text
stringlengths
49
983k
#include <bits/stdc++.h> using namespace std; bool cmp(pair<int, int> a, pair<int, int> b) { return a.second > b.second; } pair<int, int> a[105]; int dp2[105][10005]; int dp[105][10005], tot, n; int solve(int i, int j) { if (j < 0) return 100000000; if (i == 0) { if (j > a[i].second) return dp[i][j] = 100000000; dp2[i][j] = (j && 1); return dp[i][j] = abs(j - a[i].first); } if (dp[i][j] != -1) return dp[i][j]; dp[i][j] = 100000000; dp2[i][j] = 100000000; for (int x = 0; x <= a[i].second && x <= j; ++x) { int tmp = abs(x - a[i].first) + solve(i - 1, j - x); if (dp2[i - 1][j - x] == -1) continue; if (dp2[i - 1][j - x] + (x && 1) < dp2[i][j]) { dp[i][j] = tmp; dp2[i][j] = dp2[i - 1][j - x] + (x && 1); continue; } if (dp2[i - 1][j - x] + (x && 1) == dp2[i][j]) { dp[i][j] = min(dp[i][j], tmp); continue; } } return dp[i][j]; } int main() { for (int i = 0; i < 105; ++i) { for (int j = 0; j < 10005; ++j) { dp[i][j] = -1; dp2[i][j] = -1; } } scanf("%d", &n); for (int i = 0; i < n; ++i) { scanf("%d", &a[i].first); tot += a[i].first; } for (int i = 0; i < n; ++i) scanf("%d", &a[i].second); sort(a, a + n, cmp); solve(n - 1, tot); printf("%d %d\n", dp2[n - 1][tot], dp[n - 1][tot] / 2); return 0; }
#include <bits/stdc++.h> using namespace std; int dp[106][10006]; struct bottle { int remain, volume; } f[105]; bool cmp(bottle a, bottle b) { if (a.volume != b.volume) return a.volume > b.volume; else return a.remain > b.remain; } int main() { int n; cin >> n; int sum1, sum2; sum1 = sum2 = 0; for (int i = 1; i <= n; i++) { cin >> f[i].remain; sum1 += f[i].remain; } for (int i = 1; i <= n; i++) { cin >> f[i].volume; sum2 += f[i].volume; } int x = sum1; int num = 0; sort(f + 1, f + 1 + n, cmp); while (1) { x -= f[++num].volume; if (x <= 0) break; } for (int i = 0; i <= 105; i++) for (int j = 0; j <= 10005; j++) dp[i][j] = -999999; dp[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = sum2; j >= f[i].volume; j--) for (int k = 1; k <= num; k++) dp[k][j] = max(dp[k][j], dp[k - 1][j - f[i].volume] + f[i].remain); } int ans = 0; for (int i = sum1; i <= sum2; i++) { ans = max(ans, dp[num][i]); } printf("%d %d\n", num, sum1 - ans); }
#include <bits/stdc++.h> using namespace std; const int mx = 1e2 + 10; int a[mx], b[mx], n; int dp[mx][mx * mx]; int main() { scanf("%d", &n); int sum = 0, ret = 0; memset(dp, 0, sizeof(dp)); 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), ret += b[i]; for (int i = 1; i <= n; i++) { for (int j = i; j >= 1; j--) { for (int k = ret; k > 0; k--) { if (dp[j - 1][k]) dp[j][k + b[i]] = max(dp[j][k + b[i]], dp[j - 1][k] + a[i]); } if (j == 1) dp[j][b[i]] = max(dp[j][b[i]], a[i]); } } for (int i = 1; i <= n; i++) for (int j = ret - 1; j > 0; j--) dp[i][j] = max(dp[i][j], dp[i][j + 1]); for (int i = 1; i <= n; i++) { if (dp[i][sum]) { printf("%d %d\n", i, sum - dp[i][sum]); break; } } return 0; }
#include <bits/stdc++.h> using namespace std; long long read() { long long ans = 0, f = 1; char ch = getchar(); while (!isdigit(ch)) { if (ch == '-') f = -1; ch = getchar(); } while (isdigit(ch)) ans = (ans * 10) + (ch ^ '0'), ch = getchar(); return ans * f; } struct node { long long a, b; bool operator<(const node &x) const { return b > x.b; } } c[110]; long long n, ans, suma, sumb, k = 0, f[15000][110]; signed main() { n = read(); for (long long i = 1; i <= n; i++) { c[i].a = read(), suma += c[i].a; } for (long long i = 1; i <= n; i++) c[i].b = read(); sort(c + 1, c + 1 + n); while (sumb < suma) sumb += c[++k].b; memset(f, 128, sizeof(f)); f[0][0] = 0; printf("%lld ", k); for (long long i = 1; i <= n; i++) for (long long j = sumb; j >= c[i].b; j--) for (long long kk = 1; kk <= k; kk++) f[j][kk] = max(f[j][kk], f[j - c[i].b][kk - 1] + c[i].a); for (long long i = suma; i <= sumb; i++) ans = max(ans, f[i][k]); cout << suma - ans; return 0; }
#include <bits/stdc++.h> using namespace std; const long long N = 110; long long n, m, sum, cnt, p, f[N][N * N], ans; struct data { long long x, y; } a[N]; bool cmp(data x, data y) { return x.y == y.y ? x.x > y.x : x.y > y.y; } signed main() { scanf("%lld", &n); for (long long i = 1; i <= n; i++) scanf("%lld", &a[i].x), sum += a[i].x; for (long long i = 1; i <= n; i++) scanf("%lld", &a[i].y), m += a[i].y; sort(a + 1, a + 1 + n, cmp); for (long long i = 1; i <= n; i++) { cnt += a[i].y; if (cnt >= sum) { p = i; break; } } memset(f, -0x3f, sizeof(f)), f[0][0] = 0; for (long long i = 1; i <= n; i++) for (long long j = m; j >= a[i].y; j--) for (long long k = 1; k <= p; k++) f[k][j] = max(f[k][j], f[k - 1][j - a[i].y] + a[i].x); for (long long i = sum; i <= m; i++) ans = max(ans, f[p][i]); printf("%lld %lld\n", p, sum - ans); return 0; }
#include <bits/stdc++.h> using namespace std; struct node { int a, b; } c[101]; bool cmp(node x, node y) { return x.b > y.b; } int n, suma, sumb, num, ans, f[101][10001]; int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> c[i].a; suma += c[i].a; } for (int i = 1; i <= n; i++) { cin >> c[i].b; } sort(c + 1, c + n + 1, cmp); while (sumb < suma) sumb += c[++num].b; cout << num << " "; memset(f, 128, sizeof(f)); f[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = sumb; j >= c[i].b; j--) { for (int k = 1; k <= num; k++) { f[k][j] = max(f[k][j], f[k - 1][j - c[i].b] + c[i].a); } } } for (int i = suma; i <= sumb; i++) { ans = max(ans, f[num][i]); } cout << suma - ans; return 0; }
#include <bits/stdc++.h> using namespace std; int a[105], b[105]; pair<int, int> dp[105][10000 * 2 + 5]; int n; pair<int, int> rek(int p, int left) { if (p == n) { if (left >= 10000) return pair<int, int>(0, 0); return pair<int, int>(1000, 1000000); } pair<int, int> &res = dp[p][left]; if (res.first != -1) return res; res = pair<int, int>(1000, 100000); pair<int, int> temp; temp = rek(p + 1, left - a[p]); temp.second += a[p]; if (temp.first < res.first || (temp.first == res.first && temp.second < res.second)) res = temp; temp = rek(p + 1, left + (b[p] - a[p])); temp.first += 1; if (temp.first < res.first || (temp.first == res.first && temp.second < res.second)) res = temp; return res; } int main() { scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d", &a[i]); for (int i = 0; i < n; i++) scanf("%d", &b[i]); for (int i = 0; i <= n; i++) { for (int j = 0; j <= 20000; j++) { dp[i][j] = pair<int, int>(-1, -1); } } pair<int, int> res = rek(0, 10000); cout << res.first << " " << res.second << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 110; int n, f[N][N * N], s[N], sa; struct bottle { int a, b; } q[N]; inline bool cmp(bottle a, bottle b) { return a.b > b.b; } inline void upd(int &x, int y) { (y < x) && (x = y); } int main() { scanf("%d", &n); int sum = 0; for (int i = 1; i <= n; ++i) scanf("%d", &q[i].a), sum += q[i].a; for (int i = 1; i <= n; ++i) scanf("%d", &q[i].b); sort(q + 1, q + n + 1, cmp); for (int i = 1; i <= n; ++i) s[i] = s[i - 1] + q[i].b; int mx = 0; sa = sum; for (int i = 1; i <= n; ++i) { sum -= q[i].b; if (sum <= 0) { mx = i; break; } } memset(f, 0x3f, sizeof(f)); f[0][0] = 0; for (int i = 1; i <= n; ++i) { for (int j = i; j >= 0; --j) { for (int k = s[i]; k >= 0; --k) { f[j][k] += q[i].a; if (k >= q[i].b && j >= 1) upd(f[j][k], f[j - 1][k - q[i].b]); } } } int ans = 0x3f3f3f3f; for (int k = sa; k <= s[n]; ++k) ans = min(ans, f[mx][k]); printf("%d %d\n", mx, ans); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> inline void read(T &x) { x = 0; int f = 1; char ch = getchar(); while (!isdigit(ch)) { if (ch == '-') f = -1; ch = getchar(); } while (isdigit(ch)) { x = (x << 1) + (x << 3) + (ch ^ 48); ch = getchar(); } x *= f; } const int maxn = 110; int n; int tot, res, ans; struct bottle { int a, b; friend bool operator<(bottle a, bottle b) { return a.b > b.b; } } bt[maxn]; int f[maxn][maxn * maxn], mx; inline void dp() { memset(f, -100, sizeof(f)); f[0][0] = 0; for (int i = 1; i <= n; ++i) for (int j = mx; j >= bt[i].b; --j) for (int k = 1; k <= res; ++k) f[k][j] = max(f[k][j], f[k - 1][j - bt[i].b] + bt[i].a); } int main() { read(n); for (int i = 1; i <= n; ++i) { read(bt[i].a); tot += bt[i].a; } for (int i = 1; i <= n; ++i) { read(bt[i].b); mx += bt[i].b; } sort(bt + 1, bt + n + 1); ans = tot; for (int i = 1; i <= n; ++i) { if (tot > bt[i].b) tot -= bt[i].b; else { res = i; break; } } dp(); int maxx = 0; for (int i = ans; i <= mx; ++i) maxx = max(maxx, f[res][i]); cout << res << ' ' << ans - maxx; return 0; }
#include <bits/stdc++.h> using namespace std; int scan(int *buf_tar) { char buf_c = 0; bool is_rev = 0; while (buf_c != '-' && (buf_c < '0' || buf_c > '9')) { buf_c = getchar(); if (buf_c == EOF) return EOF; } if (buf_c == '-') is_rev = 1, buf_c = getchar(); *buf_tar = 0; while (buf_c >= '0' && buf_c <= '9') { *buf_tar *= 10; *buf_tar += buf_c - '0'; buf_c = getchar(); } if (is_rev) *buf_tar = -*buf_tar; return 0; } int scan(long long *buf_tar) { char buf_c = 0; bool is_rev = 0; while (buf_c != '-' && (buf_c < '0' || buf_c > '9')) { buf_c = getchar(); if (buf_c == EOF) return EOF; } if (buf_c == '-') is_rev = 1, buf_c = getchar(); *buf_tar = 0; while (buf_c >= '0' && buf_c <= '9') { *buf_tar *= 10; *buf_tar += buf_c - '0'; buf_c = getchar(); } if (is_rev) *buf_tar = -*buf_tar; return 0; } int n; int a[110], b[110], sb[110]; int limit[110]; int f[110][10010]; inline bool cp(const int &, const int &); int main() { register int suma = 0, max_cnt, ans = 0; scan(&n); for (int i = 1; i <= n; ++i) { scan(&a[i]); suma += a[i]; } for (int i = 1; i <= n; ++i) { scan(&b[i]); sb[i] = b[i]; } sort(sb + 1, sb + 1 + n, cp); for (int i = 1; i <= n; ++i) limit[i] = limit[i - 1] + sb[i]; for (int i = 1; i <= n; ++i) if (limit[i] >= suma) { printf("%d ", max_cnt = i); break; } memset(f, -1, sizeof(f)); f[0][0] = 0; for (int i = 1; i <= n; ++i) for (int j = max_cnt; j; --j) for (int t = limit[j - 1] + b[i]; t >= b[i]; --t) if (f[j - 1][t - b[i]] >= 0) f[j][t] = max(f[j][t], f[j - 1][t - b[i]] + a[i]); for (int i = suma; i <= limit[max_cnt]; ++i) ans = max(ans, f[max_cnt][i]); printf("%d\n", suma - ans); return 0; } inline bool cp(const int &_a, const int &_b) { return _a > _b; }
#include <bits/stdc++.h> using namespace std; int n, f[110][110 * 110]; pair<int, int> x[110]; bool cmp(pair<int, int> a, pair<int, int> b) { return a.second > b.second; } int main() { ios_base::sync_with_stdio(false); cin >> n; int sum = 0; for (int i = 1; i <= n; i++) cin >> x[i].first, sum += x[i].first; for (int i = 1; i <= n; i++) cin >> x[i].second; sort(x + 1, x + n + 1, cmp); int vt = 0, temp = 0; for (int i = 1; i <= n; i++) { temp += x[i].second; if (temp >= sum) { vt = i; break; } } for (int i = 1; i <= n; i++) { for (int j = min(i - 1, vt); j >= 1; j--) for (int k = sum + 1; k >= 0; k--) { if (f[j][k] == 0) continue; if (k + x[i].second > sum) { f[j + 1][sum + 1] = max(f[j + 1][sum + 1], f[j][k] + x[i].first); } else f[j + 1][k + x[i].second] = max(f[j + 1][k + x[i].second], f[j][k] + x[i].first); } f[1][min(sum + 1, x[i].second)] = max(f[1][min(sum + 1, x[i].second)], x[i].first); } cout << vt << " "; cout << sum - max(f[vt][sum], f[vt][sum + 1]); }
#include <bits/stdc++.h> const int MAXN = 105; int n; int dp[MAXN][MAXN * MAXN]; using namespace std; struct Record { int a, b; } rec[MAXN]; bool cmp(const Record& x, const Record& y) { if (x.b != y.b) return x.b > y.b; else return x.a > y.a; } int main() { while (~scanf("%d", &n)) { int sum = 0; for (int i = 1; i <= n; i++) { scanf("%d", &rec[i].a); sum += rec[i].a; } for (int i = 1; i <= n; i++) scanf("%d", &rec[i].b); sort(rec + 1, rec + n + 1, cmp); int k; for (int i = 1, j = 0; i <= n; i++) { j += rec[i].b; if (j >= sum) { k = i; break; } } memset(dp, 0x80, sizeof dp); dp[0][0] = 0; for (int i = 1; i <= n; i++) for (int j = k; j > 0; j--) for (int l = 10000; l >= rec[i].b; l--) dp[j][l] = max(dp[j][l], dp[j - 1][l - rec[i].b] + rec[i].a); int temp = 0; for (int i = sum; i <= 100 * k; i++) temp = max(temp, dp[k][i]); printf("%d %d\n", k, sum - temp); } return 0; }
#include <bits/stdc++.h> using namespace std; int f[20001][101]; struct node { int ai, bi; } a[1001]; bool cmp(node x, node y) { return x.bi > y.bi; } int main() { int n, sum1 = 0, sum2 = 0, d = 0; scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d", &a[i].ai); sum1 += a[i].ai; } for (int i = 1; i <= n; i++) { scanf("%d", &a[i].bi); } sort(a + 1, a + n + 1, cmp); while (sum1 > sum2) sum2 += a[++d].bi; printf("%d ", d); memset(f, 128, sizeof(f)); f[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = sum2; j >= a[i].bi; j--) { for (int k = 1; k <= d; k++) { f[j][k] = max(f[j][k], f[j - a[i].bi][k - 1] + a[i].ai); } } } int ans = 0; for (int i = sum1; i <= sum2; i++) { ans = max(ans, f[i][d]); } printf("%d\n", sum1 - ans); return 0; }
#include <bits/stdc++.h> using namespace std; int n, f[110][110 * 110]; pair<int, int> x[110]; bool cmp(pair<int, int> a, pair<int, int> b) { return a.second > b.second; } int main() { ios_base::sync_with_stdio(false); cin >> n; int sum = 0; for (int i = 1; i <= n; i++) cin >> x[i].first, sum += x[i].first; for (int i = 1; i <= n; i++) cin >> x[i].second; sort(x + 1, x + n + 1, cmp); int vt = 0, temp = 0; for (int i = 1; i <= n; i++) { temp += x[i].second; if (temp >= sum) { vt = i; break; } } for (int i = 1; i <= n; i++) { for (int j = min(i - 1, vt); j >= 1; j--) for (int k = sum + 1; k >= 0; k--) { if (f[j][k] == 0) continue; if (k + x[i].second > sum) { f[j + 1][sum + 1] = max(f[j + 1][sum + 1], f[j][k] + x[i].first); } else f[j + 1][k + x[i].second] = max(f[j + 1][k + x[i].second], f[j][k] + x[i].first); } f[1][min(sum + 1, x[i].second)] = max(f[1][min(sum + 1, x[i].second)], x[i].first); } cout << vt << " "; cout << sum - max(f[vt][sum], f[vt][sum + 1]); }
#include <bits/stdc++.h> using namespace std; const int N = 111; struct node { int a, b; node() {} node(int a, int b) : a(a), b(b) {} } a[N]; int cmp(node a, node b) { if (a.b != b.b) return a.b > b.b; return a.a > b.a; } int dp[2][N][N * N]; int main() { int n; while (cin >> n) { int sa = 0; for (int i = 1; i <= n; ++i) cin >> a[i].a, sa += a[i].a; for (int i = 1; i <= n; ++i) cin >> a[i].b; sort(a + 1, a + 1 + n, cmp); int k = 0, sb = 0; for (int i = 1; !k && i <= n; ++i) { sb += a[i].b; if (sb >= sa) k = i; } memset(dp, -1, sizeof(dp)); int curb = 0; dp[0][0][0] = dp[1][0][0] = 0; for (int i = 1; i <= n; ++i) { curb += a[i].b; for (int j = 1; j <= k; ++j) { if (j > i) break; for (int w = curb; w >= 0; --w) { dp[i & 1][j][w] = dp[1 - (i & 1)][j][w]; if (w < a[i].b || dp[1 - (i & 1)][j - 1][w - a[i].b] == -1) continue; dp[i & 1][j][w] = max(dp[1 - (i & 1)][j - 1][w - a[i].b] + a[i].a, dp[i & 1][j][w]); } } } int maxi = 0; for (int i = sa; i <= curb; ++i) maxi = max(maxi, dp[n & 1][k][i]); int t = sa - maxi; cout << k << " " << t << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int readint() { int x; scanf("%d", &x); return x; } int dp[10005][105]; int main() { int n = readint(); vector<int> a(n + 1), b(n + 1); vector<int> c(n + 1); int sum = 0; for (int i = 1; i <= n; i++) a[i] = readint(), sum += a[i]; for (int i = 1; i <= n; i++) b[i] = readint(), c[i] = b[i]; sort(c.begin(), c.end()); reverse(c.begin() + 1, c.end()); for (int i = 1; i <= n; i++) c[i] = c[i - 1] + c[i]; int k = lower_bound(c.begin(), c.end(), sum) - c.begin(); cout << k << ' '; memset(dp, 128, sizeof dp); dp[0][0] = 0; for (int i = 1; i <= n; i++) for (int j = c[k]; j >= b[i]; j--) for (int kk = 1; kk <= k; kk++) dp[j][kk] = max(dp[j][kk], dp[j - b[i]][kk - 1] + a[i]); int ans = -1; for (int i = sum; i <= c[k]; i++) ans = max(ans, dp[i][k]); cout << sum - ans; }
#include <bits/stdc++.h> using namespace std; int n; int a[105], b[105]; pair<int, int> memo[105][20005]; pair<int, int> dp(int i, int x) { if (i == n) return (x < 0 ? pair<int, int>(105, 10002) : pair<int, int>(0, 0)); if (memo[i][x + 10002] != pair<int, int>(-1, -1)) return memo[i][x + 10002]; memo[i][x + 10002] = dp(i + 1, x + b[i] - a[i]); memo[i][x + 10002].first += 1; pair<int, int> tmp = dp(i + 1, x - a[i]); tmp.second += a[i]; if (tmp.first < memo[i][x + 10002].first) memo[i][x + 10002] = tmp; else if (tmp.first == memo[i][x + 10002].first) memo[i][x + 10002].second = min(memo[i][x + 10002].second, tmp.second); return memo[i][x + 10002]; } int main() { scanf("%d", &n); for (int i = 0; i < n; ++i) scanf("%d", &a[i]); for (int i = 0; i < n; ++i) scanf("%d", &b[i]); memset(memo, -1, sizeof memo); pair<int, int> ans = dp(0, 0); printf("%d %d\n", ans.first, ans.second); }
#include <bits/stdc++.h> using namespace std; struct node { int a, b; } p[105]; int dp[105][105 * 105]; bool cmp(const node &a, const node &b) { return a.b > b.b; } int main() { int n, sum = 0, tmp, cnt = 0, tol = 0, ans = 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), tol += p[i].b; tmp = sum; sort(p + 1, p + 1 + n, cmp); for (int i = 1; i <= n; i++) { tmp -= p[i].b; if (tmp <= 0) { cnt = i; break; } } memset(dp, -1, sizeof(dp)); dp[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = tol; j >= p[i].b; j--) { for (int k = i; k > 0; k--) { if (dp[k - 1][j - p[i].b] != -1) { dp[k][j] = max(dp[k][j], dp[k - 1][j - p[i].b] + p[i].a); } } } } for (int i = sum; i <= tol; i++) ans = max(ans, dp[cnt][i]); printf("%d %d\n", cnt, sum - ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = INT_MAX; const unsigned long long INF = LLONG_MAX; const unsigned long long mod = 1e9 + 7; int main() { ios_base::sync_with_stdio(false), cin.tie(NULL), cout.tie(NULL); int n; cin >> n; vector<int> a(n); unsigned long long t1 = 0, t2 = 0; for (int i = 0; i <= n - 1; i++) { cin >> a[i]; t1 += a[i]; } vector<int> b(n); for (int i = 0; i <= n - 1; i++) { cin >> b[i]; t2 += b[i]; } vector<long long int> vfilled(10001, -INF); vector<long long int> num(10001, INF); num[0] = 0; vfilled[0] = 0; for (int i = 0; i <= n - 1; i++) { for (int j = 10000 - b[i]; j >= 0; j--) { if (num[j] != INF) { if (num[j + b[i]] > num[j] + 1) { num[j + b[i]] = num[j] + 1; vfilled[j + b[i]] = vfilled[j] + a[i]; } else if (num[j + b[i]] == num[j] + 1) { vfilled[j + b[i]] = max(vfilled[j + b[i]], vfilled[j] + a[i]); } } } } unsigned long long count = INF, ans = INF; for (long long int i = t1; i <= 10000; i++) { if (num[i] < count) { count = num[i]; ans = t1 - vfilled[i]; } else if (num[i] == count) { unsigned long long current = i; ans = min(ans, t1 - vfilled[i]); } } cout << count << " " << ans; 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 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() { n = Read(); for (register int i = 1; i <= n; ++i) m += (a[i] = Read()); for (register int i = 1; i <= n; ++i) b[i] = Read(); 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; const int maxn = 105; struct node { int a, b; } num[maxn]; inline bool cmp(node x, node y) { if (x.b != y.b) return x.b > y.b; return x.a > y.a; } int f[maxn][maxn * maxn], n, m, res, numm, tot, sum; int main() { scanf("%d", &n); for (register int i = 1; i <= n; i++) scanf("%d", &num[i].a), sum = sum + num[i].a; for (register int i = 1; i <= n; i++) scanf("%d", &num[i].b); sort(num + 1, num + n + 1, cmp); for (register int i = 1; i <= n; i++) { tot += num[i].b; if (tot >= sum) { numm = i; break; } } printf("%d ", numm); memset(f, -1, sizeof(f)); f[0][0] = 0; for (register int i = 1; i <= n; i++) for (register int k = tot; k >= num[i].b; k--) for (register int j = 1; j <= numm; j++) if (f[j - 1][k - num[i].b] != -1) f[j][k] = max(f[j][k], f[j - 1][k - num[i].b] + num[i].a); for (register int i = sum; i <= tot; i++) res = max(res, f[numm][i]); printf("%d\n", sum - res); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> bool bitcheck(T p, T pos) { return (bool)(p & (1 << pos)); } template <typename T> T biton(T p, T pos) { return p = p | (1 << pos); } template <typename T> T bitoff(T p, T pos) { return p = p & ~(1 << pos); } template <typename T> long long int toint(T s) { long long int p; stringstream ss(s); ss >> p; return p; } template <typename T> string tostring(T n) { stringstream ss; ss << n; return ss.str(); } template <typename T> T POW(T b, T p) { T Ans = 1; while (p) { if (p & 1) Ans = (Ans * b); b = (b * b); p >>= 1; } return Ans; } template <typename T> T BigMod(T b, T p, T Mod) { T Ans = 1; while (p) { if (p & 1) Ans = (Ans * b) % Mod; b = (b * b) % Mod; p >>= 1; } return Ans; } template <typename T> T ModInverse(T p, T Mod) { return BigMod(p, Mod - 2, Mod); } const int fx[] = {+0, +0, +1, -1, -1, +1, -1, +1}; const int fy[] = {-1, +1, +0, +0, +1, +1, -1, -1}; const int mx = 1e5 + 10; const long long int inf = (long long int)1e9; const int mod = 1e9 + 7; const double pi = 2 * acos(0.0); const double E = 2.71828182845904523536; const double eps = 1e-9; bool mark[mx]; vector<int> prime; void sieve() { memset(mark, true, sizeof(mark)); for (int i = 3; i <= (int)sqrt(mx); i += 2) { if (mark[i]) { for (int j = i * i; j <= mx; j += 2 * i) mark[j] = false; } } prime.push_back(2); for (int i = 3; i <= mx; i += 2) if (mark[i]) prime.push_back(i); } long long int a[110], total, n; vector<pair<long long int, long long int> > v; pair<long long int, long long int> dp[110][10010]; bool vis[110][10010]; pair<long long int, long long int> boss(long long int i, long long int s) { if (i == n && s < total) return {inf, inf}; if (i == n && s >= total) return {0, 0}; if (vis[i][s]) return dp[i][s]; vis[i][s] = 1; pair<long long int, long long int> p1 = make_pair(1 + boss(i + 1, s + v[i].first).first, boss(i + 1, s + v[i].first).second); pair<long long int, long long int> p2 = make_pair(boss(i + 1, s).first, v[i].second + boss(i + 1, s).second); return dp[i][s] = min(p1, p2); } int main() { total = 0; cin >> n; for (int i = 0; i <= n - 1; i++) { cin >> a[i]; total += a[i]; } for (int i = 0; i <= n - 1; i++) { long long int k; cin >> k; v.push_back({k, a[i]}); } pair<long long int, long long int> d = boss(0, 0); cout << d.first << " " << d.second << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int inf = 2e9; int mod = 1e9 + 7; char en = '\n'; int arr[105], arr2[105], temp[105]; unordered_map<int, int> par[105][105]; int recur(int i, int k, int sum) { if (par[i][k].count(sum)) return par[i][k][sum]; if (k == 0) { if (sum <= 0) return 0; else return -inf; } if (i == 0) { return -inf; } int val = max(recur(i - 1, k, sum), arr[i] + recur(i - 1, k - 1, sum - arr2[i])); par[i][k][sum] = val; return val; } int main() { int n; cin >> n; int sum1 = 0; for (int i = 1; i <= n; i++) { cin >> arr[i]; sum1 += arr[i]; } for (int i = 1; i <= n; i++) { cin >> arr2[i]; temp[i] = arr2[i]; } int k; int curr = 0; sort(temp + 1, temp + n + 1, greater<int>()); for (int i = 1; i <= n; i++) { curr += temp[i]; if (curr >= sum1) { k = i; break; } } int t = recur(n, k, sum1); cout << k << " " << sum1 - t << en; return 0; }
#include <bits/stdc++.h> using namespace std; typedef struct bottle { int left, vol; } bottle; bottle b[105]; bool cmp(bottle a, bottle b) { if (a.vol != b.vol) return a.vol > b.vol; return a.left > b.left; } int main() { int n; cin >> n; int dp[105][10005]; int sum = 0; memset(dp, -1, sizeof(dp)); for (int i = 1; i <= n; ++i) { cin >> b[i].left; sum += b[i].left; } for (int i = 1; i <= n; ++i) { cin >> b[i].vol; } int cnt = 0; int total = 0; sort(b + 1, b + n + 1, cmp); for (int i = 1; i <= n; ++i) { total += b[i].vol; if (total >= sum) { cnt = i; break; } } dp[0][0] = 0; for (int i = 1; i <= n; ++i) { for (int j = sum; (j - b[i].left) >= 0; --j) { for (int k = i; k >= 1; --k) { if (dp[k - 1][j - b[i].left] != -1) dp[k][j] = max(dp[k][j], dp[k - 1][j - b[i].left] + b[i].vol); } } } int ans = 0; for (int i = sum; i >= 1; --i) { if (dp[cnt][i] >= sum) { ans = sum - i; break; } } cout << cnt << " " << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const double pi = acos(-1.0); const long double eps = 1e-10; const int INF = 0x3f3f3f3f; const long long LINF = 0x3f3f3f3f3f3f3f3f; const int MX = 100 + 7; const int mod = 1e9 + 7; long long gcd(long long a, long long b) { return b ? gcd(b, a % b) : a; } long long quimod(long long a, long long k) { long long res = 1; while (k) { if (k & 1) res = (res * a) % mod; a = (a * a) % mod; k >>= 1; } return res; } long long lcm(long long a, long long b) { return a / gcd(a, b) * b; } struct node { int r, v; inline bool operator<(const node& w) const { return v > w.v; } } a[MX]; int dp[MX][MX * MX]; int main() { memset(dp, -1, sizeof(dp)); ; int n; scanf("%d", &n); int tot_r = 0, tot_v = 0; for (int i = 1; i <= n; ++i) { scanf("%d", &a[i].r); tot_r += a[i].r; } for (int i = 1; i <= n; ++i) { scanf("%d", &a[i].v); tot_v += a[i].v; } sort(a + 1, a + 1 + n); int now = 0; int num = 0; for (int i = 1; i <= n; ++i) { now += a[i].v; if (now >= tot_r) { num = i; break; } } dp[0][0] = 0; for (int i = 1; i <= n; ++i) { for (int j = num; j > 0; --j) { for (int k = tot_v; k >= a[i].v; --k) { if (dp[j - 1][k - a[i].v] != -1) dp[j][k] = max(dp[j][k], dp[j - 1][k - a[i].v] + a[i].r); } } } int res = 0; for (int i = tot_r; i <= tot_v; ++i) { res = max(res, dp[num][i]); } printf("%d %d\n", num, tot_r - res); return 0; }
#include <bits/stdc++.h> using namespace std; long long Set(long long n, long long pos) { return (n = n | 1 << pos); } long long reset(long long N, long long pos) { return N = N & ~(1 << pos); } bool check(long long N, long long pos) { return (bool)(N & (1 << pos)); } long long pow(long long a, long long b, long long mod) { long long x = 1, y = a; while (b > 0) { if (b % 2 == 1) { x = (x * y); if (x > mod) x %= mod; } y = (y * y); if (y > mod) y %= mod; b /= 2; } return x; } long long modInverse(long long a, long long m) { return pow(a, m - 2, m); } const long long LARGE = powl(10, 18); long long n; long long arr[201], brr[201]; long long total = 0; pair<long long, long long> dp[201][20100]; bool vis[201][20100]; pair<long long, long long> fun(long long idx, long long have) { if (idx == n) { if (have >= total) { return make_pair(0, 0); } else return make_pair(INT_MAX, INT_MAX); } if (vis[idx][have] != 0) return dp[idx][have]; vis[idx][have] = 1; pair<long long, long long> ans = make_pair(INT_MAX, INT_MAX); ans = min(ans, make_pair(1 + fun(idx + 1, have + brr[idx]).first, -arr[idx] + fun(idx + 1, have + brr[idx]).second)); ans = min(ans, fun(idx + 1, have)); return dp[idx][have] = ans; } int main() { while (cin >> n) { total = 0; memset(vis, 0, sizeof vis); for (int i = 0; i < n; i++) cin >> arr[i], total += arr[i]; for (int i = 0; i < n; i++) cin >> brr[i]; pair<long long, long long> ans = fun(0, 0); cout << ans.first << " " << total + ans.second << endl; } }
#include <bits/stdc++.h> using namespace std; constexpr int INF = 1000000000; int N; pair<int, int> bottles[100]; map<pair<int, int>, pair<int, int> > memo; template <typename T, typename U> pair<T, U> operator+(const pair<T, U>& a, const pair<T, U>& b) { return {a.first + b.first, a.second + b.second}; } pair<int, int> f(int p, int v) { if (v <= 0) return pair<int, int>(0, v); if (p >= N) return pair<int, int>(INF, INF); if (memo.find({p, v}) != memo.end()) return memo[{p, v}]; pair<int, int> r1 = f(p + 1, v - bottles[p].second) + pair<int, int>(1, bottles[p].second - bottles[p].first); pair<int, int> r2 = f(p + 1, v); return memo[{p, v}] = min(r1, r2); } int main() { scanf("%d", &N); for (int i = 0; i < N; i++) scanf("%d", &bottles[i].first); for (int i = 0; i < N; i++) scanf("%d", &bottles[i].second); int vol = 0; for (int i = 0; i < N; i++) vol += bottles[i].first; pair<int, int> res = f(0, vol); printf("%d %d\n", res.first, res.second); }
#include <bits/stdc++.h> using namespace std; const int N = 1e4 + 4; pair<int, int> DP[101][2 * N]; int F[101][101]; int a[101], b[101]; const int inf = 1e5 + 5; pair<int, int>& dp(int i, int j) { if (j < 0) return DP[i][N + abs(j)]; return DP[i][j]; } int n; pair<int, int> rec(int idx, int volume_free) { if (dp(idx, volume_free).first != -1) return dp(idx, volume_free); if (idx == n) { if (volume_free >= 0) return make_pair(0, 0); return {inf, 0}; } pair<int, int> res; pair<int, int> ff = rec(idx + 1, volume_free + b[idx] - a[idx]); res.first = ff.first + 1; res.second = ff.second; ff = rec(idx + 1, volume_free - a[idx]); res = min(res, {ff.first, ff.second + a[idx]}); return dp(idx, volume_free) = res; } int main() { cin >> n; for (int i = 0; i < n; ++i) cin >> a[i]; for (int i = 0; i < n; ++i) cin >> b[i]; for (int i = 0; i < 101; ++i) for (int j = -N; j < N; ++j) dp(i, j).first = -1; cout << rec(0, 0).first << ' ' << rec(0, 0).second << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = 1e9 + 7; const int INF = 2e9; const int magic = 348; const double eps = 1e-10; struct bottle { int cur, vol; } a[108]; int n, k, sum; int dp[2][101][10048]; bool cmp(bottle first, bottle second) { return first.vol > second.vol; } int main() { int i, j, m; scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d", &a[i].cur); sum += a[i].cur; } for (i = 1; i <= n; i++) scanf("%d", &a[i].vol); sort(a + 1, a + n + 1, cmp); int cc = 0; for (i = 1; i <= n; i++) { cc += a[i].vol; if (cc >= sum) break; } k = i; for (i = 0; i <= 1; i++) for (j = 0; j <= 100; j++) for (m = 0; m <= 10000; m++) dp[i][j][m] = -INF; dp[0][0][0] = 0; int ans = 0; int p0 = 0, p1 = 1; for (i = 1; i <= n; i++) { for (j = 0; j <= k; j++) for (m = 0; m <= 100 * i; m++) { dp[p1][j][m] = dp[p0][j][m]; if (j && m - a[i].vol >= 0) dp[p1][j][m] = max(dp[p1][j][m], dp[p0][j - 1][m - a[i].vol] + a[i].cur); if (i == n && j == k && m >= sum) ans = max(ans, dp[p1][j][m]); } p0 ^= 1; p1 ^= 1; } printf("%d %d\n", k, sum - ans); return 0; }
#include <bits/stdc++.h> using namespace std; int n; int a[105], b[105]; pair<int, int> dp[105][20006]; bool vis[105][20006]; pair<int, int> solve(int i, int sum) { if (i == n + 1) return sum >= 0 ? make_pair(0, 0) : make_pair(100000000, 100000000); if (vis[i][sum + 10002]) return dp[i][sum + 10002]; vis[i][sum + 10002] = true; pair<int, int> takit = solve(i + 1, sum - a[i]); takit.second += a[i]; pair<int, int> leavit = solve(i + 1, sum + b[i] - a[i]); ++leavit.first; return dp[i][sum + 10002] = min(takit, leavit); } int main(int argc, const char* argv[]) { scanf("%d", &n); for (int(i) = (1); i <= (int)(n); (i)++) scanf("%d", &a[i]); for (int(i) = (1); i <= (int)(n); (i)++) scanf("%d", &b[i]); memset(dp, -1, sizeof dp); pair<int, int> ans = solve(1, 0); printf("%d %d\n", ans.first, ans.second); return 0; }
#include <bits/stdc++.h> using namespace std; struct node { int a, b; bool operator<(const node& r) const { return r.b < b; } } e[105]; int dp[10005][105]; int main() { int n, sum = 0, num = 0, sum2 = 0; scanf("%d", &n); for (int i = 0; i < n; i++) { scanf("%d", &e[i].a); sum += e[i].a; } for (int i = 0; i < n; i++) { scanf("%d", &e[i].b); sum2 += e[i].b; } sort(e, e + n); for (int i = 0; i < n; i++) { num += e[i].b; if (num >= sum) { num = i + 1; break; } } for (int i = sum2; i >= 0; i--) { for (int k = num; k >= 0; k--) { dp[i][k] = -234723846; } } dp[0][0] = 0; for (int i = 0; i < n; i++) { for (int k = sum2; k >= e[i].b; k--) { for (int j = num; j >= 1; j--) { dp[k][j] = max(dp[k][j], dp[k - e[i].b][j - 1] + e[i].a); } } } int ans = 0; for (int i = sum; i <= sum2; i++) { ans = max(ans, dp[i][num]); } printf("%d %d\n", num, sum - ans); }
#include <bits/stdc++.h> using namespace std; int dp[101][101 * 101]; int data[101]; int s[101]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n; cin >> n; int sum = 0; vector<pair<int, int> > v; for (int i = 1; i <= n; i++) cin >> data[i], sum += data[i]; for (int i = 1; i <= n; i++) { int a; cin >> a; v.push_back(pair<int, int>(a, data[i])); } sort(v.begin(), v.end(), greater<pair<int, int> >()); for (int i = 1; i <= n; i++) s[i] = s[i - 1] + v[i - 1].first; int idx = lower_bound(s + 1, s + n + 1, sum) - s; memset(dp, 192, sizeof(dp)); dp[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = i; j > 0; j--) { for (int k = v[i - 1].second; k <= sum; k++) dp[j][k] = max(dp[j][k], dp[j - 1][k - v[i - 1].second] + v[i - 1].first); } } cout << idx << ' '; for (int i = sum; i >= 0; i--) { if (dp[idx][i] >= sum) { cout << sum - i << "\n"; break; } } 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 = cnt; k >= 1; 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 = 110; int botlsiz[N], arr[N]; map<int, pair<int, int>> dp[N]; int n; pair<int, int> solve(int i, int c) { if (i == n) if (c >= 0) return {0, 0}; else return {1e6, 1e6}; if (dp[i].count(c)) return dp[i][c]; auto ans = solve(i + 1, c + arr[i]); ans.first += 1; auto tmp = solve(i + 1, c - botlsiz[i]); tmp.second += botlsiz[i]; ans = min(ans, tmp); return dp[i][c] = ans; } int main() { scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d", botlsiz + i); for (int i = 0; i < n; i++) { scanf("%d", arr + i); arr[i] -= botlsiz[i]; } auto ans = solve(0, 0); printf("%d %d\n", ans.first, ans.second); return 0; }
#include <bits/stdc++.h> using namespace std; int n, a[102], b[102]; pair<int, int> dp[102][2 * 10002]; bool vis[102][2 * 10002]; pair<int, int> solve(int i, int diff) { if (i == n + 1) return diff >= 10000 ? pair<int, int>(0, 0) : pair<int, int>(1e9, 1e9); if (vis[i][diff]) return dp[i][diff]; vis[i][diff] = true; pair<int, int> take = solve(i + 1, diff - a[i]); take.second += a[i]; pair<int, int> leave = solve(i + 1, diff + b[i] - a[i]); ++leave.first; return dp[i][diff] = min(take, leave); } int main() { cin >> n; for (int i = (1); i <= (int)(n); ++i) scanf("%d", &a[i]); for (int i = (1); i <= (int)(n); ++i) scanf("%d", &b[i]); pair<int, int> ans = solve(1, 10000); cout << ans.first << " " << ans.second; }
#include <bits/stdc++.h> using namespace std; uint64_t gcd(uint64_t a, uint64_t b) { return b ? gcd(b, a % b) : a; } bool cmp(pair<int16_t, int16_t> &a, pair<int16_t, int16_t> &b) { return a.second > b.second; } int16_t dp[101][10001][101]; int main(int argc, char *argv[]) { ios_base::sync_with_stdio(false); ifstream in("input.txt"); ofstream out("output.txt"); int16_t n, a, b, remaining = 0, available = 0, maxSum = 0, minK = 0; for (int32_t i = 0; i < 101; ++i) for (int32_t j = 0; j < 10001; ++j) for (int32_t k = 0; k < 101; ++k) if (k == 0 && j == 0) dp[i][j][k] = 0; else dp[i][j][k] = -1; cin >> n; vector<pair<int16_t, int16_t>> bottles(n); for (int32_t i = 0; i < n; ++i) { cin >> a; bottles[i].first = a; remaining += a; } for (int32_t i = 0; i < n; ++i) { cin >> b; bottles[i].second = b; available += b; } sort(bottles.begin(), bottles.end(), cmp); int32_t temp = remaining, i = 0; for (; i < n && temp > 0; ++i) { temp -= bottles[i].second; ++minK; } dp[1][bottles[0].second][1] = bottles[0].first; for (int32_t i = 2; i <= n; ++i) { for (int32_t j = 1; j <= available; ++j) for (int32_t k = 1; k <= i; ++k) { dp[i][j][k] = dp[i - 1][j][k]; if (j - bottles[i - 1].second >= 0 && dp[i - 1][j - bottles[i - 1].second][k - 1] != -1) dp[i][j][k] = max<int16_t>( dp[i][j][k], dp[i - 1][j - bottles[i - 1].second][k - 1] + bottles[i - 1].first); } } for (int32_t j = remaining; j <= available; ++j) maxSum = max(dp[n][j][minK], maxSum); cout << minK << " " << remaining - maxSum; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100 + 10; const int M = 100 * 100 + 10; int n, a[N], b[N]; int dp[M], maxw[M]; int main() { ios::sync_with_stdio(false); cin >> n; int sum = 0, total = 0; for (int i = 0; i < n; ++i) { cin >> a[i]; sum += a[i]; } for (int i = 0; i < n; ++i) { cin >> b[i]; total += b[i]; } memset(dp, -1, sizeof dp); memset(maxw, 0, sizeof maxw); dp[0] = maxw[0] = 0; for (int i = 0; i < n; ++i) { for (int k = total; k >= b[i]; --k) { if (dp[k - b[i]] != -1) { if (dp[k] == -1) { dp[k] = dp[k - b[i]] + 1; maxw[k] = maxw[k - b[i]] + a[i]; } else { if (dp[k] > dp[k - b[i]] + 1) { dp[k] = dp[k - b[i]] + 1; maxw[k] = maxw[k - b[i]] + a[i]; } else if (dp[k] == dp[k - b[i]] + 1) { maxw[k] = max(maxw[k], maxw[k - b[i]] + a[i]); } } } } } int num = 101, maxW = 0; for (int k = sum; k <= total; ++k) { if (dp[k] != -1) num = min(num, dp[k]); } for (int k = sum; k <= total; ++k) { if (dp[k] == num) maxW = max(maxW, maxw[k]); } cout << num << " " << sum - maxW << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; const long long INFF = 1e18; const double pi = acos(-1.0); const double inf = 1e18; const double eps = 1e-9; const long long mod = 1e9 + 7; const int maxmat = 10; const unsigned long long BASE = 133333331; inline void RI(int &x) { char c; while ((c = getchar()) < '0' || c > '9') ; x = c - '0'; while ((c = getchar()) >= '0' && c <= '9') x = (x << 3) + (x << 1) + c - '0'; } typedef struct node { int left, volume; } node; node a[105]; bool cmp(node a, node b) { if (a.volume != b.volume) return a.volume > b.volume; else return a.left > b.left; } int main() { int n; while (~scanf("%d", &n)) { int dp[105][10005]; int sum = 0; memset(dp, -1, sizeof(dp)); for (int i = 1; i <= n; i++) { scanf("%d", &a[i].left); sum += a[i].left; } for (int i = 1; i <= n; i++) scanf("%d", &a[i].volume); int cnt = 0; int total = 0; sort(a + 1, a + 1 + n, cmp); for (int i = 1; i <= n; i++) { total += a[i].volume; if (total >= sum) { cnt = i; break; } } dp[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = sum; (j - a[i].left) >= 0; j--) { for (int k = i; k >= 1; k--) { if (dp[k - 1][j - a[i].left] != -1) dp[k][j] = max(dp[k][j], dp[k - 1][j - a[i].left] + a[i].volume); } } } int ans = 0; for (int i = sum; i >= 1; i--) { if (dp[cnt][i] >= sum) { ans = sum - i; break; } } printf("%d %d\n", cnt, ans); } }
#include <bits/stdc++.h> using namespace std; template <typename T> inline void read(T &x) { x = 0; int f = 1; char ch = getchar(); while (!isdigit(ch)) { if (ch == '-') f = -1; ch = getchar(); } while (isdigit(ch)) { x = (x << 1) + (x << 3) + (ch ^ 48); ch = getchar(); } x *= f; } const int maxn = 110; int n; int tot, res, ans; struct bottle { int a, b; friend bool operator<(bottle a, bottle b) { return a.b > b.b; } } bt[maxn]; int f[maxn][maxn * maxn], mx; inline void dp() { memset(f, -1, sizeof(f)); f[0][0] = 0; for (int i = 1; i <= n; ++i) for (int j = mx; j >= bt[i].b; --j) for (int k = 1; k <= res; ++k) if (f[k - 1][j - bt[i].b] >= 0) f[k][j] = max(f[k][j], f[k - 1][j - bt[i].b] + bt[i].a); } int main() { read(n); for (int i = 1; i <= n; ++i) { read(bt[i].a); tot += bt[i].a; } for (int i = 1; i <= n; ++i) { read(bt[i].b); mx += bt[i].b; } sort(bt + 1, bt + n + 1); ans = tot; for (int i = 1; i <= n; ++i) { if (tot > bt[i].b) tot -= bt[i].b; else { res = i; break; } } dp(); int maxx = 0; for (int i = ans; i <= mx; ++i) maxx = max(maxx, f[res][i]); cout << res << ' ' << ans - maxx; return 0; }
#include <bits/stdc++.h> using namespace std; int n; int a[105], b[105]; pair<int, int> dp[105][105 * 105]; bool seen[105][105 * 105]; int tsa; pair<int, int> f(int i, int sb) { if (seen[i][sb]) return dp[i][sb]; seen[i][sb] = true; if (i == n) { if (sb >= tsa) { return dp[i][sb] = make_pair(0, 0); } else { return dp[i][sb] = make_pair(105, 0); } } else { auto p = f(i + 1, sb); p.second += a[i]; auto op = f(i + 1, sb + b[i]); op.first += 1; return dp[i][sb] = min(op, p); } } int main() { scanf("%d", &n); for (int i = (0); i < (n); i++) { scanf("%d", a + i); tsa += a[i]; } for (int i = (0); i < (n); i++) scanf("%d", b + i); auto p = f(0, 0); printf("%d %d\n", p.first, p.second); return 0; }
#include <bits/stdc++.h> using namespace std; typedef struct node { int left, volume; } node; node a[105]; bool cmp(node a, node b) { if (a.volume != b.volume) return a.volume > b.volume; else return a.left > b.left; } int main() { int n; while (~scanf("%d", &n)) { int dp[105][10005]; int sum = 0; memset(dp, -1, sizeof(dp)); for (int i = 1; i <= n; i++) { scanf("%d", &a[i].left); sum += a[i].left; } for (int i = 1; i <= n; i++) scanf("%d", &a[i].volume); int cnt = 0; int total = 0; sort(a + 1, a + 1 + n, cmp); for (int i = 1; i <= n; i++) { total += a[i].volume; if (total >= sum) { cnt = i; break; } } dp[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = sum; (j - a[i].left) >= 0; j--) { for (int k = i; k >= 1; k--) { if (dp[k - 1][j - a[i].left] != -1) dp[k][j] = max(dp[k][j], dp[k - 1][j - a[i].left] + a[i].volume); } } } int ans = 0; for (int i = sum; i >= 1; i--) { if (dp[cnt][i] >= sum) { ans = sum - i; break; } } printf("%d %d\n", cnt, ans); } }
#include <bits/stdc++.h> using namespace std; inline int max(int x, int y) { return x > y ? x : y; } int n; struct node { int a, b; bool operator<(const node &rhs) const { return b > rhs.b; } } p[110]; int d[110][110 * 110]; int main() { int sum = 0, w = 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); w += p[i].b; } sort(p + 1, p + 1 + n); int cnt = 1; int ssum = sum; while (ssum - p[cnt].b > 0) ssum -= p[cnt++].b; memset(d, -1, sizeof d); for (int i = 1; i <= n; i++) { for (int j = i; j >= 2; j--) for (int k = w; k >= 1; k--) { if (d[j - 1][k] != -1) d[j][k] = d[j - 1][k]; if (k >= p[i].b && d[j - 1][k - p[i].b] != -1) d[j][k] = max(d[j - 1][k - p[i].b] + p[i].a, d[j][k]); } d[1][p[i].b] = max(d[1][p[i].b], p[i].a); } int ans = 0; for (int i = w; i >= sum; i--) { if (d[cnt][i] > ans) ans = d[cnt][i]; } printf("%d %d\n", cnt, sum - ans); }
#include <bits/stdc++.h> using namespace std; int n; int a[205], b[205], sum; const int W = 10010; int dp[205][10500]; int C[205][10500]; int main() { int i, j; scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d", &b[i]); sum += b[i]; } for (i = 1; i <= n; i++) { scanf("%d", &a[i]); } for (i = 0; i <= W; i++) dp[0][i] = W * 10; dp[0][0] = 0; for (i = 1; i <= n; i++) { for (j = 0; j <= W; j++) if (j >= a[i]) { if (dp[i - 1][j] == dp[i - 1][j - a[i]] + 1) { dp[i][j] = dp[i - 1][j]; C[i][j] = max(C[i - 1][j], C[i - 1][j - a[i]] + b[i]); continue; } if (dp[i - 1][j] > dp[i - 1][j - a[i]] + 1) { dp[i][j] = dp[i - 1][j - a[i]] + 1; C[i][j] = C[i - 1][j - a[i]] + b[i]; } else { dp[i][j] = dp[i - 1][j]; C[i][j] = C[i - 1][j]; } } else { dp[i][j] = dp[i - 1][j]; C[i][j] = C[i - 1][j]; } } int ans = n + 3, val = 0; for (i = sum; i <= W; i++) if (dp[n][i] < ans && dp[n][i] != 0) { ans = dp[n][i]; val = C[n][i]; } else if (dp[n][i] == ans) val = max(val, C[n][i]); printf("%d %d\n", ans, sum - val); return 0; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:128000000") using namespace std; void solve(); void precalc(); int TESTNUM = 0; int main() { string s = ""; cin.tie(0); cout.sync_with_stdio(0); cout.precision(10); cout << fixed; precalc(); int t = 1; while (t--) { ++TESTNUM; solve(); } return 0; } template <typename T> T binpow(T q, T w, T mod) { if (!w) return 1 % mod; if (w & 1) return q * 1LL * binpow(q, w - 1, mod) % mod; return binpow(q * 1LL * q % mod, w / 2, mod); } void precalc() {} template <typename T> T gcd(T q, T w) { while (w) { q %= w; swap(q, w); } return q; } template <typename T> T lcm(T q, T w) { return q / gcd(q, w) * w; } inline int nxt() { int x; cin >> x; return x; } const int C = 100 * 101; void solve() { int n; cin >> n; vector<int> a(n), b(n); int a_sum = 0; for (int i = 0; i < n; ++i) { cin >> a[i]; a_sum += a[i]; } for (int i = 0; i < n; ++i) { cin >> b[i]; } vector<vector<vector<int>>> dp( 2, vector<vector<int>>(n + 1, vector<int>(C, 1e9))); dp[0][0][0] = 0; int par = 0; for (int i = 0; i < n; ++i) { dp[par ^ 1].assign(n + 1, vector<int>(C, 1e9)); for (int used = 0; used <= i; ++used) { for (int sum = 0; sum < C; ++sum) { dp[par ^ 1][used][sum] = min(dp[par ^ 1][used][sum], dp[par][used][sum] + a[i]); if (sum + b[i] < C) { dp[par ^ 1][used + 1][sum + b[i]] = min(dp[par ^ 1][used + 1][sum + b[i]], dp[par][used][sum]); } } } par ^= 1; } int used = 0; while (true) { bool f = false; for (int sum = a_sum; sum < C; ++sum) { if (dp[par][used][sum] < 1e8) { f = true; break; } } if (f) { break; } ++used; } cout << used << " "; int res = 1e9; for (int sum = a_sum; sum < C; ++sum) { res = min(res, dp[par][used][sum]); } cout << res << "\n"; }
#include <bits/stdc++.h> using namespace std; long long n, a[101], b[101]; vector<vector<long long>> dp(101, vector<long long>(10001, -10000000000)); signed main() { cin.tie(0); cout.tie(0); ios_base::sync_with_stdio(false); cin >> n; for (long long i = 1; i <= n; i++) { cin >> a[i]; } for (long long i = 1; i <= n; i++) { cin >> b[i]; } dp[0][0] = 0; vector<vector<long long>> dp_new(101, vector<long long>(10001)); dp_new = dp; dp[1][b[1]] = a[1]; for (long long i = 2; i <= n; i++) { for (long long j = 1; j <= n; j++) { for (long long k = 1; k <= 10000; k++) { dp_new[j][k] = dp[j][k]; if (k > b[i]) { dp_new[j][k] = max(dp_new[j][k], dp[j - 1][k - b[i]] + a[i]); } } } dp_new[1][b[i]] = max(dp_new[1][b[i]], a[i]); dp = dp_new; } sort(b + 1, b + n + 1); long long sm = 0; for (long long i = 1; i <= n; i++) sm += a[i]; long long k; for (long long i = n; i >= 0; i--) { if (sm <= 0) { k = n - i; break; } sm -= b[i]; } sm = 0; for (long long i = 1; i <= n; i++) sm += a[i]; long long ans = 10000000000; for (long long i = sm; i <= 10000; i++) { ans = min(ans, sm - dp[k][i]); } cout << k << " " << ans << '\n'; }
#include <bits/stdc++.h> using namespace std; struct ura { int a, b; } v[105]; int d[10005][105]; bool cmp(ura a, ura b) { return a.b < b.b; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); long long i, j = 0, n, mn = 9999999999LL, k = 0, pz = -1, s1 = 0, s2 = 0, sc = 0; cin >> n; if (n == 1) { cout << 1 << ' ' << 0; return 0; } for (i = 1; i <= n; ++i) { cin >> v[i].a; s1 += v[i].a; } for (i = 1; i <= n; ++i) { cin >> v[i].b; s2 += v[i].b; } sort(v + 1, v + n + 1, cmp); for (i = n; i >= 1; --i) { sc += v[i].b; ++k; if (sc >= s1) break; } cout << k << ' '; k = n - k; for (pz = 1; pz <= n; ++pz) { for (j = k - 1; j >= 1; --j) { for (i = 1; i <= s2 - s1 - v[pz].b; ++i) { if (d[i][j]) { if (d[i + v[pz].b][j + 1]) d[i + v[pz].b][j + 1] = min(d[i + v[pz].b][j + 1], d[i][j] + v[pz].a); else d[i + v[pz].b][j + 1] = d[i][j] + v[pz].a; } } } if (d[v[pz].b][1]) d[v[pz].b][1] = min(d[v[pz].b][1], v[pz].a); else d[v[pz].b][1] = v[pz].a; } for (i = 1; i <= s2 - s1; ++i) { if (d[i][k]) if (d[i][k] < mn) mn = d[i][k]; } if (mn == 9999999999LL) cout << 0; else cout << mn; }
#include <bits/stdc++.h> using namespace std; pair<int, int> a[105]; int dp[3][103][10005]; int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n; cin >> n; int tv = 0; for (int i = 1; i <= n; i++) { cin >> a[i].second; tv += a[i].second; } for (int i = 1; i <= n; i++) cin >> a[i].first; sort(a + 1, a + n + 1); int tv1 = 0; int k; for (int i = n; i >= 1; i--) { tv1 += a[i].first; if (tv1 >= tv) { k = n - i + 1; break; } } int ans = 0; for (int j = 0; j <= k; j++) { for (int u = 0; u <= 10000; u++) { dp[2][j][u] = -100000000; } } dp[2][0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = 1; j <= k; j++) { for (int u = 0; u <= 10000; u++) { if (u >= a[i].first) { dp[1][j][u] = max(dp[2][j][u], dp[2][j - 1][u - a[i].first] + a[i].second); } else dp[1][j][u] = dp[2][j][u]; if (j == k && u >= tv) ans = max(ans, dp[1][j][u]); } } for (int j = 1; j <= k; j++) { for (int u = 1; u <= 10000; u++) dp[2][j][u] = dp[1][j][u]; } } cout << k << '\n'; cout << tv - ans << '\n'; }
#include <bits/stdc++.h> #pragma comment(linker, "/STACK:167772160000") using namespace std; pair<int, int> bottles[110]; int totAmount; pair<int, int> dp[110][11000]; int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; for (int i = 0; i < (n); i++) { cin >> bottles[i].second; } for (int i = 0; i < (n); i++) cin >> bottles[i].first; for (int i = 0; i < (n + 1); i++) for (int j = 0; j < (11000); j++) dp[i][j] = pair<int, int>(1E8, 1E8); dp[0][0] = pair<int, int>(0, 0); for (int i = 0; i < (n); i++) { totAmount += bottles[i].second; for (int j = 0; j < (11000); j++) { dp[i + 1][j] = min(dp[i][j], dp[i + 1][j]); for (int k = 0; k <= bottles[i].first; k++) { if (k <= bottles[i].second) dp[i + 1][j + k] = min(dp[i + 1][j + k], pair<int, int>(dp[i][j].first + 1, dp[i][j].second)); else dp[i + 1][j + k] = min(dp[i + 1][j + k], pair<int, int>(dp[i][j].first + 1, dp[i][j].second + k - bottles[i].second)); } } } cout << dp[n][totAmount].first << " " << dp[n][totAmount].second << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 105; const int M = 10005; int n, m, k, a[N], b[N]; int sa, sb, id[N]; int f[N][M], ans; bool cmp(int i, int j) { return b[i] > b[j]; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) id[i] = i; sa = sb = 0; for (int i = 1; i <= n; i++) { scanf("%d", &a[i]); sa += a[i]; } for (int i = 1; i <= n; i++) { scanf("%d", &b[i]); sb += b[i]; }; m = sb - sa; sort(id + 1, id + n + 1, cmp); for (int i = 1; i <= n; i++) { sa -= b[id[i]]; if (sa <= 0) { k = i; break; } } k = n - k; memset(f, -1, sizeof(f)); f[0][0] = 0; for (int h = 1; h <= n; h++) for (int i = min(k, h); i >= 1; i--) for (int j = m - b[h]; j >= 0; j--) if (f[i - 1][j] != -1 && (f[i][j + b[h]] == -1 || f[i - 1][j] + a[h] < f[i][j + b[h]])) f[i][j + b[h]] = f[i - 1][j] + a[h]; ans = M; for (int i = 0; i <= m; i++) if (f[k][i] != -1) ans = min(ans, f[k][i]); printf("%d %d\n", n - k, ans); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0, o = 1; char ch = getchar(); while (ch != '-' && (ch < '0' || ch > '9')) ch = getchar(); if (ch == '-') o = -1, ch = getchar(); while (ch >= '0' && ch <= '9') x = x * 10 + ch - '0', ch = getchar(); return x * o; } const int N = 105; int sum1, sum2, ans1, ans2, f[N][N * N]; struct ppx { int res, val; } a[N]; inline bool cmp(ppx x, ppx y) { return x.val == y.val ? x.res > y.res : x.val > y.val; } int main() { int n = read(); for (int i = 1; i <= n; ++i) { a[i].res = read(); sum1 += a[i].res; } for (int i = 1; i <= n; ++i) { a[i].val = read(); sum2 += a[i].val; } int now = 0; sort(a + 1, a + n + 1, cmp); for (int i = 1; i <= n; ++i) { now += a[i].val; if (now >= sum1) { ans1 = i; break; } } memset(f, -0x3f, sizeof(f)); f[0][0] = 0; for (int i = 1; i <= n; ++i) for (int j = sum2; j >= a[i].val; --j) for (int k = 1; k <= ans1; ++k) f[k][j] = max(f[k][j], f[k - 1][j - a[i].val] + a[i].res); for (int i = sum1; i <= sum2; ++i) ans2 = max(ans2, f[ans1][i]); printf("%d %d\n", ans1, sum1 - ans2); return 0; }
#include <bits/stdc++.h> using namespace std; int dp[105][10010]; int a[105], b[105]; int main() { ios_base::sync_with_stdio(false); int i, j, k, n; cin >> n; for (i = 0; i < n; i++) cin >> a[i]; for (i = 0; i < n; i++) cin >> b[i]; memset(dp, -1, sizeof(dp)); dp[0][0] = 0; int s, t; s = t = 0; for (i = 0; i < n; i++) { for (j = i; j >= 0; j--) { for (k = 0; k <= t; k++) { if (dp[j][k] != -1) { dp[j + 1][k + b[i]] = max(dp[j + 1][k + b[i]], dp[j][k] + a[i]); } } } s += a[i]; t += b[i]; } sort(b, b + n); reverse(b, b + n); int ans1, ans2; ans1 = k = 0; ans2 = 1099999; while (k < s) { k += b[ans1]; ans1++; } for (i = s; i <= t; ++i) ans2 = min(ans2, s - dp[ans1][i]); cout << ans1 << " " << ans2 << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using vi = vector<long long int>; using vvi = vector<vi>; using vb = vector<bool>; using vc = vector<char>; using vs = vector<string>; using vld = vector<long double>; using pii = pair<long long int, long long int>; using psi = pair<string, long long int>; using pci = pair<char, long long int>; using vpii = vector<pii>; long long int const mod = 1e9 + 7; long long int const maxn = 1e5 + 5; long long int const inf = 1e18; long long int add(long long int a, long long int b) { return ((a % mod) + (b % mod)) % mod; } long long int mul(long long int a, long long int b) { return ((a % mod) * (b % mod)) % mod; } long long int powm(long long int x, long long int n, long long int M) { long long int result = 1; while (n > 0) { if (n % 2 == 1) result = (result * x) % M; x = (x * x) % M; n = n / 2; } return result; } long long int modinverse(long long int a, long long int m) { return powm(a, m - 2, m); } bool prime(long long int x) { if (x <= 1) return false; for (int i = 2; i <= sqrt(x); i++) if (x % i == 0) return false; return true; } long long int divisor(long long int x) { long long int cnt = 0; for (int i = 1; i <= sqrt(x); i++) { if (x % i == 0) { if (i != x / i) cnt += 2; else cnt += 1; } } return cnt; } vector<long long int> sieve(long long int n) { bool prim[n + 1]; memset(prim, true, sizeof(prim)); for (long long int p = 2; p * p <= n; p++) { if (prim[p] == true) { for (int i = p * p; i <= n; i += p) prim[i] = false; } } vector<long long int> v; for (int i = 2; i <= n; i++) if (prim[i]) v.push_back(i); return v; } long long int const N = 100; long long int a[N]; long long int b[N]; long long int n; pii dp[N][N * N + N]; bool vis[N][N * N + N]; pii fun(long long int pos, long long int kitna_jagah) { if (pos == n) { if (kitna_jagah >= 0) { return {0, 0}; } return {1e9, 1e9}; } pii &ans = dp[pos][kitna_jagah]; if (vis[pos][kitna_jagah] != false) return ans; vis[pos][kitna_jagah] = true; pii cur1 = fun(pos + 1, kitna_jagah - a[pos]); cur1.second += a[pos]; pii cur2 = fun(pos + 1, kitna_jagah + (b[pos] - a[pos])); cur2.first += 1; return ans = min(cur1, cur2); } void solve() { cin >> n; for (int i = 0; i < n; i++) cin >> a[i]; for (int i = 0; i < n; i++) cin >> b[i]; pii ans = fun(0, 0); cout << ans.first << " " << ans.second; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); ; long long int t; t = 1; while (t--) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, need, sum, ans; int f[110][10010], a[110], b[110]; int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d", &a[i]); need += a[i]; } for (int i = 1; i <= n; i++) { scanf("%d", &b[i]); sum += b[i]; } memset(f, 0xff, sizeof(f)); f[0][0] = 0; for (int i = 1; i <= n; i++) for (int j = n; j >= 1; j--) for (int k = sum; k >= b[i]; k--) if (f[j - 1][k - b[i]] != -1) f[j][k] = max(f[j][k], f[j - 1][k - b[i]] + a[i]); ans = -1; for (int j = 1; j <= n; j++) { for (int k = need; k <= sum; k++) ans = max(ans, f[j][k]); if (ans != -1) { printf("%d %d", j, need - ans); break; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; const long long INF = (1uLL << 63) - 1; const long long mod = 1e9 + 7; const double Pi = acos(-1.0); const int maxn = 1e6 + 5; struct node { int a, b; } A[105]; bool cmp(node X, node Y) { return X.b > Y.b; } int dp[105][10005]; int main() { ios::sync_with_stdio(false); cin.tie(0); int n, V = 0; int Big = 0; cin >> n; memset(dp, -1, sizeof dp); for (int i = 0; i < n; i++) cin >> A[i].a, V += A[i].a; for (int i = 0; i < n; i++) cin >> A[i].b, Big += A[i].b; sort(A, A + n, cmp); int anst = 0; int S = 0; for (int i = 0; i < n; i++) { S += A[i].b; if (S >= V) { anst = i + 1; break; } } dp[0][0] = 0; for (int i = 0; i < n; i++) { for (int j = anst - 1; j >= 0; j--) { for (int v = 10000 - A[i].a; v >= 0; v--) { if (dp[j][v] != -1) { dp[j + 1][v + A[i].a] = max(dp[j + 1][v + A[i].a], dp[j][v] + A[i].b); } } } } int ans = 0; for (int i = 10000; i >= 0; i--) { if (dp[anst][i] >= V) { ans = i; break; } } cout << anst << " " << V - ans << endl; }
#include <bits/stdc++.h> using namespace std; int n, sum; int dp[105][10005]; struct node { int a, b; } m[105]; bool cmp(node a, node b) { if (a.b == b.b) return a.a < b.a; return a.b < b.b; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d", &m[i].a); sum += m[i].a; } for (int i = 1; i <= n; i++) scanf("%d", &m[i].b); sort(m + 1, m + n + 1, cmp); int ans = 0; int ii; for (int i = n; i >= 1; i--) { ans += m[i].b; if (ans >= sum) { ii = i; printf("%d ", n - i + 1); break; } } int nn = n - ii + 1; for (int k = 1; k <= n; k++) for (int i = min(k, nn); i >= 1; i--) { if (i == 1) dp[1][m[k].b] = max(dp[1][m[k].b], m[k].a); else for (int j = 10000; j >= 0; j--) { if (dp[i - 1][j] == 0) continue; dp[i][j + m[k].b] = max(dp[i - 1][j] + m[k].a, dp[i][j + m[k].b]); } } int anss = 0; for (int i = sum; i <= 10000; i++) { if (dp[nn][i] > anss) anss = dp[nn][i]; } printf("%d\n", sum - anss); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 105; int n, a[N], b[N]; pair<int, int> dp[N][N * N]; void init() { for (int i = 0; i < N; i++) { for (int j = 0; j < N * N; j++) dp[i][j] = {-1, -1}; } } pair<int, int> sum(pair<int, int> p1, pair<int, int> p2) { return make_pair(p1.first + p2.first, p1.second + p2.second); } pair<int, int> solve(int idx, int rem) { if (rem <= 0) return {0, 0}; if (idx == n) return {(int)1 << 30, (int)1 << 30}; if (dp[idx][rem] != make_pair(-1, -1)) return dp[idx][rem]; int mn = min(b[idx] - a[idx], rem - a[idx]); return dp[idx][rem] = min(sum(solve(idx + 1, rem - mn - a[idx]), make_pair(1, mn)), solve(idx + 1, rem)); } int main() { scanf("%d", &n); int tot = 0; for (int i = 0; i < n; i++) scanf("%d", &a[i]), tot += a[i]; for (int i = 0; i < n; i++) scanf("%d", &b[i]); init(); pair<int, int> ans = solve(0, tot); printf("%d %d", ans.first, ans.second); }
#include <bits/stdc++.h> using namespace std; template <typename T, typename U> inline void chkmax(T& x, U y) { if (x < y) x = y; } template <typename T, typename U> inline void chkmin(T& x, U y) { if (y < x) x = y; } int k, t, a[111], tot, id[111], dp[111][111 * 111], b[111], s, n; bool cmp(int u, int v) { return b[u] > b[v]; } int main() { scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d", &a[i]), tot += a[i]; for (int i = 0; i < n; i++) scanf("%d", &b[i]), id[i] = i; sort(id, id + n, cmp); for (int i = 0; i < n; i++) { s += b[id[i]]; if (s >= tot) { k = i + 1; break; } } for (int i = 0; i <= k; i++) for (int j = 0; j < 111 * 111; j++) dp[i][j] = -1e8; dp[0][0] = 0; for (int i = 0; i < n; i++) { for (int j = k; j >= 1; j--) for (int l = 0; l < 111 * 111 - b[i]; l++) { chkmax(dp[j][l + b[i]], dp[j - 1][l] + a[i]); } } t = 1e8; for (int j = tot; j < 111 * 111; j++) chkmin(t, tot - dp[k][j]); cout << k << " " << t << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int n, p, S1[1000000], S2[1000000], s1, s2, t, T; bool M[1000000]; struct par { int v, t; bool operator<(const par &R) const { if (t != R.t) return t > R.t; return v > R.v; } } A[100000]; int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> A[i].v; t += A[i].v; } for (int i = 1; i <= n; i++) { cin >> A[i].t; T += A[i].t; } M[0] = true; fill(S1 + 1, S1 + T + 1, 1 << 30); for (int i = 1; i <= n; i++) { for (int j = T - A[i].t; j >= 0; j--) { if (M[j]) { M[j + A[i].t] = true; if (S1[j + A[i].t] > S1[j] + 1) { S1[j + A[i].t] = S1[j] + 1; S2[j + A[i].t] = S2[j] + A[i].v; } if (S1[j + A[i].t] == S1[j] + 1) S2[j + A[i].t] = max(S2[j + A[i].t], S2[j] + A[i].v); } } } s1 = 1 << 30; for (int i = t; i <= T; i++) { if (!M[i]) continue; if (s1 > S1[i]) { s1 = S1[i]; s2 = S2[i]; } if (s1 == S1[i]) s2 = max(s2, S2[i]); } cout << s1 << " " << t - s2 << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100 + 50; int dp[maxn][maxn * maxn]; struct Node2 { int a, b; } t[maxn]; bool cmp2(Node2 x, Node2 y) { if (x.b != y.b) return x.b > y.b; else return x.a > y.a; } int main() { int n, sum = 0, summ = 0, cnt = 0; scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d", &t[i].a), sum += t[i].a; for (int i = 1; i <= n; i++) scanf("%d", &t[i].b); sort(t + 1, t + 1 + n, cmp2); for (int i = 1; i <= n; i++) { summ += t[i].b; if (summ >= sum) { cnt = i; break; } } memset(dp, -1, sizeof(dp)); dp[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = sum; j >= t[i].a; j--) { for (int k = i; k >= 1; k--) { if (dp[k - 1][j - t[i].a] != -1) dp[k][j] = max(dp[k][j], dp[k - 1][j - t[i].a] + t[i].b); } } } int ans = 0; for (int i = sum; i >= 1; i--) { if (dp[cnt][i] >= sum) { ans = sum - i; break; } } printf("%d %d\n", cnt, ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 100000000; const int N = 103; const int M = N * N; int n; int a[N]; int b[N]; int dp[N][M]; int main() { scanf("%d", &n); for (int i = 0; i < n; i++) scanf("%d", &a[i]); for (int i = 0; i < n; i++) scanf("%d", &b[i]); for (int i = 0; i <= n; i++) for (int j = 0; j < M; j++) dp[i][j] = INF; dp[0][0] = 0; for (int i = 0; i < n; i++) { for (int j = i; j >= 0; j--) { for (int x = 0; x < M; x++) { if (dp[j][x] == INF) continue; dp[j + 1][x + a[i]] = min(dp[j + 1][x + a[i]], dp[j][x] + b[i]); } } } int k = n, t = 0; int S = 0; for (int i = 0; i < n; i++) S += b[i] - a[i]; for (int i = 0; i <= n; i++) for (int x = 0; x < M; x++) { if (dp[i][x] <= S) { int nk = n - i, nt = x; if (nk < k || (nk == k && nt < t)) { k = nk; t = nt; } } } printf("%d %d\n", k, t); return 0; }
#include <bits/stdc++.h> using namespace std; struct Node { int a, b; } x[110]; bool cmp(Node i, Node j) { if (i.a == j.a) return i.b > j.b; else return i.a > j.a; } int n, ans, sum, k, dp[110][10010], sumv; int main() { while (~scanf("%d", &n)) { sumv = ans = sum = k = 0; for (int i = 0; i < n; i++) { scanf("%d", &x[i].b); sum += x[i].b; } for (int i = 0; i < n; i++) { scanf("%d", &x[i].a); sumv += x[i].a; } sort(x, x + n, cmp); int temp = sum, cnt = 0; while (temp > 0) { temp -= x[cnt++].a; k++; } memset(dp, -0x3f3f3f3f, sizeof(dp)); dp[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = sumv; j >= x[i - 1].a; j--) { for (int u = 1; u <= k; u++) { dp[u][j] = max(dp[u][j], dp[u - 1][j - x[i - 1].a] + x[i - 1].b); } } } ans = -0x3f3f3f3f; for (int i = sum; i <= sumv; i++) ans = max(ans, dp[k][i]); printf("%d %d\n", k, sum - ans); } }
#include <bits/stdc++.h> using namespace std; const int N = 101, INF = 0x3f3f3f3f; int a[N], b[N], dp[2][N][2 * N * N]; int main() { int n; scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d", &a[i]); for (int i = 1; i <= n; i++) scanf("%d", &b[i]); memset(dp, 0x3f, sizeof dp); for (int i = N * N; i < 2 * N * N; i++) dp[0][0][i] = 0; int q = 1; for (int i = 1; i <= n; i++) { for (int j = 0; j <= n; j++) { for (int k = 0; k < 2 * N * N; k++) { dp[q][j][k] = min( k >= a[i] ? a[i] + dp[q ^ 1][j][k - a[i]] : INF, j && k + b[i] >= a[i] ? dp[q ^ 1][j - 1][k + b[i] - a[i]] : INF); } } q ^= 1; } for (int i = 1; i <= n; i++) { if (dp[q ^ 1][i][N * N] < INF) { printf("%d %d\n", i, dp[q ^ 1][i][N * N]); return 0; } } }
#include <bits/stdc++.h> using namespace std; const int MAX_N = 100; pair<int, int> d[MAX_N + 1]; int F[MAX_N + 1][MAX_N * MAX_N + 1]; int main() { int n, sum = 0; scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d", &d[i].second); sum += d[i].second; } for (int i = 1; i <= n; i++) { scanf("%d", &d[i].first); } sort(d + 1, d + 1 + n, [](pair<int, int> a, pair<int, int> b) { return a.first > b.first; }); int cnt = 0, now = 0; for (int i = 1; i <= n; i++) { now += d[i].first; cnt++; if (now >= sum) break; } memset(F, -1, sizeof(F)); F[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = sum - d[i].second; j >= 0; j--) { for (int k = i - 1; k >= 0; k--) if (F[k][j] != -1) { F[k + 1][j + d[i].second] = max(F[k + 1][j + d[i].second], F[k][j] + d[i].first); } } } int ans = 0; for (int i = sum; i >= 0; i--) { if (F[cnt][i] >= sum) { ans = i; break; } } printf("%d %d\n", cnt, sum - ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = (1 << 17) + 10; const int inf = 0x3f3f3f3f; const long long linf = 0x3f3f3f3f3f3f3f3f; int n; struct NODE { int a, b; } node[110]; bool cmp(NODE x, NODE y) { return x.b > y.b; } int dp[2][110][10010], sum[110]; int main() { ios_base::sync_with_stdio(false); cin >> n; int tot = 0, cnt = 0, tmp = 0; for (int i = 1; i <= n; i++) { cin >> node[i].a; tot += node[i].a; } for (int i = 1; i <= n; i++) { cin >> node[i].b; } if (n == 1) { cout << 1 << " " << 0 << endl; return 0; } sort(node + 1, node + 1 + n, cmp); for (int i = 1; i <= n; i++) { tmp += node[i].b; cnt++; if (tmp >= tot) break; } sum[0] = 0; for (int i = 1; i <= n; i++) { sum[i] = sum[i - 1] + node[i].a; } memset(dp, -inf, sizeof(dp)); dp[0][0][0] = dp[1][0][0] = 0; int t = 0; for (int i = 1; i <= n; i++, t = t ^ 1) { for (int j = 1; j <= i && j <= cnt; j++) { for (int k = 0; k <= sum[i]; k++) { dp[t][j][k] = dp[t ^ 1][j][k]; if (k >= node[i].a) { dp[t][j][k] = max(dp[t][j][k], dp[t ^ 1][j - 1][k - node[i].a] + node[i].b); } } } } for (int i = tot; i >= 0; i--) { if (dp[t ^ 1][cnt][i] >= tot) { cout << cnt << " " << tot - i << endl; break; } } return 0; }
#include <bits/stdc++.h> using namespace std; int dp[2][110][110 * 110]; int a[110], b[110], c[110]; template <typename T> void smax(T& x, T y) { if (x < y) x = y; } int main() { int N, S, K, SS, tp, ans; scanf("%d", &N); for (int i = 0; i < N; i++) scanf("%d", a + i); for (int i = 0; i < N; i++) scanf("%d", b + i); for (int i = 0; i < N; i++) c[i] = b[i]; sort(c, c + N); reverse(c, c + N); S = 0; for (int i = 0; i < N; i++) S += a[i]; for (int i = 0; i < N; i++) { S -= c[i]; if (S <= 0) { K = i + 1; break; } } S = 0; for (int i = 0; i < N; i++) S += a[i]; SS = 0; for (int i = 0; i < N; i++) SS += b[i]; tp = 0; memset(dp[tp], 0xff, sizeof(dp[tp])); dp[tp][0][0] = 0; dp[tp][1][b[0]] = a[0]; for (int i = 1; i < N; i++) { for (int k = 0; k <= K; k++) for (int j = 0; j <= SS; j++) { dp[tp ^ 1][k][j] = -1; if (k == 0 && j == 0) { dp[tp ^ 1][k][j] = 0; continue; } dp[tp ^ 1][k][j] = dp[tp][k][j]; if (k && j >= b[i] && dp[tp][k - 1][j - b[i]] != -1) { smax(dp[tp ^ 1][k][j], dp[tp][k - 1][j - b[i]] + a[i]); } } tp = tp ^ 1; } ans = 0; for (int i = S; i <= SS; i++) smax(ans, dp[tp][K][i]); printf("%d %d\n", K, S - ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 105; int n, s; struct Data { int res, van; friend bool operator<(Data x, Data y) { return x.van > y.van; } } a[N]; int sum, p, f[N][N * N]; int main() { scanf("%d", &n); for (int i = 1; i <= n; ++i) scanf("%d", &a[i].res), s += a[i].res; for (int i = 1; i <= n; ++i) scanf("%d", &a[i].van); sort(a + 1, a + n + 1); for (int i = 1; i <= n; ++i) { sum += a[i].van; if (sum >= s) { p = i; printf("%d ", i); break; } } memset(f, -1, sizeof(f)); f[0][0] = 0; for (int i = 1; i <= n; ++i) for (int j = s - a[i].res; j >= 0; --j) for (int k = i - 1; k >= 0; --k) if (~f[k][j]) f[k + 1][j + a[i].res] = max(f[k + 1][j + a[i].res], f[k][j] + a[i].van); for (int i = s; i >= 0; --i) if (f[p][i] >= s) { printf("%d\n", s - i); return 0; } }
#include <bits/stdc++.h> using namespace std; struct node { int x, y; } s[105]; int cmp(node a, node b) { return a.y > b.y; } int i, n, k, t, j, m, sum = 0, ans = 0; int dp[105][100005]; int main() { scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d", &s[i].x); sum += s[i].x; } for (i = 1; i <= n; i++) scanf("%d", &s[i].y); sort(s + 1, s + n + 1, cmp); for (i = 1; i <= n; i++) { ans += s[i].y; if (ans >= sum) { k = i; break; } } memset(dp, -1, sizeof(dp)); dp[0][0] = 0; for (i = 1; i <= n; i++) { for (j = sum - s[i].x; j >= 0; j--) { for (m = i - 1; m >= 0; m--) { if (dp[m][j] != -1) dp[m + 1][j + s[i].x] = max(dp[m + 1][j + s[i].x], dp[m][j] + s[i].y); } } } for (i = sum; i >= 0; i--) { if (dp[k][i] >= sum) { t = i; break; } } printf("%d %d\n", k, sum - t); }
#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; const int N = 1e2 + 5; struct node { int a, b; } c[N]; int n, ans, suma, sumb, k = 0, f[N * N][N]; bool cmp(node x, node y) { return x.b > y.b; } int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> c[i].a; suma += c[i].a; } for (int i = 1; i <= n; i++) { cin >> c[i].b; } sort(c + 1, c + n + 1, cmp); while (sumb < suma) sumb += c[++k].b; cout << k << " "; memset(f, 128, sizeof(f)); f[0][0] = 0; for (int i = 1; i <= n; i++) for (int j = sumb; j >= c[i].b; j--) for (int kk = 1; kk <= k; kk++) { f[j][kk] = max(f[j][kk], f[j - c[i].b][kk - 1] + c[i].a); } for (int i = suma; i <= sumb; i++) ans = max(ans, f[i][k]); cout << suma - ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 101; int n, a[maxn], b[maxn], f[maxn][10000], water = 0, ans = 0, m, q, w = 0, g[maxn][10000]; priority_queue<int> que; int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d", &a[i]); water += a[i]; } for (int i = 1; i <= n; i++) { scanf("%d", &b[i]); que.push(b[i]); w += b[i]; } int tot = 0; while (tot < water) { ans++; int x = que.top(); que.pop(); tot += x; } printf("%d ", ans); m = n - ans; q = w - water; memset(g, 63, sizeof(g)); for (int i = 0; i <= q; i++) g[0][i] = 0; for (int i = b[1]; i <= q; i++) g[1][i] = a[1]; for (int i = 2; i <= n; i++) { memset(f, 63, sizeof(f)); for (int j = 0; j <= q; j++) { f[0][j] = 0; } for (int j = 1; j <= m; j++) { if (j > i) continue; for (int k = 0; k <= q; k++) { f[j][k] = g[j][k]; if (k >= b[i]) f[j][k] = min(f[j][k], g[j - 1][k - b[i]] + a[i]); } } for (int j = 0; j <= m; j++) for (int k = 0; k <= q; k++) g[j][k] = f[j][k]; } printf("%d\n", g[m][q]); return 0; }
#include <bits/stdc++.h> using namespace std; vector<vector<vector<int>>> dp; vector<int> p; int check(vector<pair<int, int>>& a, int curr, int capa, int count, int mini, int sum) { if (dp[curr][count][capa] != 1000000000) return dp[curr][count][capa]; if (curr == a.size() && count == mini && capa >= sum) return dp[curr][count][capa] = 0; else if (curr == a.size()) return dp[curr][count][capa] = 1000000000; if (count <= mini && curr + mini - count <= a.size() && (capa + p[curr] - p[curr + (mini - count)]) < sum) return dp[curr][count][capa] = 1000000000; int res = 1000000000; res = min(res, check(a, curr + 1, capa, count, mini, sum) + a[curr].second); if (count < mini) res = min(res, check(a, curr + 1, capa + a[curr].first, count + 1, mini, sum)); return dp[curr][count][capa] = res; } int main() { std::ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n; cin >> n; vector<pair<int, int>> a(n); for (int i = 0; i < n; i++) cin >> a[i].second; for (int i = 0; i < n; i++) cin >> a[i].first; sort(a.begin(), a.end(), greater<pair<int, int>>()); int sum = 0; for (int i = 0; i < n; i++) { sum += a[i].second; } int orig = sum; int cnt = 0; for (int i = 0; i < n; i++) { if (sum - a[i].first <= 0) { cnt = i + 1; break; } sum -= a[i].first; } dp.assign(n + 1, vector<vector<int>>(n + 1, vector<int>(10500, 1000000000))); int ans = 1000000000; dp[0][0][0] = 0; for (int i = 0; i < n; i++) { for (int j = 0; j <= cnt; j++) { for (int k = 0; k <= cnt * 101; k++) { if (dp[i][j][k] == 1000000000) continue; dp[i + 1][j][k] = min(dp[i + 1][j][k], dp[i][j][k] + a[i].second); dp[i + 1][j + 1][k + a[i].first] = min(dp[i + 1][j + 1][k + a[i].first], dp[i][j][k]); } } } for (int i = orig; i <= cnt * 101; i++) { ans = min(ans, dp[n][cnt][i]); } cout << cnt << " " << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e2 + 20; int dp[maxn][maxn * maxn]; int a[maxn], b[maxn]; void work() { int n; scanf("%d", &n); int all_A = 0; for (int i = 1; i <= n; ++i) { scanf("%d", &a[i]); all_A += a[i]; } int all_B = 0; for (int i = 1; i <= n; ++i) { scanf("%d", &b[i]); all_B += b[i]; } memset(dp, -0x3f, sizeof dp); dp[0][0] = 0; for (int i = 1; i <= n; ++i) { for (int j = n; j >= 1; --j) { for (int k = all_B; k >= b[i]; --k) { dp[j][k] = max(dp[j][k], dp[j - 1][k - b[i]] + a[i]); } } } int ansNeed = (0x3f3f3f3f); bool flag = true; for (int i = 1; i <= n && flag; ++i) { for (int j = 1; j <= all_B; ++j) { if (dp[i][j] < 0) continue; int lef = j - dp[i][j]; int need = all_A - dp[i][j]; if (lef >= need) { flag = false; ansNeed = min(ansNeed, need); flag = false; } } if (!flag) { cout << i << " " << ansNeed << endl; return; } } } int main() { work(); return 0; }
#include <bits/stdc++.h> using namespace std; int rem[101]; int vol[101]; int n; int limit = 10005; pair<int, int> mem[105][20010]; pair<int, int> go(int ind, int sum) { if (ind == n) { if (sum > limit) return {1e9, 1e9}; return {0, 0}; } pair<int, int> &ret = mem[ind][sum]; if (ret.first != -1) return ret; int empty = vol[ind] - rem[ind]; pair<int, int> ch1 = go(ind + 1, sum + rem[ind]); pair<int, int> ch2 = go(ind + 1, sum - empty); ch1.second += rem[ind]; ch2.first++; return ret = min(ch1, ch2); } int main() { scanf("%d", &n); for (int i = 0; i < 105; i++) for (int j = 0; j < 20010; j++) mem[i][j] = {-1, -1}; for (int i = 0; i < n; i++) scanf("%d", rem + i); for (int i = 0; i < n; i++) scanf("%d", vol + i); pair<int, int> res = go(0, limit); cout << res.first << " " << res.second << endl; 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 n; int a[105], b[105]; int sum; bool visited[105][105 * 105]; pair<int, int> dp[105][105 * 105]; pair<int, int> cal(int pos, int left) { if (left <= 0) return make_pair(0, left); if (pos > n) return make_pair(1e9, 0); assert(left); if (visited[pos][left]) return dp[pos][left]; visited[pos][left] = true; return dp[pos][left] = min( cal(pos + 1, left), make_pair(1 + cal(pos + 1, left - b[pos]).first, b[pos] - a[pos] + cal(pos + 1, left - b[pos]).second)); } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cin >> n; for (int i = 1; i <= n; i++) cin >> a[i], sum += a[i]; for (int i = 1; i <= n; i++) cin >> b[i]; cout << cal(1, sum).first << ' ' << cal(1, sum).second << '\n'; }
#include <bits/stdc++.h> using namespace std; inline int max(int x, int y) { return x > y ? x : y; } int n; struct node { int x, y; bool operator<(const node &rhs) const { return y > rhs.y; } } p[250]; int d[250][250 * 250]; int main() { int sum = 0, aans = 0; scanf("%d", &n); for (int i = 1; i <= n; i++) { cin >> p[i].x; sum += p[i].x; } for (int i = 1; i <= n; i++) { cin >> p[i].y; aans += p[i].y; } sort(p + 1, p + 1 + n); int cnt = 1; int ssum = sum; while (ssum - p[cnt].y > 0) ssum -= p[cnt++].y; memset(d, -1, sizeof d); for (int i = 1; i <= n; i++) { for (int j = i; j >= 2; j--) for (int k = aans; k >= 1; k--) { if (d[j - 1][k] != -1) d[j][k] = d[j - 1][k]; if (k >= p[i].y && d[j - 1][k - p[i].y] != -1) d[j][k] = max(d[j - 1][k - p[i].y] + p[i].x, d[j][k]); } d[1][p[i].y] = max(d[1][p[i].y], p[i].x); } int ans = 0; for (int i = aans; i >= sum; i--) { if (d[cnt][i] > ans) ans = d[cnt][i]; } cout << cnt << ' ' << sum - ans << endl; }
#include <bits/stdc++.h> using namespace std; double const EPS = 1e-9, PI = acos(-1); const int N = 1e2 + 9, M = 1e4 + 9, OO = 1e9 + 7, MOD = 1e9 + 7; const long long inf = 1e18; int a[N], b[N], mem[N][M], mem2[N][M], taken[N], total, n, sumBot = OO; int solve(int idx, int sum) { if (idx == n) { if (sum >= total) return 0; return OO; } int& ret = mem[idx][sum]; if (~ret) return ret; ret = OO; int c1 = solve(idx + 1, sum); int c2 = solve(idx + 1, sum + b[idx]) + 1; return ret = min(c1, c2); } int solve2(int idx, int sum) { if (idx == n) return 0; int& ret = mem2[idx][sum]; if (~ret) return ret; ret = OO; int res = solve(idx, sum); int c1 = solve(idx + 1, sum); int c2 = solve(idx + 1, sum + b[idx]) + 1; if (c1 == c2 && c1 == res) { ret = min(solve2(idx + 1, sum) + a[idx], solve2(idx + 1, sum + b[idx])); } else if (c1 == res) { ret = solve2(idx + 1, sum) + a[idx]; } else if (c2 == res) { ret = solve2(idx + 1, sum + b[idx]); } else assert(0); return ret; } int main() { cout << fixed << setprecision(12), ios::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr); cin >> n; for (int i = 0; i < n; ++i) cin >> a[i], total += a[i]; for (int i = 0; i < n; ++i) cin >> b[i]; memset(mem, -1, sizeof mem); memset(mem2, -1, sizeof mem2); cout << solve(0, 0) << ' ' << solve2(0, 0); return 0; }
#include <bits/stdc++.h> using namespace std; int n, sum = 0, f[30005], maxl, g[30005][105]; struct node { int a, b; } t[105]; bool cmp(node x, node y) { return x.a > y.b; } int main() { memset(f, 0x3f, sizeof(f)); cin >> n; f[0] = 0; for (int i = 1; i <= n; i++) cin >> t[i].a, sum += t[i].a; for (int i = 1; i <= n; i++) cin >> t[i].b; for (int i = 1; i <= n; i++) { for (int j = sum; j >= 0; j--) { if (j >= t[i].b) f[j] = min(f[j], f[j - t[i].b] + 1); else f[j] = min(f[j], 1); } } cout << f[sum] << " "; memset(g, -0x3f, sizeof(g)); g[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = sum + 10005; j >= t[i].b; j--) { for (int k = f[sum]; k >= 1; k--) { g[j][k] = max(g[j][k], g[j - t[i].b][k - 1] + t[i].a); if (j >= sum && k == f[sum]) maxl = max(maxl, g[j][k]); } } } cout << sum - maxl << endl; }
#include <bits/stdc++.h> using namespace std; template <typename T> T getint() { T x = 0, p = 1; char ch; do { ch = getchar(); } while (ch <= ' '); if (ch == '-') p = -1, ch = getchar(); while (ch >= '0' && ch <= '9') x = x * 10 + ch - '0', ch = getchar(); return x * p; } template <typename T1, typename T2> bool umin(T1 &x, const T2 &y) { if (x > y) return x = y, true; return false; } template <typename T1, typename T2> bool umax(T1 &x, const T2 &y) { if (x < y) return x = y, true; return false; } const int maxn = 1e6 + 10; const int inf = (int)1e9 + 5; const int mod = (int)1e9 + 7; const long long llinf = (long long)1e18 + 5; const long double pi = acos(-1.0); int dp[2][101][101 * 101]; int main() { int n; cin >> n; vector<int> a(n), b(n); int sum = 0; for (int i = (0); i < (n); i++) cin >> a[i], sum += a[i]; vector<int> c(n); for (int i = (0); i < (n); i++) cin >> b[i], c[i] = b[i]; sort((c).begin(), (c).end()); reverse((c).begin(), (c).end()); int x = sum; int k = 0; for (int i = (0); i < (c.size()); i++) { x -= c[i]; k++; if (x <= 0) break; } for (int i = (0); i < (2); i++) for (int j = (0); j < (101); j++) for (int k = (0); k < (101 * 101); k++) dp[i][j][k] = -inf; dp[0][0][0] = 0; for (int i = (0); i < (n); i++) { for (int j = (0); j < (n + 1); j++) { for (int sum = (0); sum < (101 * 101); sum++) { if (sum >= b[i] && j > 0) umax(dp[1][j][sum], dp[0][j - 1][sum - b[i]] + a[i]); umax(dp[1][j][sum], dp[0][j][sum]); } } for (int j = (0); j < (n + 1); j++) for (int sum = (0); sum < (101 * 101); sum++) { dp[0][j][sum] = dp[1][j][sum]; dp[1][j][sum] = -inf; } } int res = -inf; for (int j = (sum); j < (101 * 101); j++) { umax(res, dp[0][k][j]); } cout << k << ' ' << sum - res << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct node { int ase, cap; node() {} node(int _koyta, int _pr) { ase = _koyta; cap = _pr; } bool operator<(const node& P) const { if (cap == P.cap) return ase < P.ase; return cap < P.cap; } }; struct edge { int koyta, pr; edge() {} edge(int _koyta, int _pr) { koyta = _koyta; pr = _pr; } bool operator<(const edge& P) const { if (koyta == P.koyta) return pr < P.pr; return koyta < P.koyta; } }; vector<node> vc; int n; edge dp[120][32000]; int vis[120][32000]; edge dp_func(int pos, int container) { if (pos == n) { if (container <= 20000) return {0, 0}; return {200, 42000}; } int l; if (vis[pos][container]) return dp[pos][container]; vis[pos][container] = 1; edge ret = {200, 42000}, temp; temp = dp_func(pos + 1, container - vc[pos].cap); temp.koyta += 1; ret = min(ret, temp); temp = dp_func(pos + 1, container + vc[pos].ase); temp.pr += vc[pos].ase; ret = min(ret, temp); if (container > 20000) { l = container - 20000; l = min(l, vc[pos].cap); temp = dp_func(pos + 1, container - l); temp.koyta += 1; ret = min(ret, temp); } if (container < 20000) { l = 20000 - container; if (l < vc[pos].ase) { temp = dp_func(pos + 1, 20000 + vc[pos].ase - l); temp.pr += vc[pos].ase; ret = min(ret, temp); } else { temp = dp_func(pos + 1, container + vc[pos].ase); temp.pr += vc[pos].ase; ret = min(ret, temp); } } return dp[pos][container] = ret; } int main() { int i, j, k, l, m; scanf("%d", &n); for (i = 1; i <= n; i++) { scanf("%d", &l); node gr; gr.ase = l; vc.push_back(gr); } for (i = 1; i <= n; i++) { scanf("%d", &l); vc[i - 1].cap = l - vc[i - 1].ase; } edge gr = dp_func(0, 20000); printf("%d %d\n", gr.koyta, gr.pr); }
#include <bits/stdc++.h> using namespace std; int n, dp[105][10005] = {0}; struct node { int a, b; } c[105]; bool cmp(const node &x, const node &y) { return x.b < y.b; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d", &c[i].a); for (int i = 1; i <= n; i++) scanf("%d", &c[i].b); sort(c + 1, c + n + 1, cmp); int sum = 0; for (int i = n; i; i--) sum += c[i].a; int ans1 = 0, cur = sum; for (int i = n; i && cur > 0; i--) { ans1++; cur -= c[i].b; } int m = 0; for (int i = 1; i <= n; i++) m += c[i].b; for (int j = 0; j <= ans1; j++) for (int i = 0; i <= m; i++) dp[j][i] = -1; dp[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = m; j >= c[i].b; j--) { for (int k = ans1; k; k--) if (dp[k - 1][j - c[i].b] >= 0) dp[k][j] = max(dp[k][j], dp[k - 1][j - c[i].b] + c[i].a); } } int ans2 = 0; for (int i = sum; i <= m; i++) ans2 = max(ans2, dp[ans1][i]); printf("%d %d\n", ans1, sum - ans2); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 100; int memo[MAXN + 1][100 * MAXN + 1]; bool vis[MAXN + 1][100 * MAXN + 1]; int main() { int n; cin >> n; int total = 0; int arr[n]; int kek[n]; for (int i = 0; i != n; ++i) { cin >> arr[i]; total += arr[i]; } for (int i = 0; i != n; ++i) cin >> kek[i]; vis[0][0] = 1; for (int i = 0; i != n; ++i) { for (int j = n; j != 0; --j) { for (int k = 100 * n; k >= kek[i]; --k) { if (vis[j - 1][k - kek[i]]) { vis[j][k] = 1; memo[j][k] = max(memo[j][k], memo[j - 1][k - kek[i]] + arr[i]); } } } } int ans1, ans2 = 1000000000; for (int i = 1; i <= n; ++i) { bool done = 0; for (int j = total; j <= 100 * n; ++j) { if (vis[i][j]) { done = 1; ans1 = i; ans2 = min(ans2, total - memo[i][j]); } } if (done) break; } cout << ans1 << ' ' << ans2 << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 105; int n, sum = 0; int rem[MAXN], cap[MAXN]; map<int, int> dp[MAXN][MAXN]; int getnbot() { int tmp[MAXN], tot = sum; for (int i = 1; i <= n; i++) tmp[i] = cap[i]; sort(tmp + 1, tmp + n + 1); for (int i = n; i >= 1; i--) { if (tot <= tmp[i]) return n - i + 1; tot -= tmp[i]; } } int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> rem[i]; sum += rem[i]; } for (int i = 1; i <= n; i++) cin >> cap[i]; int nbot = getnbot(); map<int, int>::iterator it; dp[0][0].insert(make_pair(0, 0)); for (int i = 0; i < n; i++) { for (int j = 0; j <= nbot; j++) { for (it = dp[i][j].begin(); it != dp[i][j].end(); it++) { if (j < nbot) { int nk = it->first + cap[i + 1] - rem[i + 1]; if (dp[i + 1][j + 1].find(nk) == dp[i + 1][j + 1].end()) dp[i + 1][j + 1].insert(make_pair(nk, it->second)); else dp[i + 1][j + 1][nk] = min(dp[i + 1][j + 1][nk], it->second); } int nk = it->first - rem[i + 1]; int nw = it->second + rem[i + 1]; if (dp[i + 1][j].find(nk) == dp[i + 1][j].end()) dp[i + 1][j].insert(make_pair(nk, nw)); else dp[i + 1][j][nk] = min(dp[i + 1][j][nk], nw); } } } cout << nbot << ' '; int ans = 0x3f3f3f3f; for (it = dp[n][nbot].begin(); it != dp[n][nbot].end(); it++) { if (it->first >= 0) ans = min(ans, it->second); } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int gcd(int x, int y) { if (y == 0) return x; return gcd(y, x % y); } int lcm(int x, int y) { return x / gcd(x, y) * y; } int lowbit(int x) { return x & (-x); } long long quickmod(long long x, long long y, long long mod) { x = x % mod; long long ans = 1; while (y) { if (y & 1) ans = ans * x % mod; y >>= 1; x = x * x % mod; } return ans; } const int INF = 0x3f3f3f3f; const double EPS = 1e-7; const double PI = acos(-1.0); const long long MOD = 1e9 + 7; int n; int num1[105], num2[105]; int dp[2][105][20005]; int main() { while (scanf("%d", &n) != EOF) { memset(dp, -1, sizeof(dp)); int sum = 0; for (int i = 1; i <= n; i++) { scanf("%d", &num1[i]); sum += num1[i]; } for (int i = 1; i <= n; i++) scanf("%d", &num2[i]); dp[0][0][0] = 0; int flag = 0; for (int i = 1; i <= n; i++) { flag ^= 1; for (int j = 0; j <= i; j++) { for (int k = 0; k <= 20000; k++) { dp[flag][j][k] = dp[flag ^ 1][j][k]; if (j >= 1 && k >= num2[i] && dp[flag ^ 1][j - 1][k - num2[i]] != -1) dp[flag][j][k] = max(dp[flag][j][k], dp[flag ^ 1][j - 1][k - num2[i]] + num1[i]); } } } int ans1 = -1, ans2 = 0; for (int j = 1; j <= n; j++) { ans2 = 0; for (int k = 20000; k >= sum; k--) { if (dp[flag][j][k] != -1) { ans1 = j; ans2 = max(ans2, dp[flag][j][k]); } } if (ans1 != -1) break; } printf("%d %d\n", ans1, sum - ans2); } return 0; }
#include <bits/stdc++.h> using namespace std; int a[110]; int s[110]; int b[110]; int dp[110][110 * 110]; int main() { int n; scanf(" %d", &n); int total = 0; for (int i = 0; i < n; i++) { scanf(" %d", &a[i]); total += a[i]; } for (int i = 0; i < n; i++) { scanf(" %d", &b[i]); s[i] = b[i]; } sort(s, s + n, greater<int>()); int ng = 0, sm = 0; while (sm < total) { sm += s[ng]; ng++; } for (int i = 0; i < n; i++) { for (int j = ng - 1; j > 0; j--) { for (int k = 110 * 110 - b[i] - 1; k >= 0; k--) { if (dp[j][k] > 0) { dp[j + 1][k + b[i]] = max(dp[j + 1][k + b[i]], dp[j][k] + a[i]); } } } dp[1][b[i]] = max(dp[1][b[i]], a[i]); } int res = -1; for (int i = total; i < 110 * 110; i++) { res = max(res, dp[ng][i]); } printf("%d %d\n", ng, total - res); return 0; }
#include <bits/stdc++.h> using namespace std; int n, z, p, i, j, k, ans, t, a[105], b[105], d[105], f[105][10005]; bool cmp(int x, int y) { return x > y; } int main() { scanf("%d", &n); for (i = 1; i <= n; i++) scanf("%d", &a[i]), z += a[i]; for (i = 1; i <= n; i++) scanf("%d", &b[i]), d[i] = b[i]; sort(d + 1, d + n + 1, cmp); memset(f, 0x80, sizeof(f)); f[0][0] = 0; for (i = 1; i <= n; i++) { p += d[i]; if (p >= z) { ans = i; break; } } for (i = 1; i <= n; i++) for (j = p; j >= b[i]; j--) for (k = 1; k <= ans; k++) f[k][j] = max(f[k][j], f[k - 1][j - b[i]] + a[i]); for (i = z; i <= p; i++) t = max(t, f[ans][i]); printf("%d %d", ans, z - t); return 0; }
#include <bits/stdc++.h> using namespace std; bool cmp(pair<long long, long long> p1, pair<long long, long long> p2) { return (p1.second > p2.second); } long long solve(vector<vector<long long> >& dp, vector<pair<long long, long long> >& v, long long idx, long long cap, long long k, long long n) { if (k == 0 && cap == 0) return 0; if (k == 0 || cap == 0) return -1e11; if (dp[k][cap] != -1e7) return dp[k][cap]; if (v[idx].second <= cap) { dp[k][cap] = max(solve(dp, v, idx + 1, cap - v[idx].second, k - 1, n) + v[idx].first, dp[k][cap]); return dp[k][cap]; } else { return solve(dp, v, idx + 1, cap, k, n); } return 0; } void print(vector<vector<long long> >& tp, vector<pair<long long, long long> >& v, long long taken, long long cap, long long n, long long ans) { vector<long long> mark(n); while (cap > 0) { for (long long i = 0; i < n; i++) { if (mark[i] == 0 && cap >= v[i].second && tp[taken - 1][cap - v[i].second] == (ans - v[i].first)) { cout << i << " "; mark[i] = 1; cap -= v[i].second; taken--; ans -= v[i].first; } } } cout << endl; return; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); long long n; cin >> n; vector<pair<long long, long long> > v(n); long long tw = 0, ts = 0; for (long long i = 0; i < n; i++) { cin >> v[i].first; tw += v[i].first; } for (long long i = 0; i < n; i++) { cin >> v[i].second; ts += v[i].second; } sort(v.begin(), v.end(), cmp); long long tmp = 0, k = 0; for (long long i = 0; i < n; i++) { tmp += v[i].second; if (tmp >= tw) { k = i + 1; break; } } vector<vector<long long> > tp(k + 1, vector<long long>(10005, -1)); tp[0][0] = 0; for (long long i = 0; i < n; i++) { vector<vector<long long> > dp = tp; for (long long taken = 1; taken <= k; taken++) { for (long long cap = v[i].second; cap <= 10000; cap++) { if (tp[taken - 1][cap - v[i].second] >= 0) { dp[taken][cap] = max(tp[taken - 1][cap - v[i].second] + v[i].first, tp[taken][cap]); } } } tp = dp; } long long ans = 0, idx = 0; for (long long i = tw; i <= 10000; i++) { ans = max(ans, tp[k][i]); } cout << k << " " << (tw - ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100 + 100; struct node { int w, v; bool operator<(const node &b) const { if (v != b.v) return v > b.v; else return w > b.w; } } a[maxn]; int dp[maxn][10005]; int main() { int n; scanf("%d", &n); long long sum = 0; for (int i = 1; i <= n; ++i) { scanf("%d", &a[i].w); sum += a[i].w; } for (int i = 1; i <= n; ++i) scanf("%d", &a[i].v); int cnt = 0; int total = 0; sort(a + 1, a + n + 1); for (int i = 1; i <= n; ++i) { total += a[i].v; if (total >= sum) { cnt = i; break; } } memset(dp, -1, sizeof(dp)); dp[0][0] = 0; for (int i = 1; i <= n; ++i) { for (int j = sum; j - a[i].w >= 0; j--) { for (int k = i; k >= 1; --k) { if (dp[k - 1][j - a[i].w] != -1) dp[k][j] = max(dp[k][j], dp[k - 1][j - a[i].w] + a[i].v); } } } int ans = 0; for (int i = sum; i > 0; --i) { if (dp[cnt][i] >= sum) { ans = sum - i; break; } } printf("%d %d\n", cnt, ans); return 0; }
#include <bits/stdc++.h> using namespace std; int dp[110][10010], n, s1, s2, ans, num, x; struct node { int l, r; } f[10010]; int cmp(node a, node b) { if (a.r != b.r) return a.r > b.r; else return a.l > b.l; } int main() { cin >> n; for (int i = 1; i <= n; i++) { scanf("%d", &f[i].l); s1 += f[i].l; } for (int i = 1; i <= n; i++) { scanf("%d", &f[i].r); s2 += f[i].r; } x = s1; sort(f + 1, f + 1 + n, cmp); while ("Chtholly") { x -= f[++num].r; if (x <= 0) break; } memset(dp, -0x7f, sizeof dp); dp[0][0] = 0; for (int i = 1; i <= n; i++) for (int j = s2; j >= f[i].r; j--) for (int k = 1; k <= num; k++) dp[k][j] = max(dp[k][j], dp[k - 1][j - f[i].r] + f[i].l); for (int i = s1; i <= s2; i++) ans = max(ans, dp[num][i]); cout << num << " " << s1 - ans; }
#include <bits/stdc++.h> using namespace std; struct BO { int a, b; } a[300]; int n, tot, mt, tt; int f[110][11000]; int cmp(const BO &x, const BO &y) { return x.b < y.b; } int main() { cin >> n; for (int i = 1; i <= n; i++) { cin >> a[i].a; tot += a[i].a; } for (int i = 1; i <= n; i++) { cin >> a[i].b; mt += a[i].b; } sort(a + 1, a + n + 1, cmp); int K = 0; tt = tot; for (int i = n; i >= 1 && tot > 0; i--) { K++; tot -= a[i].b; } int ans = 0; memset(f, -127 / 3, sizeof(f)); f[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = K; j >= 1; j--) for (int k = mt; k >= a[i].b; k--) f[j][k] = max(f[j][k], f[j - 1][k - a[i].b] + a[i].a); } for (int k = tt; k <= mt; k++) ans = max(ans, f[K][k]); cout << K << ' ' << tt - ans << endl; }
#include <bits/stdc++.h> using namespace std; struct node { int a, b; } bo[111]; bool cmp(node& x, node& y) { if (x.b == y.b) return x.a < y.a; return x.b > y.b; } int n, sum, num, s, dp[111][11111]; int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%d", &bo[i].a); sum += bo[i].a; } for (int i = 1; i <= n; i++) { scanf("%d", &bo[i].b); } sort(bo + 1, bo + n + 1, cmp); for (int i = 1; i <= n; i++) { s += bo[i].b; if (s >= sum) { num = i; break; } } memset(dp, -1, sizeof(dp)); dp[0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = sum; j >= bo[i].a; j--) { for (int k = i - 1; k >= 0; k--) { if (dp[k][j - bo[i].a] != -1) dp[k + 1][j] = max(dp[k + 1][j], dp[k][j - bo[i].a] + bo[i].b); } } } int ans = sum; for (int i = sum; i >= 0; i--) { if (dp[num][i] >= sum) { ans -= i; break; } } printf("%d %d\n", num, ans); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast,unroll-loops") using namespace std; const int N = 102; const int oo = 1e9; const int Mod = 1e9 + 7; int dp[2][N][N * N]; int a[N], b[N]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); for (int i = (int)(0); i < (int)(2); ++i) for (int j = (int)(0); j < (int)(102); ++j) for (int k = (int)(0); k < (int)(10002); ++k) dp[i][j][k] = -oo; dp[0][0][0] = 0; int n; cin >> n; vector<int> caps; int vtot = 0, ctot = 0; for (int i = (int)(1); i < (int)(n + 1); ++i) cin >> a[i], vtot += a[i]; for (int i = (int)(1); i < (int)(n + 1); ++i) cin >> b[i], caps.push_back(b[i]), ctot += b[i]; sort(caps.begin(), caps.end(), greater<int>()); int k = 0, acc = 0; while (acc < vtot) acc += caps[k++]; for (int i = 1; i <= n; ++i) { int idx = i % 2; for (int j = 0; j <= k; ++j) { for (int c = 0; c <= ctot; ++c) { if (j >= 1 and c - b[i] >= 0) dp[idx][j][c] = max(dp[idx][j][c], dp[idx ^ 1][j - 1][c - b[i]] + a[i]); dp[idx][j][c] = max(dp[idx][j][c], dp[idx ^ 1][j][c]); } } } int idx = n % 2; int high = 0; for (int c = vtot; c <= ctot; ++c) { int soda = dp[idx][k][c]; high = max(soda, high); } cout << k << " " << vtot - high << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int k, n, m, sum, cur; pair<int, int> a[110]; int f[110][10010], mn[110][10010]; bool Cmp(pair<int, int> a, pair<int, int> b) { return a.second > b.second || (a.second == b.second && a.first > b.first); } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d", &a[i].first), sum += a[i].first; for (int i = 1; i <= n; i++) scanf("%d", &a[i].second); for (int i = 1; i <= n; i++) { for (int j = 0; j < i; j++) for (int k = 0; k < sum; k++) if (!k || mn[j][k]) { int t = mn[j][k] + 1; if (!mn[i][k + a[i].second] || t < mn[i][k + a[i].second] || (t == mn[i][k + a[i].second] && f[j][k] + a[i].first > f[i][k + a[i].second])) mn[i][k + a[i].second] = t, f[i][k + a[i].second] = f[j][k] + a[i].first; } } int Mn = n + 1, Mx = 0; for (int i = 1; i <= n; i++) for (int j = sum; j <= 10000; j++) if (mn[i][j] && mn[i][j] < Mn || (mn[i][j] == Mn && f[i][j] > Mx)) Mn = mn[i][j], Mx = f[i][j]; printf("%d %d\n", Mn, sum - Mx); }
#include <bits/stdc++.h> using namespace std; const long long INF = 0x7f7f7f7f; long long n, m, a[105], b[105]; long long ans1 = INF, ans2 = INF; long long f[10005], g[10005]; signed main() { memset(f, INF, sizeof(f)); cin >> n; for (long long i = 1; i <= n; cin >> a[i++]) ; for (long long i = 1; i <= n; cin >> b[i++]) ; for (long long i = 1; i <= n; i++) m += b[i]; f[0] = 0; for (long long i = 1; i <= n; i++) for (long long j = m; 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 - b[i]] + a[i] > g[j]) g[j] = g[j - b[i]] + a[i]; long long sum = 0; for (long long i = 1; i <= n; i++) sum += a[i]; for (long long i = sum; i <= m; i++) if (f[i] < ans1) ans1 = f[i], ans2 = g[i]; else if (f[i] == ans1 && g[i] > ans2) ans2 = g[i]; cout << ans1 << ' ' << sum - ans2 << endl; }
#include <bits/stdc++.h> using namespace std; int a[101], b[101], dp[101][101 * 101], inf = 1E9; int main() { int n, m, i, j, k; pair<int, int> ans = make_pair(inf, inf); scanf("%d", &n); for (i = 1; i <= n; i++) scanf("%d", &a[i]); for (i = 1; i <= n; i++) scanf("%d", &b[i]); for (i = 0; i < 101; i++) for (j = 0; j < 101 * 101; j++) dp[i][j] = -inf; dp[0][0] = 0; for (k = 1, m = 0; k <= n; k++) { b[k] -= a[k]; m += a[k]; for (i = k; i > 0; i--) for (j = m; j >= a[k]; j--) dp[i][j] = max(dp[i][j], dp[i - 1][j - a[k]] + b[k]); } for (i = 1; i <= n; i++) for (j = 1; j <= m; j++) if (j + dp[i][j] >= m) ans = min(ans, make_pair(i, m - j)); printf("%d %d\n", ans.first, ans.second); return 0; }
#include <bits/stdc++.h> using namespace std; int n; int a[105], b[105], sum; int f[105][105 * 105], g[105][105 * 105]; int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) scanf("%d", &a[i]); for (int i = 1; i <= n; i++) scanf("%d", &b[i]); memset(f, 0x3f, sizeof(f)); f[0][0] = 0; for (int i = 1; i <= n; i++) { sum += a[i]; for (int j = 0; j < 105 * 105; j++) { f[i][j] = f[i - 1][j]; g[i][j] = g[i - 1][j]; if (j - b[i] >= 0) { if (f[i][j] > f[i - 1][j - b[i]] + 1) { f[i][j] = f[i - 1][j - b[i]] + 1; g[i][j] = g[i - 1][j - b[i]] + a[i]; } else if (f[i][j] == f[i - 1][j - b[i]] + 1) { g[i][j] = max(g[i][j], g[i - 1][j - b[i]] + a[i]); } } } } int x = 1e9, y = 0; for (int i = sum; i < 105 * 105; i++) { if (f[n][i] < x) { x = f[n][i], y = g[n][i]; } else if (f[n][i] == x) { y = max(y, g[n][i]); } } printf("%d %d", x, sum - y); }
#include <bits/stdc++.h> const int maxn = 110; using namespace std; struct bott { int wt; int bt; } pp[maxn]; int cc[maxn]; bool cmp(bott a, bott b) { return a.bt > b.bt; } int dp[maxn][10005]; int ans, n, wts, bts, mini, totb; int main() { scanf("%d", &n); wts = 0, bts = 0; for (int i = 1; i <= n; ++i) { scanf("%d", &pp[i].wt); wts += pp[i].wt; } for (int i = 1; i <= n; ++i) { scanf("%d", &pp[i].bt); bts += pp[i].bt; cc[i] = pp[i].bt; } sort(cc + 1, cc + 1 + n); int temp = 0; for (int i = 1; i <= n && temp < wts; ++i) { temp += cc[n - i + 1]; mini++; } memset(dp, -1, sizeof(dp)); dp[0][0] = 0, ans = wts; for (int i = 1; i <= n; ++i) for (int j = bts; j >= pp[i].bt; --j) for (int l = mini; l; l--) if (dp[l - 1][j - pp[i].bt] >= 0) dp[l][j] = max(dp[l][j], dp[l - 1][j - pp[i].bt] + pp[i].wt); for (int j = bts; j >= wts; --j) ans = min(ans, wts - dp[mini][j]); printf("%d %d\n", mini, ans); return 0; }
#include <bits/stdc++.h> using namespace std; int N, K; struct Bott { int a, b; } p[105]; bool cmp(Bott x, Bott y) { if (x.b == y.b) return x.a < y.a; return x.b < y.b; } int s[105]; int f[2][105][20000 + 10]; int Ans = 0x3f3f3f3f; int main() { scanf("%d", &N); for (int i = 1; i <= N; i++) scanf("%d", &p[i].a); for (int i = 1; i <= N; i++) scanf("%d", &p[i].b); sort(p + 1, p + 1 + N, cmp); for (int i = 1; i <= N; i++) { s[i] = s[i - 1] + p[i].a; p[i].b -= p[i].a; } for (int i = N, sum = 0; i >= 1; i--) { sum += p[i].b; if (sum >= s[i - 1]) { K = N - i + 1; break; } } memset(f, 0x3f, sizeof(f)); f[0][0][10000] = 0; int S1 = 10000, S2 = 10000; for (int i = 1; i <= N; i++) { for (int j = 0; j <= i; j++) for (int k = S1; k <= S2; k++) { f[i & 1][j + 1][k + p[i].b] = min(f[i & 1][j + 1][k + p[i].b], f[(i - 1) & 1][j][k]); f[i & 1][j][k - p[i].a] = min(f[i & 1][j][k - p[i].a], f[(i - 1) & 1][j][k] + p[i].a); f[(i - 1) & 1][j][k] = 0x3f3f3f3f; } S1 -= p[i].a; S2 += p[i].b; } for (int i = 10000; i <= S2; i++) Ans = min(Ans, f[N & 1][K][i]); printf("%d %d", K, Ans); return 0; }
#include <bits/stdc++.h> using namespace std; int dp[2][105][105 * 105]; int n; int a[105], b[105]; void solve() { int v = 0, soda = 0; for (int i = 1; i <= n; i++) { scanf("%d", &a[i]); soda += a[i]; } for (int i = 1; i <= n; i++) { scanf("%d", &b[i]); v += b[i]; } for (int i = 0; i <= n; i++) { for (int j = 0; j <= v; j++) dp[0][i][j] = dp[1][i][j] = -1e9; } int ans1 = 1e9, ans2 = 1e9; dp[0][0][0] = 0; for (int i = 1; i <= n; i++) { for (int j = 0; j <= n; j++) { for (int k = 0; k <= v; k++) dp[i & 1][j][k] = -1e9; } dp[i & 1][0][0] = 0; for (int j = 1; j <= n; j++) { for (int k = 0; k <= v; k++) { if (k >= b[i]) dp[i & 1][j][k] = max(dp[i & 1][j][k], dp[(i + 1) & 1][j - 1][k - b[i]] + a[i]); dp[i & 1][j][k] = max(dp[i & 1][j][k], dp[(i + 1) & 1][j][k]); } } for (int j = 1; j <= n; j++) { for (int k = 0; k <= v; k++) { if (dp[i & 1][j][k] < 0) continue; if (k < soda) continue; if (j < ans1 || (j == ans1 && dp[i & 1][j][k] > ans2)) { ans1 = j; ans2 = dp[i & 1][j][k]; } } } } printf("%d %d\n", ans1, soda - ans2); } int main() { while (scanf("%d", &n) != EOF) solve(); return 0; }
#include <bits/stdc++.h> using namespace std; bool comp(const pair<int, int>& a, const pair<int, int>& b) { if (a.second != b.second) { return a.second > b.second; } return false; } const int inf = 1e9; int main() { int n; cin >> n; vector<pair<int, int> > v(n); int x = 0; for (int i = 0; i < n; ++i) { cin >> v[i].first; x += v[i].first; } for (int i = 0; i < n; ++i) { cin >> v[i].second; } sort((v).begin(), (v).end(), comp); int k = 0; while (x > 0) { x -= v[k].second; ++k; } x = 0; for (int i = 0; i < n; ++i) { x += v[i].first; } cout << k << " "; vector<vector<int> > dp(x + 1, vector<int>(k + 1, -inf)); dp[0][0] = 0; for (int i = 0; i < n; ++i) { vector<vector<int> > dp_new = dp; for (int sum = 0; sum <= x; ++sum) { for (int taken = 0; taken <= k; ++taken) { int new_sum = min(x, sum + v[i].second); if (taken + 1 <= k) { dp_new[new_sum][taken + 1] = max(dp_new[new_sum][taken + 1], dp[sum][taken] + v[i].first); } } } dp.swap(dp_new); } cout << x - dp[x][k] << "\n"; }