py].begin(); while (y >= 1) { pair<int, int> px = flip(get(y)); int d = upper_bound((m[px]).begin(), (m[px]).end(), x) - m[px].begin(); if (s - d >= w) { s -= d; --y; } else { break; } } if (s >= w && (long long)x * y < mn) { mn = (long long)x * y; ansX = x; ansY = y; } } if (mn == 1LL << 60) puts("-1"); else printf("%d %d\n", ansX, ansY); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100000; vector<int> p[maxn + 10]; map<int, int> l[maxn + 10], r[maxn + 10]; int pre[maxn + 10]; map<map<int, int>, int> s1, s2; void prepare() { memset(pre, 0, sizeof(pre)); for (int i = 2; i <= maxn; ++i) if (!pre[i]) { pre[i] = i; for (int j = i + i; j <= maxn; j += i) pre[j] = i; } for (int i = 2; i <= maxn; ++i) { if (pre[i]) p[i] = p[i / pre[i]]; p[i].push_back(pre[i]); } map<int, int> tmp; for (int i = 1; i <= maxn; ++i) { int j = 0, k = i; while (k) { j = j * 10 + k % 10; k /= 10; } tmp.clear(); for (int k = 0; k != p[i].size(); ++k) ++tmp[p[i][k]]; for (int k = 0; k != p[j].size(); ++k) --tmp[p[j][k]]; for (map<int, int>::iterator iter = tmp.begin(); iter != tmp.end(); ++iter) if (iter->second != 0) l[i][iter->first] = iter->second; tmp.clear(); for (int k = 0; k != p[i].size(); ++k) --tmp[p[i][k]]; for (int k = 0; k != p[j].size(); ++k) ++tmp[p[j][k]]; for (map<int, int>::iterator iter = tmp.begin(); iter != tmp.end(); ++iter) if (iter->second != 0) r[i][iter->first] = iter->second; } } int main() { prepare(); int maxx, maxy, w; cin >> maxx >> maxy >> w; for (int i = 1; i <= maxx; ++i) ++s1[l[i]]; long long retx = 0, rety = 0; long long cnt = 0; for (long long i = maxx, j = 0; i > 0; --i) { while (j < maxy && cnt < w) { ++j; cnt += s1[r[j]]; ++s2[r[j]]; } if (cnt < w) break; if (i * j < retx * rety || retx * rety < w) { retx = i; rety = j; } cnt -= s2[l[i]]; --s1[l[i]]; } if (retx * rety < w) cout << -1; else cout << retx << " " << rety; return 0; }
#include <bits/stdc++.h> using namespace std; int rev(int x) { int res = 0; while (x > 0) res *= 10, res += x % 10, x /= 10; return res; } int gcd(int a, int b) { if (b == 0) return a; return gcd(b, a % b); } pair<int, int> pt(int a, int b) { int g = gcd(a, b); return make_pair(a / g, b / g); } int main() { long long res = 1000000000000LL, rx, ry; int maxx, maxy, w, cur = 0; cin >> maxx >> maxy >> w; map<pair<int, int>, int> mx, my; for (int _n((maxx)), i(1); i <= _n; i++) mx[pt(i, rev(i))]++; for (int _n((maxy)), i(1); i <= _n; i++) my[pt(rev(i), i)]++; for (map<pair<int, int>, int>::iterator it = mx.begin(); it != mx.end(); it++) cur += it->second * my[it->first]; int cx = maxx, cy = maxy; if (cur < w) { cout << -1 << endl; return 0; } rx = cx; ry = cy; res = (long long)(cx)*cy; while (cx >= 1) { pair<int, int> cd = pt(cx, rev(cx)); if (cur - my[cd] >= w) { mx[cd]--; cur -= my[cd]; cx--; } else break; } while (cx <= maxx && cy >= 1) { if (res > (long long)(cx)*cy) { res = (long long)(cx)*cy; rx = cx; ry = cy; } if (cy == 1 || cx == maxx) break; pair<int, int> a = pt(cx + 1, rev(cx + 1)); pair<int, int> b = pt(rev(cy), cy); if (cur - mx[b] >= w) { my[b]--; cur -= mx[b]; cy--; } else { mx[a]++; cur += my[a]; cx++; } } cout << rx << " " << ry << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int Maxn = 100 * 1000 + 10; map<long double, pair<int, int> > mp; int rev[Maxn]; int w, m, n; long long mn = 1ll << 60; pair<int, int> ret; void Rev(); map<long double, pair<int, int> >::iterator it; int main() { cin >> n >> m >> w; Rev(); for (int i = 1; i <= n; i++) mp[(long double)i / rev[i]].first++; int p = 0, sum = 0; for (int i = n; i > 0; i--) { while (sum < w && p <= m) { p++; it = mp.find((long double)rev[p] / p); if (it != mp.end()) { sum += (*it).second.first; (*it).second.second++; } } if (p < m + 1 && mn > (long long)i * p) mn = (long long)i * p, ret = pair<int, int>(i, p); it = mp.find((long double)i / rev[i]); if (it != mp.end()) { sum -= (*it).second.second; (*it).second.first--; if (!(*it).second.first) mp.erase(it); } } if (mn == 1ll << 60) cout << -1 << endl; else cout << ret.first << " " << ret.second << endl; return 0; } void Rev() { for (int i = 1; i <= max(n, m); i++) { int t = i; while (t) { rev[i] *= 10; rev[i] += t % 10; t /= 10; } } }
#include <bits/stdc++.h> using namespace std; int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } pair<int, int> divide(int a, int b) { assert(a >= 1 && b >= 1); int d = gcd(a, b); return make_pair(a / d, b / d); } template <typename T> class fenv_tree { vector<T> tr; int f(int x) { return x - (x & (x - 1)); } public: fenv_tree(int n) { tr = vector<T>(n + 1); } void add(int x, const T &v) { x++; for (; x < tr.size(); x += f(x)) tr[x] += v; } T get(int x) { x++; T val; for (; x > 0; x -= f(x)) val += tr[x]; return val; } }; const int MAXN = 1e5; int rev[MAXN + 1]; int main() { for (int i = 0; i <= MAXN; i++) { int x = i, y = 0; for (; x; x /= 10) y = y * 10 + x % 10; rev[i] = y; } assert(rev[12345] == 54321); assert(rev[1200] == 21); int mx, my, w; while (scanf("%d%d%d", &mx, &my, &w) >= 1) { map<pair<int, int>, vector<int> > cnts; for (int b = 1; b <= my; b++) { pair<int, int> cur = divide(rev[b], b); cnts[cur].push_back(b); } long long ans = 1e18; int ax = -1, ay = -1; fenv_tree<long long> tr(my + 1); for (int a = 1; a <= mx; a++) { pair<int, int> cur = divide(a, rev[a]); for (int i = 0; i < cnts[cur].size(); i++) tr.add(cnts[cur][i], 1); if (tr.get(my) >= w) { int L = 0, R = my; while (L + 1 < R) { int M = (L + R) / 2; if (tr.get(M) >= w) R = M; else L = M; } if ((long long)a * R < ans) { ans = (long long)a * R; ax = a; ay = R; } } } if (ax < 0) printf("-1\n"); else printf("%d %d\n", ax, ay); break; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 110000; int ele[100]; int gcd(int a, int b) { if (b == 0) return a; return gcd(b, a % b); } int rev(int x) { int l = 0; while (x) { ele[++l] = x % 10; x /= 10; } for (int i = 1; i <= l; i++) { x = x * 10 + ele[i]; } return x; } struct Solve { map<int, int> fac[MAXN]; int now; void init(int x) { for (int i = 1; i <= x; i++) fac[i].clear(); now = 0; } void add() { now++; int a = now, b = rev(now); int c = gcd(a, b); b /= c; a /= c; fac[b][a]++; } void del() { int a = now, b = rev(now); int c = gcd(a, b); a /= c; b /= c; fac[b][a]--; now--; } int calc(int x) { int a = x, b = rev(x); int c = gcd(a, b); a /= c; b /= c; return fac[a][b]; } } solve[2]; int ansx, ansy; long long ans = (1ll << 60); int main() { int mx, my, k; scanf("%d %d %d", &mx, &my, &k); solve[0].init(mx); solve[1].init(my); long long now = 0; for (int i = 1; i <= my; i++) { solve[1].add(); } for (int i = 1; i <= mx; i++) { now += solve[1].calc(i); solve[0].add(); while (1) { if (solve[1].now == 0) break; int tmp = solve[0].calc(solve[1].now); if (now - tmp >= k) { solve[1].del(); now -= tmp; } else { break; } } if (now >= k && (long long)solve[0].now * solve[1].now < ans) { ans = (long long)solve[0].now * solve[1].now; ansx = solve[0].now; ansy = solve[1].now; } } if (ans == (1ll << 60)) { printf("-1\n"); } else { printf("%d %d\n", ansx, ansy); } return 0; }
#include <bits/stdc++.h> using namespace std; static const double EPS = 1e-9; int ROUND(double x) { return (int)(x + 0.5); } bool ISINT(double x) { return fabs(ROUND(x) - x) <= EPS; } bool ISEQUAL(double x, double y) { return fabs(x - y) <= EPS * max(1.0, max(fabs(x), fabs(y))); } double SQSUM(double x, double y) { return x * x + y * y; } template <class T> bool INRANGE(T x, T a, T b) { return a <= x && x <= b; } const int MAX_N = 100005; int bit[MAX_N + 1]; void bit_add(int xi, int v) { for (int x = xi; x <= MAX_N; x += x & -x) { bit[x] += v; } } long long bit_sum(int xi) { long long ret = 0; for (int x = xi; x >= 1; x -= x & -x) { ret += bit[x]; } return ret; } int rev(int x) { int ret = 0; bool start = false; while (x) { if (start) ret *= 10; if (x % 10) start = true; ret += x % 10; x /= 10; } return ret; } long long gcd(long long x, long long y) { long long t; while (y != 0) { t = x % y; x = y; y = t; } return x; } int main() { int X, Y, W; scanf("%d%d%d", &X, &Y, &W); map<pair<int, int>, vector<int> > mp; for (int a = 1; a <= 100000; a++) { int bunshi = a; int bunbo = rev(a); int gc = (int)gcd(bunshi, bunbo); bunshi /= gc; bunbo /= gc; mp[make_pair(bunshi, bunbo)].push_back(a); } const long long LBIG = 98765432198765LL; long long ab = LBIG; int besta = 0; int bestb = 0; memset(bit, 0, sizeof(bit)); for (int a = 1; a <= X; a++) { int bunshi = rev(a); int bunbo = a; int gc = (int)gcd(bunshi, bunbo); bunshi /= gc; bunbo /= gc; for (int i = 0; i < ((int)mp[make_pair(bunshi, bunbo)].size()); i++) { bit_add(mp[make_pair(bunshi, bunbo)][i], 1); } { int lo = 0; int hi = Y; while (lo < hi) { int mid = lo + (hi - lo) / 2LL; if (bit_sum(mid) >= W) { hi = mid; } else { lo = mid + 1; } } if (bit_sum(lo) >= W) { if (ab > (long long)a * lo) { ab = (long long)a * lo; besta = a; bestb = lo; } } } } if (ab == LBIG) { printf("-1\n"); } else { printf("%d %d\n", besta, bestb); } return 0; }
#include <bits/stdc++.h> bool DEBUG = false; using namespace std; int rev(int arg) { int res = 0; while (arg > 0) { res = res * 10 + (arg % 10); arg /= 10; } return res; } int gcd(int a, int b) { return a % b == 0 ? b : gcd(b, a % b); } int maxx, maxy, w, ax, ay, x, y, n, t; pair<int, int> mas[200000], r[200000]; map<pair<int, int>, int> mp, dup; int main() { cin >> maxx >> maxy >> w; ax = ay = -1; n = ((maxx) > (maxy) ? (maxx) : (maxy)); for (int i = (1); i <= (n); ++i) { mas[i] = make_pair(i, rev(i)); t = gcd(mas[i].first, mas[i].second); mas[i].first /= t; mas[i].second /= t; r[i] = make_pair(mas[i].second, mas[i].first); } for (int i = (1); i <= (maxx); ++i) if (mp.find(mas[i]) == mp.end()) mp[mas[i]] = 1; else mp[mas[i]]++; if (DEBUG) { for (map<pair<int, int>, int>::iterator it = mp.begin(); it != mp.end(); it++) { pair<pair<int, int>, int> p = *it; cout << "(" << p.first.first << ";" << p.first.second << ") " << p.second << ": "; for (int i = (1); i <= (maxx); ++i) if (mas[i] == p.first) cout << i << " "; cout << endl; } } int res = 0; int cur = 0; x = maxx; y = 0; while (x > 0) { if (res < w) { y++; while (y <= maxy) { res += mp[r[y]]; dup[r[y]]++; if (DEBUG) { cout << "res" << ": " << (res) << endl; }; if (res >= w) break; y++; } } if (DEBUG) { cout << "After shift" << endl; }; if (DEBUG) { cout << "x" << ": " << (x) << endl; }; if (DEBUG) { cout << "y" << ": " << (y) << endl; }; if (DEBUG) { cout << "res" << ": " << (res) << endl; }; if (y > maxy) break; if (ax == -1 || x * y < ax * ay) { ax = x; ay = y; } if (DEBUG) { cout << "ax" << ": " << (ax) << endl; }; if (DEBUG) { cout << "ay" << ": " << (ay) << endl; }; res -= dup[mas[x]]; if (DEBUG) { cout << "dup[mas[x]]" << ": " << (dup[mas[x]]) << endl; }; mp[mas[x]]--; x--; } if (ax == -1) puts("-1"); else cout << ax << " " << ay << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long long Inf = (long long)1e16; const int N = 101000; int x, y, w, a[N], b[N]; int gcd(int a, int b) { return b == 0 ? a : gcd(b, a % b); } int calc(int x) { int ret = 0; while (x) { ret = ret * 10 + x % 10; x /= 10; } return ret; } void init() { for (int i = 1; i < N; i++) { a[i] = i; b[i] = calc(i); int g = gcd(a[i], b[i]); a[i] /= g; b[i] /= g; } } int main() { init(); cin >> x >> y >> w; map<pair<int, int>, int> m1, m2; int p, total = 0; for (p = 1; p <= x; p++) { m1[make_pair(b[p], a[p])]++; } p = x; int ax = -1, ay = -1; long long pro = Inf; for (int i = 1; i <= y; i++) { m2[make_pair(a[i], b[i])]++; total += m1[make_pair(a[i], b[i])]; while (p > 1 && total - m2[make_pair(b[p], a[p])] >= w) { total -= m2[make_pair(b[p], a[p])]; m1[make_pair(b[p], a[p])]--; p--; } if (total >= w && pro > (long long)p * i) { ax = p; ay = i; pro = (long long)p * i; } } if (pro == Inf) { puts("-1"); } else { printf("%d %d\n", ax, ay); } return 0; }
#include <bits/stdc++.h> using namespace std; int mx, mn, w, x, y, ansx, ansy, co = 0; int rev(int k) { int p = 0; while (k > 0) { p = p * 10 + (k % 10); k /= 10; } return p; } int main() { map<double, int> m1; map<double, int> m2; double q; cin >> mx; cin >> mn; cin >> w; for (x = 1; x <= mx; x++) { q = (double)(x * 1.0 / rev(x)); m1[q]++; } x = mx; y = 0; co = 0; while (y <= mn && x >= 1) { if (co < w) { y++; q = (double)((rev(y) * 1.0) / y); co += m1[q]; m2[q]++; } else { if (ansx * ansy > x * y || ansx == 0) { ansx = x; ansy = y; } q = (double)((x * 1.0) / rev(x)); co -= m2[q]; m1[q]--; x--; } } if (ansx == 0) cout << -1; else cout << ansx << " " << ansy; }
#include <bits/stdc++.h> using namespace std; int mx, my, w, cnt, px, py, rx, ry, dp[100010]; double t; map<double, int> ma, mb; long long res = 10000000000000; int rev(int a) { if (dp[a] != 0) return dp[a]; int ret = 0; while (a) { ret *= 10; ret += a % 10; a /= 10; } return dp[a] = ret; } int main() { cin >> mx >> my >> w; for (int i = 1; i <= my; i++) mb[(rev(i) * 1.0 / i)]++; for (int i = 1; i <= mx; i++) cnt += mb[i * 1.0 / rev(i)]; if (cnt < w) { cout << -1 << endl; return 0; } cnt = mb[1.0]; py = my; ma[1.0]++; px = 1; while (py >= 1 && px <= mx) { if (cnt >= w) { if (res > (long long)px * py) { res = (long long)px * py; rx = px; ry = py; } t = rev(py) * 1.0 / py; cnt -= ma[t]; mb[t]--; py--; } else { px++; t = px * 1.0 / rev(px); cnt += mb[t]; ma[t]++; } } cout << rx << " " << ry << endl; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:100000000000000") using namespace std; const long long int INF = 2e15; int rev(int a) { vector<int> temp; while (a) { temp.push_back(a % 10); a /= 10; } int sz = (int)temp.size(); for (int i = (int)temp.size() - 1; i >= 0; i--) { if (temp[i] == '0') sz = i; else break; } temp.resize(sz); reverse(temp.begin(), temp.end()); int last = 1; int out = 0; for (int i = 0; i < ((int)temp.size()); i++) { out += temp[i] * last; last *= 10; } return out; } int gcd(int a, int b) { return b ? gcd(b, a % b) : a; } map<pair<int, int>, vector<int> > cnt; void pre(int to) { for (int i = 1; i <= to; i++) { int f = rev(i); int s = i; int gc = gcd(f, s); f /= gc; s /= gc; cnt[make_pair(f, s)].push_back(i); } } long long int fen[1000000]; void inc(int id, int n) { for (; id <= n; id += ((id + 1) & -(id + 1))) { fen[id]++; } } long long int geti(int id) { long long int out = 0; for (; id >= 0; id -= ((id + 1) & -(id + 1))) { out += fen[id]; } return out; } void upd(long long int &r1, int &outx, int &outy, int w, int w2) { long long int r2 = (long long int)w * 1LL * (long long int)w2; if (r2 < r1) { r1 = r2; outx = w; outy = w2; } } int main() { int mx, my, w; cin >> mx >> my >> w; pre(my); memset(fen, 0, sizeof fen); int outx = -1, outy = -1; long long int r1 = INF; for (int i = 1; i <= mx; i++) { int f = i; int s = rev(f); int gc = gcd(f, s); f /= gc; s /= gc; map<pair<int, int>, vector<int> >::iterator it = cnt.find(make_pair(f, s)); if (it == cnt.end()) continue; int last = 1; long long int val; for (int j = 0; j < ((int)it->second.size()); j++) { int to = it->second[j]; val = geti(to - 1); if (val >= w && last <= to - 1) { int l = last, r = to - 1; while (l != r) { int mid = (l + r) / 2; val = geti(mid); if (val < w) l = mid + 1; else r = mid; } upd(r1, outx, outy, i, l); } last = to; inc(to, my); val = geti(to); if (val >= w) { upd(r1, outx, outy, i, to); } } val = geti(my); if (val >= w) { int l = last, r = my; while (l != r) { int mid = (l + r) / 2; val = geti(mid); if (val < w) l = mid + 1; else r = mid; } upd(r1, outx, outy, i, l); } } if (outx == -1) { cout << -1; } else { cout << outx << " " << outy; } }
#include <bits/stdc++.h> using namespace std; const int N = 100000 + 7; const int M = 300; const int mod = 999983; const int inf = 1e9 + 7; const double pi = acos(-1); const int maxn = N * 2; const double PI = acos(-1); int rev(int x) { int nw = 0; while (x) { nw = nw * 10 + (x % 10); x /= 10; } return nw; } int gcd(int u, int v) { return (u == 0) ? v : gcd(v % u, u); } map<pair<int, int>, int> st; map<pair<int, int>, int> pre; int n, m, w; pair<int, int> get(int u) { int v = rev(u); int d = gcd(u, v); u /= d; v /= d; return make_pair(u, v); } void solve() { cin >> n >> m >> w; for (int i = 1; i <= m; i++) { st[get(i)]++; } long long ans = (long long)inf * inf; long long cur = 0; int l = -1, r = -1; for (int i = 1; i <= n; i++) { int u = i, v = rev(i); int d = gcd(u, v); u /= d; v /= d; pre[make_pair(v, u)]++; cur += st[make_pair(v, u)]; while (m > 0 && cur - pre[get(m)] >= w) { cur -= pre[get(m)]; st[get(m)]--; m--; } if (cur >= w && (long long)i * m < ans) { l = i; r = m; ans = min(ans, (long long)l * r); } } if (l == -1) puts("-1"); else cout << l << " " << r; } int main() { int T = 1; for (int i = (1); i < (T + 1); i++) { solve(); } }
#include <bits/stdc++.h> using namespace std; map<double, int> mp1, mp2; int rev(int k) { int p = 0; while (k > 0) { p = p * 10 + (k % 10); k /= 10; } return p; } int main() { double q; int MaxX, MaxY, w, ansx = 0, ansy = 0, x, y, cnt; cin >> MaxX >> MaxY >> w; for (x = 1; x <= MaxX; x++) { q = (double)(x * 1.0 / rev(x)); mp1[q]++; } x = MaxX; y = 0; cnt = 0; while (y <= MaxY && x >= 1) { if (cnt < w) { y++; q = (double)((1.0 * rev(y)) / y); cnt += mp1[q]; mp2[q]++; } else { if (ansx * ansy > x * y || ansx == 0) { ansx = x; ansy = y; } q = (double)((x * 1.0) / rev(x)); cnt -= mp2[q]; mp1[q]--; x--; } } if (ansx == 0) cout << -1; else cout << ansx << ' ' << ansy; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 100000 + 10; int rev(int x) { int ret = 0; while (x != 0) { ret = ret * 10 + x % 10; x /= 10; } return ret; } int gcd(int x, int y) { return x == 0 ? y : gcd(y % x, x); } pair<int, int> f[MAXN]; map<pair<int, int>, int> cnt, cntr; void init() { for (int i = 1; i < MAXN; ++i) { int y = rev(i); int g = gcd(i, y); f[i] = make_pair(i / g, y / g); } } inline pair<int, int> rev(const pair<int, int> &p) { return make_pair(p.second, p.first); } int main() { int mx, my, mw; init(); scanf("%d%d%d", &mx, &my, &mw); int x = mx + 1, y = my + 1; cnt.clear(); cntr.clear(); for (int i = 1; i <= my; ++i) { cnt[f[i]]++; } long long w = 0; for (int i = 1, j = my; i <= mx; ++i) { cntr[f[i]]++; w += cnt[rev(f[i])]; if (w < mw) { continue; } while (j > 0 && w - cntr[rev(f[j])] >= mw) { w -= cntr[rev(f[j])]; cnt[f[j]]--; j--; } if ((long long)i * j < (long long)x * y) { x = i; y = j; } } if (x != mx + 1) { printf("%d %d\n", x, y); } else { puts("-1"); } return 0; }
#include <bits/stdc++.h> using namespace std; map<pair<int, int>, int> A, B; int maxx, maxy; long long w, ansx = 100001, ansy = 100001; int gcd(int x, int y) { if (y == 0) return x; return gcd(y, x % y); } int rev(int x) { int tmp = 0; while (x) { tmp = tmp * 10 + x % 10; x /= 10; } return tmp; } int main() { scanf("%d%d%d", &maxx, &maxy, &w); for (int j = 1; j <= maxy; j++) { int g = gcd(rev(j), j), revj = rev(j); B[make_pair(revj / g, j / g)]++; } long long cnt = 0; int j = maxy, i; for (i = 1; i <= maxx; i++) { int g = gcd(rev(i), i), revi = rev(i); pair<int, int> tmp; tmp = make_pair(i / g, revi / g); A[tmp]++; cnt += B[tmp]; while (1) { int g = gcd(rev(j), j), revj = rev(j); pair<int, int> tmp; tmp = make_pair(revj / g, j / g); if (cnt - A[tmp] < w) break; cnt -= A[tmp]; B[tmp]--; j--; } if (cnt >= w) if ((long long)i * j < ansx * ansy || (long long)i * j == ansx * ansy && i < ansx) ansx = i, ansy = j; } if (ansx <= maxx) printf("%I64d %I64d\n", ansx, ansy); else printf("-1"); return 0; }
#include <bits/stdc++.h> using namespace std; const int P = 1000003; const int maxn = 100005; struct Node { long long a, b; bool operator<(const Node node) const { return a * node.b < b * node.a; } Node() {} Node(long long a, long long b) : a(a), b(b) {} } a[maxn]; map<Node, int> M; map<Node, vector<int> > MV; int A, B, W; long long C[maxn]; inline int lowbit(int x) { return x & (-x); } void cha(int pos, int sz, long long val) { while (pos <= sz) { C[pos] += val; pos += lowbit(pos); } } long long he(int pos) { long long r = 0; while (pos > 0) { r += C[pos]; pos -= lowbit(pos); } return r; } int rev(int x) { int r = 0; while (x) { r = r * 10 + (x % 10); x /= 10; } return r; } int R[maxn]; vector<int> vc[maxn]; void pre() { int i; for (i = 1; i < maxn; ++i) R[i] = rev(i); for (i = 1; i < maxn; ++i) a[i] = Node(i, R[i]); MV.clear(); for (i = 1; i < maxn; ++i) { MV[Node(R[i], i)].push_back(i); } for (i = 1; i < maxn; ++i) { Node now = Node(i, R[i]); if (MV.find(now) != MV.end()) vc[i] = MV[Node(i, R[i])]; } } pair<long long, long long> best, now; void update(pair<long long, long long> a, pair<long long, long long> &best) { if (best.first < 0) best = a; else if (a.first * a.second < best.first * best.second) best = a; } void gao() { memset(C, 0, sizeof C); int i, j; best = make_pair(-1, -1); for (i = 1; i <= A; ++i) { for (j = 0; j < vc[i].size(); ++j) { cha(vc[i][j], B, 1); } int l, r, mid; l = 1; r = B; mid = (l + r) >> 1; while (l < r) { mid = (l + r) >> 1; long long ct = he(mid); if (ct < W) l = mid + 1; else r = mid - 1; } mid = min(B, mid + 2); while (he(mid) >= W) --mid; ++mid; if (mid <= B) { update(make_pair(i, mid), best); } } if (best.first < 0) puts("-1"); else cout << best.first << ' ' << best.second << endl; } int main() { pre(); while (cin >> A >> B >> W) { gao(); } return 0; }
#include <bits/stdc++.h> using namespace std; int i, j, k, n, m, K, an1, an2; map<double, int> Map1, Map2; long long mi, sum; inline int get(int x) { int s = 0; for (; x; x /= 10) s = s * 10 + x % 10; return s; } int main() { scanf("%d%d%d", &n, &m, &K); for (i = 1; i <= n; i++) Map1[1. * get(i) / i]++; mi = (long long)1e15; j = n; for (i = 1; i <= m; i++) { sum += Map1[1. * i / get(i)]; Map2[1. * i / get(i)]++; for (; j > 1;) { int A = Map2[1. * get(j) / j]; if (sum - A >= K) { sum -= A; Map1[1. * get(j) / j]--; j--; } else break; } if (sum >= K && 1ll * i * j < mi) mi = 1ll * i * j, an1 = j, an2 = i; } if (mi == 1e15) printf("-1\n"); else printf("%d %d\n", an1, an2); return 0; }
#include <bits/stdc++.h> using namespace std; pair<int, int> dp[10005]; int a[105], b[105]; int main() { int n; scanf("%d", &n); int cap = 0, mx = 0; for (int i = 0; i < n; i++) { scanf("%d", &a[i]); cap += a[i]; } for (int i = 0; i < n; i++) { scanf("%d", &b[i]); mx += b[i]; } for (int i = 1; i <= mx; i++) dp[i] = make_pair(-1, -1); for (int i = 0; i < n; i++) { for (int j = mx; j >= 0; j--) { if (dp[j].first == -1) continue; int nxt = j + b[i]; if (dp[nxt].first == -1) dp[nxt] = make_pair(dp[j].first + 1, dp[j].second + a[i]); else if (dp[nxt].first > dp[j].first + 1) dp[nxt] = make_pair(dp[j].first + 1, dp[j].second + a[i]); else if (dp[nxt].first == dp[j].first + 1) dp[nxt].second = max(dp[nxt].second, dp[j].second + a[i]); } } pair<int, int> mn = make_pair((int)1e9, 0); for (int i = cap; i <= mx; i++) { if (dp[i].first == -1) continue; if (dp[i].first < mn.first) mn = dp[i]; else if (dp[i].first == mn.first) mn.second = max(mn.second, dp[i].second); } printf("%d %d\n", mn.first, cap - mn.second); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100, V = 100; struct bottle { int a, b; bool operator<(const bottle &bt) const { return b > bt.b; } } bot[N + 1]; int dp[N + 1][N * V + 1]; int main() { int n, shui = 0; scanf("%d", &n); for (int i = 1; i <= n; ++i) { scanf("%d", &bot[i].a); shui += bot[i].a; } for (int j = 1; j <= n; ++j) scanf("%d", &bot[j].b); sort(bot + 1, bot + n + 1); int ping = 0; for (int i = 1, w = shui; w > 0; ++i) { w -= bot[i].b; ++ping; } memset(dp, -1, sizeof dp); dp[0][0] = 0; for (int i = 1; i <= n; ++i) for (int j = ping; j; --j) for (int k = shui; k >= bot[i].a; --k) if (~dp[j - 1][k - bot[i].a]) dp[j][k] = max(dp[j][k], dp[j - 1][k - bot[i].a] + bot[i].b); int mx = 0; for (int i = shui; ~i; --i) if (dp[ping][i] >= shui) { mx = i; break; } printf("%d %d\n", ping, shui - mx); return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1e9 + 5; const int N = 105; int a[N], b[N], n, sum; int dp[2][N * N][N]; int main() { scanf("%d", &n); sum = 0; for (int i = 1; i <= n; i++) { scanf("%d", a + i); sum += a[i]; } for (int i = 1; i <= n; i++) scanf("%d", b + i); for (int j = 0; j <= sum; j++) for (int k = 0; k <= n; k++) dp[0][j][k] = -INF; dp[0][0][0] = 0; for (int i = 1; i <= n; i++) for (int j = 0; j <= sum; j++) for (int k = 0; k <= n; k++) { dp[i & 1][j][k] = dp[i & 1 ^ 1][j][k]; if (k) dp[i & 1][j][k] = max(dp[i & 1][j][k], dp[i & 1 ^ 1][max(j - b[i], 0)][k - 1] + a[i]); } for (int k = 0; k <= n; k++) { if (dp[n & 1][sum][k] >= 0) { printf("%d %d\n", k, sum - dp[n & 1][sum][k]); break; } } return 0; }
#include <bits/stdc++.h> inline int Max(const int x, const int y) { return x > y ? x : y; } int a[100 + 5], b[100 + 5], n, m, f[10000 + 42], g[10000 + 42], ans; int main() { scanf("%d", &n); for (register int i = 1; i <= n; ++i) scanf("%d", &a[i]); for (register int i = 1; i <= n; ++i) scanf("%d", &b[i]); for (register int i = 1; i <= n; ++i) m += a[i]; for (register int i = m + 100; i >= 1; --i) f[i] = n; for (register int i = 1; i <= n; ++i) for (register int j = m + 100; j >= b[i]; --j) if (f[j - b[i]] + 1 < f[j]) { f[j] = f[j - b[i]] + 1; g[j] = g[j - b[i]] + a[i]; } else if (f[j - b[i]] + 1 == f[j]) g[j] = Max(g[j], g[j - b[i]] + a[i]); f[0] = n; for (register int i = m + 100; i >= m; --i) if (f[ans] > f[i]) ans = i; else if (f[ans] == f[i] && g[ans] < g[i]) ans = i; printf("%d %d", f[ans], m - g[ans]); return 0; }
#include <bits/stdc++.h> using namespace std; bool cmp(int x, int y) { return x > y; } int n, lft, num, tot, ans; int a[101], b[101], d[101], dp[101][10001]; int main() { cin >> n; for (int i = 1; i <= n; i++) cin >> a[i], lft += a[i]; for (int i = 1; i <= n; i++) cin >> b[i], d[i] = b[i]; sort(d + 1, d + 1 + n, cmp); memset(dp, 128, sizeof(dp)); dp[0][0] = 0; for (int i = 1; i <= n; i++) { tot += d[i]; if (tot >= lft) { num = i; break; } } for (int i = 1; i <= n; i++) for (int j = tot; j >= b[i]; j--) for (int k = 1; k <= num; k++) dp[k][j] = max(dp[k][j], dp[k - 1][j - b[i]] + a[i]); for (int i = lft; i <= tot; i++) ans = max(ans, dp[num][i]); cout << num << " " << lft - ans << endl; return 0; }
#include <bits/stdc++.h> const int N = 105; using namespace std; int a[N], b[N], c[N], f[N][N * N]; int main() { int n, i, j, k, m, t, v = 0, s = 0; scanf("%d", &n); for (i = 0; i < n; i++) { scanf("%d", &a[i]); s += a[i]; } for (i = 0; i < n; i++) { scanf("%d", &b[i]); c[i] = b[i]; v += b[i]; } sort(c, c + n); m = 0; t = 0; for (i = n - 1; i >= 0; i--) { t += c[i]; m++; if (t >= s) break; } memset(f, -1, sizeof(f)); f[0][0] = 0; for (i = 0; i < n; i++) for (j = m - 1; j >= 0; j--) for (k = v; k >= 0; k--) if (f[j][k] != -1) f[j + 1][k + b[i]] = max(f[j + 1][k + b[i]], f[j][k] + a[i]); int maxm = -1; for (i = s; i <= v; i++) maxm = max(maxm, f[m][i]); printf("%d %d\n", m, s - maxm); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 50; const double eps = 1e-8; const int inf = 0x3f3f3f3f; const long long lnf = 0x3f3f3f3f3f3f3f3f; const long long mod = 998244353; struct node { int a, b; } p[105]; int dp[105][10050]; bool cmp(node A, node B) { return A.b > B.b; } int main() { int n; int sum = 0; scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d", &p[i].a); sum += p[i].a; } for (int i = 1; i <= n; i++) scanf("%d", &p[i].b); int cnt = 0; sort(p + 1, p + 1 + n, cmp); int temp = sum; for (int i = 1; i <= n; i++) { if (temp > 0) { temp -= p[i].b; cnt++; } else break; } memset(dp, -inf, sizeof(dp)); dp[0][0] = 0; printf("%d ", cnt); for (int i = 1; i <= n; i++) { for (int j = sum; j >= p[i].a; j--) { for (int k = i; k >= 1; k--) { if (dp[k - 1][j - p[i].a] != -inf) dp[k][j] = max(dp[k][j], dp[k - 1][j - p[i].a] + p[i].b); } } } for (int i = sum; i >= 1; i--) { if (dp[cnt][i] >= sum) { printf("%d\n", sum - i); return 0; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 105; int n, sum1, sum2; int dp[maxn][maxn * maxn]; struct node { int a, b; bool operator<(const node& i) const { return i.b < b; } } p[maxn]; void Inite() { memset(dp, -1, sizeof(dp)); dp[0][0] = 0; } void Solve() { int tem = 0, q = 1; for (int i = 1; i <= n; i++) { tem += p[i].b; q = i; if (tem >= sum1) break; } for (int i = 1; i <= n; i++) for (int j = q; j >= 1; j--) for (int k = sum2; k >= p[i].b; k--) if (~dp[j - 1][k - p[i].b]) dp[j][k] = max(dp[j][k], dp[j - 1][k - p[i].b] + p[i].a); int ans = 0; for (int i = sum1; i <= sum2; i++) ans = max(ans, dp[q][i]); cout << q << " " << sum1 - ans << endl; } int main() { cin >> n; Inite(); sum1 = sum2 = 0; for (int i = 1; i <= n; i++) { cin >> p[i].a; sum1 += p[i].a; } for (int i = 1; i <= n; i++) { cin >> p[i].b; sum2 += p[i].b; } sort(p + 1, p + n + 1); Solve(); }
#include <bits/stdc++.h> using namespace std; int a[105], dp[105][10005], b[105]; int np, t, n, i, j, k, sy, v; int main() { scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d", &a[i]); sy += a[i]; } for (i = 1; i <= n; i++) { scanf("%d", &b[i]); v += b[i]; } memset(dp, -1, sizeof(dp)); dp[0][0] = 0; for (i = 1; i <= n; i++) { for (j = n; j >= 1; j--) { for (k = v; k >= b[i]; k--) if (dp[j - 1][k - b[i]] != -1) dp[j][k] = max(dp[j][k], dp[j - 1][k - b[i]] + a[i]); } } t = -1; for (i = 1; i <= n; i++) { for (j = sy; j <= v; j++) t = max(t, dp[i][j]); if (t != -1) { printf("%d %d", i, sy - t); break; } } return 0; }
#include <bits/stdc++.h> using namespace std; int dp[105][105 * 105]; int n, k, sum; struct node { int a, b; bool operator<(const node &a) const { return b > a.b; } } p[105]; int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> p[i].a; sum += p[i].a; } for (int i = 1; i <= n; i++) cin >> p[i].b; sort(p + 1, p + 1 + n); int tot = 0; for (int i = 1; i <= n; i++) { tot += p[i].b; if (tot >= sum) { k = i; break; } } memset(dp, -1, sizeof dp); dp[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = sum - p[i].a; j >= 0; j--) { for (int pre = i - 1; pre >= 0; pre--) if (dp[pre][j] != -1) { dp[pre + 1][j + p[i].a] = max(dp[pre + 1][j + p[i].a], dp[pre][j] + p[i].b); } } } int t; for (int i = sum; i; i--) { if (dp[k][i] >= sum) { t = i; break; } } printf("%d %d\n", k, sum - t); return 0; }
#include <bits/stdc++.h> using namespace std; int s[100], dp[101][10001]; int main() { int n; scanf("%d", &n); int ts = 0; for (int i = 0; i < (int)(n); ++i) scanf("%d", s + i), ts += s[i]; for (int i = 0; i < (int)(n + 1); ++i) for (int j = 0; j < (int)(10001); ++j) dp[i][j] = -1e9; dp[0][0] = 0; for (int i = 0; i < (int)(n); ++i) { int sz; scanf("%d", &sz); for (int j = i; j >= 0; --j) for (int k = sz; k < (int)(10001); ++k) dp[j + 1][k] = max(dp[j + 1][k], dp[j][k - sz] + s[i]); } for (int i = 1; i < (int)(n + 1); ++i) { int an = -1; for (int j = ts; j < (int)(10001); ++j) an = max(an, dp[i][j]); if (an >= 0) { printf("%d %d\n", i, ts - an); return 0; } } }
#include <bits/stdc++.h> using namespace std; struct Bottle { int water, all; inline bool operator<(const Bottle &x) const { return all > x.all; } }; int n, ans, sum, now, dp[10005][105], ans_time = -2147483647; Bottle bottle[105]; inline int read() { int ans = 0, f = 1; char in = getchar(); while (!(in >= '0' && in <= '9')) { if (in == '-') { f = !f; } in = getchar(); } while (in >= '0' && in <= '9') { ans = (ans << 1) + (ans << 3) + (in ^ '0'); in = getchar(); } return ans * f; } int main() { n = read(); for (register int i = 1; i <= n; i++) { bottle[i].water = read(); sum += bottle[i].water; } for (register int i = 1; i <= n; i++) { bottle[i].all = read(); } sort(bottle + 1, bottle + n + 1); while (now < sum) { ans++; now += bottle[ans].all; } printf("%d ", ans); memset(dp, 128, sizeof(dp)); dp[0][0] = 0; for (register int i = 1; i <= n; i++) { for (register int j = now; j >= bottle[i].all; j--) { for (register int k = 1; k <= ans; k++) { dp[j][k] = (dp[j][k] > dp[j - bottle[i].all][k - 1] + bottle[i].water ? dp[j][k] : dp[j - bottle[i].all][k - 1] + bottle[i].water); } } } for (register int i = sum; i <= now; i++) { ans_time = (ans_time > dp[i][ans] ? ans_time : dp[i][ans]); } printf("%d\n", sum - ans_time); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6; inline int getint() { int w = 0, q = 0; char c = getchar(); while ((c < '0' || c > '9') && c != '-') c = getchar(); if (c == '-') q = 1, c = getchar(); while (c >= '0' && c <= '9') w = w * 10 + c - '0', c = getchar(); return q ? -w : w; } int a[110]; int b[110]; int n; int dp[11000][2]; int main() { n = getint(); int sum = 0; for (int i = 0; i < n; i++) { a[i] = getint(); sum += a[i]; } for (int i = 0; i < n; i++) { b[i] = getint(); } for (int i = 0; i <= sum; i++) { dp[i][0] = 0X3F7F7F7F; dp[i][1] = 0; } dp[0][0] = 0; for (int i = 0; i < n; i++) { for (int j = sum; j > 0; j--) { int t = max(j - b[i], 0); if (dp[j][0] > dp[t][0] + 1) { dp[j][0] = dp[t][0] + 1; dp[j][1] = dp[t][1] + a[i]; } else if (dp[j][0] == dp[t][0] + 1 && dp[j][1] < dp[t][1] + a[i]) { dp[j][1] = dp[t][1] + a[i]; } } } printf("%d %d\n", dp[sum][0], sum - dp[sum][1]); return 0; }
#include <bits/stdc++.h> using namespace std; static const int INF = 0x3f3f3f3f; static const long long INFL = 0x3f3f3f3f3f3f3f3fLL; template <typename T, typename U> static void amin(T &x, U y) { if (y < x) x = y; } template <typename T, typename U> static void amax(T &x, U y) { if (x < y) x = y; } int main() { int n; while (~scanf("%d", &n)) { vector<int> a(n); for (int i = 0; i < n; ++i) scanf("%d", &a[i]); vector<int> b(n); for (int i = 0; i < n; ++i) scanf("%d", &b[i]); int S = accumulate(a.begin(), a.end(), 0); vector<vector<int> > dp(n + 1, vector<int>(S + 1, INF)); const int Base = (int)1e5; dp[0][0] = 0; for (int(i) = 0; (i) < (int)(n); ++(i)) { for (int(j) = 0; (j) < (int)(S + 1); ++(j)) { int x = dp[i][j]; if (x == INF) continue; amin(dp[i + 1][j], x + a[i]); amin(dp[i + 1][min(S, j + b[i])], x + Base); } } int ans = dp[n][S]; printf("%d %d\n", ans / Base, ans % Base); } return 0; }
#include <bits/stdc++.h> char BB[1 << 15], *SS = BB, *TT = BB; inline int Read() { register int x = 0; register char ch = (SS == TT && (TT = (SS = BB) + fread(BB, 1, 1 << 15, stdin), TT == SS) ? EOF : *SS++); while (ch < '0' || ch > '9') ch = (SS == TT && (TT = (SS = BB) + fread(BB, 1, 1 << 15, stdin), TT == SS) ? EOF : *SS++); while (ch <= '9' && ch >= '0') { x = x * 10 + (ch ^ 48); ch = (SS == TT && (TT = (SS = BB) + fread(BB, 1, 1 << 15, stdin), TT == SS) ? EOF : *SS++); } return x; } inline int Min(const int x, const int y) { return x < y ? x : y; } inline int ABS(const int x) { return x < 0 ? ~x + 1 : 0x3f3f3f3f3f; } int a[100 + 5], b[100 + 5], n, m, f[10000 + 42], g[10000 + 42], ans; int main() { n = Read(); for (register int i = 1; i <= n; ++i) m += (a[i] = Read()); for (register int i = 1; i <= n; ++i) b[i] = Min(Read(), m); for (register int i = m + 100; i >= 1; --i) f[i] = n; for (register int i = 1; i <= n; ++i) for (register int j = m + 100; j >= b[i]; --j) if (f[j - b[i]] + 1 < f[j]) { if (j <= m) { f[j] = f[j - b[i]] + 1; g[j] = g[j - b[i]] + b[i] - a[i]; } else { f[j] = f[j - b[i]] + 1; g[j] = g[j - b[i]] + b[i] - a[i] + m - j; } } else if (f[j - b[i]] + 1 == f[j]) { if (j <= m) g[j] = Min(g[j], g[j - b[i]] + b[i] - a[i]); else g[j] = Min(g[j], g[j - b[i]] + b[i] - a[i] + m - j); } f[0] = n; for (register int i = m + 100; i >= m; --i) if (f[ans] > f[i]) ans = i; else if (f[ans] == f[i] && g[ans] > g[i]) ans = i; printf("%d %d", f[ans], g[ans]); return 0; }
#include <bits/stdc++.h> using namespace std; namespace Sweet { template <typename T> inline void read(T &x) { char ch; int f = 1; while (ch = getchar(), ch > '9' || ch < '0') (ch == '-') && (f = -1); x = (ch ^ 48); while (ch = getchar(), ch >= '0' && ch <= '9') x = x * 10 + (ch ^ 48); x *= f; } template <typename T> inline void write(T x) { static int stk[100], top = 0; if (x == 0) return (void)putchar('0'); if (x < 0) x = -x, putchar('-'); while (x) stk[++top] = x % 10, x /= 10; while (top) putchar(stk[top--] + '0'); } const int N = 4e2 + 10; struct E { int a, b; friend bool operator<(const E &a, const E &b) { return a.b == b.b ? a.a > b.a : a.b > b.b; } } e[N]; inline void max(int &x, const int &y) { (x < y) && (x = y); } int n, q, sigmaA, sigmaB, pre[N], f[N * N][N]; inline void main() { read(n); for (int i = 1; i <= n; ++i) read(e[i].a), sigmaA += e[i].a; for (int i = 1; i <= n; ++i) read(e[i].b), sigmaB += e[i].b; sort(e + 1, e + n + 1); for (int i = 1; i <= n; ++i) pre[i] = pre[i - 1] + e[i].b; memset(f, 0xcf, sizeof(f)); f[0][0] = 0; int x = lower_bound(pre + 1, pre + n + 1, sigmaA) - pre; write(x), putchar(' '); for (int i = 1; i <= n; ++i) { for (int j = sigmaB; j >= e[i].b; --j) { for (int k = 1; k <= x; ++k) { max(f[j][k], f[j - e[i].b][k - 1] + e[i].a); } } } int ans = 0; for (int i = sigmaA; i <= sigmaB; ++i) max(ans, f[i][x]); write(sigmaA - ans); } } // namespace Sweet int main() { Sweet::main(); return 0; }
#include <bits/stdc++.h> using namespace std; struct bottles { int las; int vol; } inp[1000]; int dp[105][20000]; bool cmp(bottles x, bottles y) { return x.vol > y.vol; } int main() { int n, sum = 0, cnt = 0, num = -1; scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d", &inp[i].las); for (int i = 1; i <= n; i++) scanf("%d", &inp[i].vol); for (int i = 1; i <= n; i++) sum += inp[i].las; sort(inp + 1, inp + 1 + n, cmp); for (int i = 1; i <= n; i++) { cnt += inp[i].vol; if (cnt >= sum && num == -1) num = i; } printf("%d ", num); memset(dp, -1, sizeof(dp)); dp[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = cnt; j >= inp[i].vol; j--) { for (int k = 1; k <= num; k++) { if (dp[k - 1][j - inp[i].vol] != -1) { dp[k][j] = max(dp[k - 1][j - inp[i].vol] + inp[i].las, dp[k][j]); } } } } int oup = -1; for (int i = sum; i <= cnt; i++) { oup = max(oup, dp[num][i]); } printf("%d", sum - oup); return 0; }
#include <bits/stdc++.h> #pragma gcc optimize("O3") #pragma gcc optimize("unroll-loops") using namespace std; using ll = long long; using pii = pair<int, int>; const int N = 110; const int INF = 1e9; int n, tot; pii ar[N]; int dp[N][N * N]; int ndp[N][N * N]; int findk() { int ret = 0; int tot = 0; for (int i = 1; i <= n; i++) tot += ar[i].second; for (int i = 1; i <= n; i++) { tot -= ar[i].first; if (tot <= 0) return i; } return n; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n; for (int i = 1; i <= n; i++) { cin >> ar[i].second; tot += ar[i].second; } for (int i = 1; i <= n; i++) { cin >> ar[i].first; } sort(ar + 1, ar + n + 1, greater<pii>()); int mk = findk(); for (int i = 0; i <= mk; i++) { for (int j = 0; j <= tot; j++) { dp[i][j] = INF; } } dp[0][0] = tot; for (int i = 1; i <= n; i++) { for (int j = 0; j <= mk; j++) { for (int k = 0; k <= tot; k++) { ndp[j][k] = dp[j][k]; } } for (int j = 0; j < mk; j++) { for (int k = 0; k <= tot; k++) { int nj = j + 1; int nk = min(tot, k + ar[i].first); dp[nj][nk] = min(dp[nj][nk], ndp[j][k] - ar[i].second); } } } cout << mk << " " << dp[mk][tot] << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 110, M = 10010; int n; int a[N], b[N], c[N]; int f[M][N]; int main() { cin >> n; int sa = 0, sb = 0; for (int i = 1; i <= n; i++) { cin >> a[i]; sa += a[i]; } for (int i = 1; i <= n; i++) { cin >> b[i]; c[i] = b[i]; sb += b[i]; } sort(c + 1, c + n + 1, greater<int>()); int s = 0, cnt = 0; for (int i = 1; i <= n; i++) { s += c[i]; cnt++; if (s >= sa) break; } memset(f, -0x3f, sizeof f); f[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = sb; j >= b[i]; j--) { for (int k = 1; k <= cnt; k++) f[j][k] = max(f[j][k], f[j - b[i]][k - 1] + a[i]); } } int res = 0; for (int i = sa; i <= sb; i++) res = max(res, f[i][cnt]); res = sa - res; cout << cnt << " " << res << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 200010; inline int in() { int x; scanf("%d", &x); return x; } inline long long lin() { long long x; scanf("%I64d", &x); return x; } struct Info { int a, b; } inp[205]; int tot; int n; pair<int, int> dp[105][10005]; pair<int, int> go(int now, int rem) { if (rem <= 0) return make_pair(0, 0); if (now > n) return make_pair(100000, 100000); if (dp[now][rem] != make_pair(-1, -1)) return dp[now][rem]; pair<int, int> a; a = go(now + 1, rem - inp[now].b); pair<int, int> p, q; p.first = 1 + a.first; if (rem - inp[now].b >= 0) p.second = (inp[now].b - inp[now].a) + a.second; else p.second = (rem - inp[now].a) + a.second; q = go(now + 1, rem); if (q.first < p.first) p = q; else if (q.first == p.first) { if (q.second < p.second) p = q; } return dp[now][rem] = p; } int main() { n = in(); for (int i = 1; i <= n; i++) { inp[i].a = in(); tot += inp[i].a; } for (int i = 1; i <= n; i++) { inp[i].b = in(); } memset(dp, -1, sizeof dp); pair<int, int> ans = go(1, tot); printf("%d %d\n", ans.first, ans.second); }
#include <bits/stdc++.h> using namespace std; const int N = 105; const int MX = N * N; const int INF = ~0x3f3f3f3f; int a[N], b[N]; int dp[N][MX]; int main() { int n; while (scanf("%d", &n) == 1) { int sum = 0; for (int i = 0; i < n; i++) { scanf("%d", a + i); sum += a[i]; } for (int i = 0; i < n; i++) { scanf("%d", b + i); } memset(dp, INF, sizeof dp); dp[0][0] = 0; for (int i = 0; i < n; i++) { int aa = a[i], bb = b[i]; for (int j = i; j >= 0; j--) { for (int k = 0; k < MX; k++) { if (dp[j][k] != INF) { dp[j + 1][k + bb] = max(dp[j + 1][k + bb], dp[j][k] + aa); } } } } for (int i = 1; i <= n; i++) { int mx = INF; for (int j = sum; j < MX; j++) { mx = max(mx, dp[i][j]); } if (mx != INF) { printf("%d %d\n", i, sum - mx); break; } } } return 0; }