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#include <iostream> int main() { int h, w; for (;;) { std::cin >> h >> w; if (h == 0 && w == 0) break; for (int i=0; i!=h; ++i) { for (int j=0; j!=w; ++j) { if ((i+j)%2 == 0) std::cout << '#'; else std::cout << '.'; } std::cout << '\n'; } std::cout << '\n'; } }
#include <iostream> using namespace std; int main() { int H,W,i,j; while (cin>>H>>W && (H!=0 || W!=0)) { for (i=0;i<H;i++) { for (j=0;j<W;j++) { cout << ((i+j)%2==0?'#':'.'); } cout<<endl; } cout<<endl; } return 0; }
#include<bits/stdc++.h> using namespace std; int main(){ long long w,h,i,j; while(1){ cin>>w>>h; if(w==0 && h==0) break; for(i=1;i<=w;i++){ for(j=1;j<=h;j++){ if((i+j)%2==0) cout<<"#"; else cout<<"."; } cout<<"\n"; } cout<<"\n"; } }
#include<iostream> using namespace std; int main(){ while(true){ int h,w; cin>>h>>w; if(h==0&&w==0) return 0; for(int i=0;i<h;i++){ for(int j=0;j<w;j++){ if((i%2==0&&j%2==0)||(i%2==1&&j%2==1)) cout<<'#'; else cout<<'.'; } cout<<'\n'; } cout<<'\n'; } }
#include <iostream> using namespace std; int main() { int H, W; cin >> H >> W; while (H != 0 && W != 0) { for (int i = 1; i <= H; i++) { for (int j = 1; j <= W; j++) { if ((i+j)%2 == 0) cout << "#"; else cout << "."; } cout << endl; } cout << endl; cin >> H >> W; } return 0; }
#include<iostream> using namespace std; int main(){ int a,b; while(true){ cin>>a>>b; if(a==0 && b==0)break; for(int i=0;i<a;i++){ for(int j=0;j<b;j++){ if(0==(j+i)%2){ cout<<"#"; } else{ cout<<"."; } } cout<<endl; } cout<<endl; } }
#include<iostream> using namespace std; int main(){ int a,b; cin>>a>>b; while(a!=0 and b!=0){ for(int i=0;i<a;i++){ for(int j=0;j<b;j++){ if((i+j)%2==0)cout<<'#'; else cout<<'.'; } cout<<endl; } cout<<endl; cin>>a>>b; } return 0; }
#include <iostream> using namespace std; int main(){ int H,W; while(1){ cin >> H >> W; if(H == 0 && W == 0)break; for(int i = 1;i <= H;i++){ for(int j = 1;j <= W;j++){ if((i+j)%2 == 0)cout << "#"; else{cout << ".";} } cout << endl; } cout << endl; } return 0; }
#include<iostream> using namespace std; int main(){ int H,W; cin>>H>>W; while(H!=0&&W!=0){ for(int i=0;i<H;i++){ for(int j=0;j<W;j++){ if((i+j)%2==0){ cout<<'#'; }else{ cout<<'.'; } } cout<<endl; } cout<<endl; cin>>H>>W; } return 0; }
#include <iostream> using namespace std; int main(){ int h, w; while (cin >> h >> w && h) { for (int i=0; i<h; i++) { for (int j=0; j<w; j++) cout << ((i+j)%2 ? '.' : '#'); cout << endl; } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int main(){ while(1){ int H,W; cin >> H >> W; if(H==0 && W==0) break; for(int i=0; i<H; i++){ for(int j=0; j<W; j++){ if((i+j)%2 == 0) cout << "#"; else cout << "."; } cout << endl; } cout << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 201; const int T = 201; int n, t; long long z; long long a[N], b[N], c[N]; long long pa[N], pb[N]; bool cl1[N][T], cl2[N][T]; long long mr1[N][T], mr2[N][T]; long long dp1[N][T], dp2[N][T]; int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n >> t >> z; for (int i = 1; i <= n; i++) { cin >> a[i] >> b[i] >> c[i]; pa[i] = pa[i - 1] + a[i]; pb[i] = pb[i - 1] + b[i]; } for (int i = 0; i <= t; i++) cl1[0][i] = cl2[0][i] = true; for (int i = 1; i <= n; i++) { cl2[i][0] = true; mr2[i][0] = 0; for (int j = 1; j <= t; j++) { mr2[i][j] = -1; for (int k = 0; k < j; k++) { if (mr2[i][k] == -1) continue; if (!cl2[i - 1][j - k]) continue; long long mn = mr2[i][k] % z, mx = mr2[i][k]; long long rm = mn + pb[i] * (j - k) - (pb[i - 1] * (j - k) + z - 1) / z * z; mn += (j - k) * b[i]; mx += (j - k) * b[i]; if (rm < 0) mn += z, rm += z; if (mn > mx) continue; if (mn > c[i]) continue; if (mx > c[i]) { long long f = mx - c[i]; f = (f + z - 1) / z; mx -= f * z; } mx = mx - mn + rm; mn = rm; mr2[i][j] = max(mr2[i][j], mx); } } for (int j = 1; j <= t; j++) { if (cl2[i - 1][j]) { if (b[i] * j <= c[i]) cl2[i][j] = true; } for (int k = 0; k < j; k++) { if (mr2[i][k] == -1) continue; if (!cl2[i - 1][j - k]) continue; if (mr2[i][k] % z + (j - k) * b[i] <= c[i]) cl2[i][j] = true; } } for (int j = 0; j <= t; j++) { mr1[i][j] = -1; if (cl1[i - 1][j]) { if (a[i] + b[i] * j <= c[i]) { long long rm = pa[i] + pb[i] * j - (pa[i - 1] + pb[i - 1] * j + z - 1) / z * z; if (rm >= 0) mr1[i][j] = rm; } } for (int k = 0; k < j; k++) { if (mr1[i][k] == -1) continue; if (!cl2[i - 1][j - k]) continue; long long mn = mr1[i][k] % z, mx = mr1[i][k]; long long rm = mn + pb[i] * (j - k) - (pb[i - 1] * (j - k) + z - 1) / z * z; mn += (j - k) * b[i]; mx += (j - k) * b[i]; if (rm < 0) mn += z, rm += z; if (mn > mx) continue; if (mn > c[i]) continue; if (mx > c[i]) { long long f = mx - c[i]; f = (f + z - 1) / z; mx -= f * z; } mx = mx - mn + rm; mn = rm; mr1[i][j] = max(mr1[i][j], mx); } } for (int j = 0; j <= t; j++) { if (cl1[i - 1][j]) { if (a[i] + b[i] * j <= c[i]) cl1[i][j] = true; } for (int k = 0; k < j; k++) { if (mr1[i][k] == -1) continue; if (!cl2[i - 1][j - k]) continue; if (mr1[i][k] % z + (j - k) * b[i] <= c[i]) cl1[i][j] = true; } } } for (int i = 1; i <= n; i++) { for (int j = 1; j <= t; j++) { dp2[i][j] = 1e18; if (j * b[i] <= c[i]) { dp2[i][j] = dp2[i - 1][j]; continue; } for (int k = 1; k <= j; k++) { if (cl2[i][k]) { long long cost = (pb[i] * k + z - 1) / z; dp2[i][j] = min(dp2[i][j], dp2[i][j - k] + cost); } } for (int k = 1; k <= j; k++) { if (mr2[i][k] != -1) { if (mr2[i][k] % z + (j - k) * b[i] > c[i]) continue; long long cost = (pb[i] * k - mr2[i][k]) / z; long long f = mr2[i][k] + (j - k) * b[i] - c[i]; if (f > 0) { cost += (f + z - 1) / z; } dp2[i][j] = min(dp2[i][j], dp2[i - 1][j - k] + cost); } } } } for (int i = 1; i <= n; i++) { for (int j = 0; j <= t; j++) { dp1[i][j] = 1e18; if (a[i] + j * b[i] <= c[i]) { dp1[i][j] = dp1[i - 1][j]; continue; } for (int k = 0; k <= j; k++) { if (cl1[i][k]) { long long cost = (pb[i] * k + pa[i] + z - 1) / z; dp1[i][j] = min(dp1[i][j], dp2[i][j - k] + cost); } } for (int k = 0; k <= j; k++) { if (mr1[i][k] != -1) { if (mr1[i][k] % z + (j - k) * b[i] > c[i]) continue; long long cost = (pa[i] + pb[i] * k - mr1[i][k]) / z; long long f = mr1[i][k] + (j - k) * b[i] - c[i]; if (f > 0) { cost += (f + z - 1) / z; } dp1[i][j] = min(dp1[i][j], dp2[i - 1][j - k] + cost); } } } } cout << dp1[n][t] << '\n'; }
#include <bits/stdc++.h> using std::max; using std::min; const int inf = 0x3f3f3f3f, Inf = 0x7fffffff; const long long INF = 0x3f3f3f3f3f3f3f3f; std::mt19937 rnd(std::chrono::steady_clock::now().time_since_epoch().count()); template <typename _Tp> _Tp gcd(const _Tp &a, const _Tp &b) { return !b ? a : gcd(b, a % b); } template <typename _Tp> inline _Tp abs(const _Tp &a) { return a >= 0 ? a : -a; } template <typename _Tp> inline void chmax(_Tp &a, const _Tp &b) { a = a < b ? b : a; } template <typename _Tp> inline void chmin(_Tp &a, const _Tp &b) { a = a < b ? a : b; } template <typename _Tp> inline void read(_Tp &x) { char ch(getchar()); bool f(false); while (!isdigit(ch)) f |= ch == 45, ch = getchar(); x = ch & 15, ch = getchar(); while (isdigit(ch)) x = (((x << 2) + x) << 1) + (ch & 15), ch = getchar(); f && (x = -x); } template <typename _Tp, typename... Args> void read(_Tp &t, Args &...args) { read(t); read(args...); } inline int read_str(char *s) { char ch(getchar()); while (ch == ' ' || ch == '\r' || ch == '\n') ch = getchar(); char *tar = s; *tar++ = ch, ch = getchar(); while (ch != ' ' && ch != '\r' && ch != '\n' && ch != EOF) *tar++ = ch, ch = getchar(); return *tar = 0, tar - s; } const int N = 205; long long a[N], b[N], c[N], sa[N], sb[N], sc[N], f[N][N][2], g[N][N][2]; int main() { int n, t, s; read(n, t, s); for (int i = 1; i <= n; ++i) read(a[i], b[i], c[i]); a[n + 1] = 1e18, c[n + 1] = 1e18; for (int i = 1; i <= n + 1; ++i) sa[i] = a[i] + sa[i - 1], sb[i] = b[i] + sb[i - 1], sc[i] = c[i] + sc[i - 1]; memset(f, 63, sizeof(f)), memset(g, 63, sizeof(g)); for (int j = 0; j <= t; ++j) for (int k = 0; k < 2; ++k) f[0][j][k] = g[0][j][k] = 0; for (int i = 1; i <= n + 1; ++i) for (int j = 0; j <= t; ++j) for (int k = 0; k < 2; ++k) { if (f[i - 1][j][k] < INF && k * a[i] + j * b[i] <= c[i]) { chmin(f[i][j][k], f[i - 1][j][k]); long long need = (k * sa[i - 1] + j * sb[i - 1] + s - 1) / s; if (need * s <= k * sa[i] + j * sb[i]) chmin(g[i][j][k], need); } for (int r = 0; r < j; ++r) if (g[i][r][k] < INF && f[i - 1][j - r][0] < INF) { long long qwq = k * sa[i] + r * sb[i] - s * g[i][r][k]; long long need = (max(qwq + (j - r) * b[i] - c[i], 0LL) + s - 1) / s; if (need * s <= qwq) { chmin(f[i][j][k], g[i][r][k] + need + f[i - 1][j - r][0]); long long NEED = ((j - r) * sb[i - 1] + s - 1) / s; if (NEED * s <= (j - r) * sb[i] + qwq + c[i] - need * s) chmin(g[i][j][k], g[i][r][k] + need + NEED); } } } printf("%lld\n", f[n + 1][t][1]); return 0; }
#include <bits/stdc++.h> inline int read() { int data = 0, w = 1; char ch = getchar(); while (ch != '-' && (ch < '0' || ch > '9')) ch = getchar(); if (ch == '-') w = -1, ch = getchar(); while (ch >= '0' && ch <= '9') data = data * 10 + (ch ^ 48), ch = getchar(); return data * w; } using ll = long long; template <typename T> inline void chkmin(T &x, const T &y) { if (y < x) x = y; } const ll INF(0x3f3f3f3f3f3f3f3fll); const int N(205); int n, t, K; ll a[N], b[N], c[N], sa[N], sb[N], f[N][N][2], g[N][N][2]; int main() { n = read(), t = read(), K = read(); for (int i = 1; i <= n; i++) a[i] = read(), b[i] = read(), c[i] = read(); ++n, a[n] = b[n] = 2e9, c[n] = INF; for (int i = 1; i <= n; i++) sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; std::memset(f, 0x3f, sizeof f), std::memset(g, 0x3f, sizeof g); std::memset(*f, 0, sizeof *f), std::memset(*g, 0, sizeof *g); for (int i = 1; i <= n; i++) for (int j = 0; j <= t; j++) for (int k = 0; k < 2; k++) { if (k * a[i] + j * b[i] <= c[i] && f[i - 1][j][k] != INF) { chkmin(f[i][j][k], f[i - 1][j][k]); ll c = (k * sa[i - 1] + j * sb[i - 1] + K - 1) / K; if (c * K <= k * sa[i] + j * sb[i]) chkmin(g[i][j][k], c); } for (int l = 0; l < j; l++) if (g[i][l][k] != INF) { ll res = k * sa[i] + l * sb[i] - K * g[i][l][k], cnt = (std::max(res + (j - l) * b[i] - c[i], 0ll) + K - 1) / K; if (cnt * K <= res && f[i - 1][j - l][0] != INF) { chkmin(f[i][j][k], g[i][l][k] + cnt + f[i - 1][j - l][0]); ll c = ((j - l) * sb[i - 1] + K - 1) / K; if (c * K <= (j - l) * sb[i] + res - cnt * K) chkmin(g[i][j][k], g[i][l][k] + cnt + c); } } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; const long long M = 305, inf = 1e18; long long read() { long long x = 0, y = 1; char ch = getchar(); while (ch < '0' || ch > '9') y = (ch == '-') ? -1 : 1, ch = getchar(); while (ch >= '0' && ch <= '9') x = x * 10 + ch - '0', ch = getchar(); return x * y; } long long a[M], b[M], c[M], sa[M], sb[M], f[M][M][2], g[M][M][2]; signed main() { long long n = read(), t = read(), k = read(); for (long long i = 1; i <= n; i++) a[i] = read(), b[i] = read(), c[i] = read(); ++n; a[n] = c[n] = inf; for (long long i = 1; i <= n; i++) sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; for (long long i = 1; i <= n; i++) for (long long j = 0; j <= t; j++) for (long long fl = 0; fl <= 1; fl++) { f[i][j][fl] = g[i][j][fl] = inf; if (j * b[i] + fl * a[i] <= c[i] && f[i - 1][j][fl] != inf) { f[i][j][fl] = f[i - 1][j][fl]; long long v = (fl * sa[i - 1] + j * sb[i - 1] + k - 1) / k; if (v * k <= fl * sa[i] + j * sb[i]) g[i][j][fl] = v; } for (long long l = 0; l <= j - 1; l++) if (g[i][l][fl] < inf) { long long v1 = fl * sa[i] + l * sb[i] - k * g[i][l][fl]; long long v2 = (max(v1 + (j - l) * b[i] - c[i], 0ll) + k - 1) / k; if (v2 * k <= v1 && f[i - 1][j - l][0] < inf) { f[i][j][fl] = min(f[i][j][fl], g[i][l][fl] + v2 + f[i - 1][j - l][0]); long long v = ((j - l) * sb[i - 1] + k - 1) / k; if (v * k <= (j - l) * sb[i] + v1 - v2 * k) g[i][j][fl] = min(g[i][j][fl], g[i][l][fl] + v2 + v); } } } printf("%lld\n", f[n][t][1]); }
#include <bits/stdc++.h> using namespace std; long long gcd(long long a, long long b) { return b == 0 ? a : gcd(b, a % b); } const int MAXSTAT = 200 + 1; const int MAXT = 200; int nstat, tend; long long cap; long long init[MAXSTAT], delta[MAXSTAT], lim[MAXSTAT]; long long suminit[MAXSTAT + 1], sumdelta[MAXSTAT + 1]; long long dp[MAXSTAT + 1][MAXT + 1][2][2]; void upd(long long &a, const long long b) { if (b < a) a = b; } long long solve() { init[nstat] = delta[nstat] = cap, lim[nstat] = (tend + 1) * cap, ++nstat; suminit[0] = 0; for (int i = (0); i < (nstat); ++i) suminit[i + 1] = suminit[i] + init[i]; sumdelta[0] = 0; for (int i = (0); i < (nstat); ++i) sumdelta[i + 1] = sumdelta[i] + delta[i]; for (int i = (0); i <= (nstat); ++i) for (int j = (0); j <= (tend); ++j) for (int x = (0); x < (2); ++x) for (int y = (0); y < (2); ++y) dp[i][j][x][y] = LLONG_MAX; for (int j = (0); j <= (tend); ++j) for (int y = (0); y < (2); ++y) dp[0][j][0][y] = 0; for (int i = (0); i <= (nstat); ++i) for (int y = (0); y < (2); ++y) dp[i][0][0][y] = 0; for (int i = (1); i <= (nstat); ++i) for (int j = (1); j <= (tend); ++j) for (int y = (0); y < (2); ++y) { if (y * init[i - 1] + (j - 1) * delta[i - 1] <= lim[i - 1] && dp[i - 1][j - 1][0][y] != LLONG_MAX) { long long have = y * init[i - 1] + (j - 1) * delta[i - 1], cost = 0; assert(have <= lim[i - 1]); long long rembefore = y * suminit[i - 1] + (j - 1) * sumdelta[i - 1] - dp[i - 1][j - 1][0][y] * cap; assert(rembefore >= 0); cost += rembefore / cap + 1; long long now = cap * cost - rembefore; assert(now > 0 && now <= cap); if (now <= have) upd(dp[i][j][1][y], dp[i - 1][j - 1][0][y] + cost); } for (int jj = (1); jj <= (j - 1); ++jj) if (dp[i][jj][1][y] != LLONG_MAX && dp[i - 1][j - jj][0][0] != LLONG_MAX) { long long have = y * suminit[i] + (jj - 1) * sumdelta[i] - dp[i][jj][1][y] * cap; assert(have >= 0 && have <= lim[i - 1]); long long dhave = (j - jj) * delta[i - 1], cost1 = 0; if (have + dhave > lim[i - 1]) { cost1 = (have + dhave - lim[i - 1] + cap - 1) / cap; if (cost1 * cap > have) continue; have -= cost1 * cap; } have += dhave; assert(have <= lim[i - 1]); long long rembefore = (j - jj) * sumdelta[i - 1] - dp[i - 1][j - jj][0][0] * cap; assert(rembefore >= 0); long long cost2 = rembefore / cap + 1; long long now = cap * cost2 - rembefore; assert(now > 0 && now <= cap); if (now <= have) upd(dp[i][j][1][y], dp[i][jj][1][y] + dp[i - 1][j - jj][0][0] + cost1 + cost2); } if (y * init[i - 1] + j * delta[i - 1] <= lim[i - 1] && dp[i - 1][j][0][y] != LLONG_MAX) { upd(dp[i][j][0][y], dp[i - 1][j][0][y]); } for (int jj = (y == 0 ? 2 : 1); jj <= (j); ++jj) if (dp[i][jj][1][y] != LLONG_MAX && dp[i][j - jj + 1][0][0] != LLONG_MAX) { long long have = y * suminit[i] + (jj - 1) * sumdelta[i] - dp[i][jj][1][y] * cap, cost = 0; assert(have >= 0 && have <= lim[i - 1]); long long dhave = (j - jj + 1) * delta[i - 1]; if (have + dhave > lim[i - 1]) { long long dcost = (have + dhave - lim[i - 1] + cap - 1) / cap; if (dcost * cap > have) continue; have -= dcost * cap, cost += dcost; } have += dhave; assert(have <= lim[i - 1]); upd(dp[i][j][0][y], dp[i][jj][1][y] + dp[i][j - jj + 1][0][0] + cost); } } return dp[nstat][tend][0][1]; } void run() { scanf("%d%d%lld", &nstat, &tend, &cap); for (int i = (0); i < (nstat); ++i) scanf("%lld%lld%lld", &init[i], &delta[i], &lim[i]); long long ans = solve(); printf("%lld\n", ans == LLONG_MAX ? -1 : ans); } int myrand() { return rand() % 1000 * 1000000 + rand() % 1000 * 1000 + rand() % 1001; } void stress() { for (int rep = (0); rep < (1000); ++rep) { nstat = 200, tend = 200, cap = myrand(); if (cap == 0) ++cap; for (int i = (0); i < (nstat); ++i) { init[i] = myrand(), delta[i] = myrand(), lim[i] = myrand(); if (init[i] > lim[i]) swap(init[i], lim[i]); if (delta[i] > lim[i]) swap(delta[i], lim[i]); } solve(); printf("."); } } int main() { run(); return 0; }
#include <bits/stdc++.h> using namespace std; const int _ = 200 + 7; const long long inf = 1e15; int n, T, K; long long a[_], b[_], c[_], sa[_], sb[_], d[_][_][2], g[_][_][2]; long long Ceil(long long x, long long y) { return x % y ? x / y + 1 : x / y; } void upd(long long &x, long long y) { x = min(x, y); } int main() { cin >> n >> T >> K; for (int i = 1; i <= n; ++i) { cin >> a[i] >> b[i] >> c[i]; sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } a[++n] = inf, c[n] = inf; sa[n] = sa[n - 1] + a[n]; for (int p = 1; p <= n; ++p) for (int s = 0; s <= T; ++s) for (int z = 0; z <= 1; ++z) d[p][s][z] = g[p][s][z] = inf; for (int p = 1; p <= n; ++p) for (int s = 0; s <= T; ++s) for (int z = 0; z <= 1; ++z) { if (z * a[p] + s * b[p] <= c[p] and d[p - 1][s][z] != inf) { upd(d[p][s][z], d[p - 1][s][z]); long long num = Ceil(z * sa[p - 1] + s * sb[p - 1], K); if (num * K <= z * sa[p] + s * sb[p]) upd(g[p][s][z], num); } for (int r = 0; r < s; ++r) if (g[p][r][z] != inf and d[p - 1][s - r][0] != inf) { long long m = z * sa[p] + r * sb[p] - K * g[p][r][z]; long long x = Ceil(max(0ll, m + (s - r) * b[p] - c[p]), K); if (K * x <= m) { upd(d[p][s][z], g[p][r][z] + x + d[p - 1][s - r][0]); long long num = Ceil((s - r) * sb[p - 1], K); if (num * K <= m - K * x + (s - r) * sb[p]) upd(g[p][s][z], g[p][r][z] + x + num); } } } cout << d[n][T][1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 205; const long long INF = 1e18; template <typename T> void chkmax(T& x, T y) { x = x > y ? x : y; } template <typename T> void chkmin(T& x, T y) { x = x < y ? x : y; } template <typename T> void read(T& x) { x = 0; int f = 1; char c = getchar(); for (; !isdigit(c); c = getchar()) if (c == '-') f = -f; for (; isdigit(c); c = getchar()) x = x * 10 + c - '0'; x *= f; } template <typename T> void write(T x) { if (x < 0) x = -x, putchar('-'); if (x > 9) write(x / 10); putchar(x % 10 + '0'); } template <typename T> void writeln(T x) { write(x); puts(""); } int n, t, x; long long a[MAXN], b[MAXN], c[MAXN], sa[MAXN], sb[MAXN], sc[MAXN], f[MAXN][MAXN][2], g[MAXN][MAXN][2]; long long divx(long long a) { if (a <= 0) return 0; else return (a - 1) / x + 1; } int main(void) { read(n), read(t), read(x); for (int i = 1; i <= n; i++) { read(a[i]), sa[i] = sa[i - 1] + a[i]; read(b[i]), sb[i] = sb[i - 1] + b[i]; read(c[i]), sc[i] = sc[i - 1] + c[i]; } n++, a[n] = c[n] = INF, b[n] = 0; sa[n] = sa[n - 1] + a[n]; sb[n] = sb[n - 1] + b[n]; sc[n] = sc[n - 1] + c[n]; for (int i = 1; i <= n; i++) for (int j = 0; j <= t; j++) for (int t = 0; t <= 1; t++) { f[i][j][t] = g[i][j][t] = INF; if (a[i] * t + b[i] * j <= c[i] && f[i - 1][j][t] != INF) { f[i][j][t] = f[i - 1][j][t]; g[i][j][t] = divx(sa[i - 1] * t + sb[i - 1] * j); if (g[i][j][t] * x > sa[i] + sb[i] * j) g[i][j][t] = INF; } for (int k = 0; k <= j - 1; k++) if (g[i][k][t] != INF) { long long lft = sa[i] * t + sb[i] * k - g[i][k][t] * x, cnt = divx(b[i] * (j - k) + lft - c[i]); if ((g[i][k][t] + cnt) * x > sa[i] * t + sb[i] * k) continue; chkmin(f[i][j][t], g[i][k][t] + cnt + f[i - 1][j - k][0]); long long tmp = divx(sb[i - 1] * (j - k)); if (f[i - 1][j - k][0] != INF && (g[i][k][t] + cnt + tmp) * x <= sa[i] * t + sb[i] * j) chkmin(g[i][j][t], g[i][k][t] + cnt + tmp); } } writeln(f[n][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; const long long inf = 2147383647; const double pi = 2 * acos(0.0); const double eps = 1e-9; mt19937 rng(std::chrono::duration_cast<std::chrono::nanoseconds>( chrono::high_resolution_clock::now().time_since_epoch()) .count()); template <typename S, typename T> void xmin(S& a, T const& b) { if (b < a) a = b; } template <typename S, typename T> void xmax(S& a, T const& b) { if (b > a) a = b; } struct debugger { template <typename T> debugger& operator,(const T& v) { cerr << v << " "; return *this; } } dbg; inline long long gcd(long long a, long long b) { a = ((a) < 0 ? -(a) : (a)); b = ((b) < 0 ? -(b) : (b)); while (b) { a = a % b; swap(a, b); } return a; } long long ext_gcd(long long A, long long B, long long* X, long long* Y) { long long x2, y2, x1, y1, x, y, r2, r1, q, r; x2 = 1; y2 = 0; x1 = 0; y1 = 1; for (r2 = A, r1 = B; r1 != 0; r2 = r1, r1 = r, x2 = x1, y2 = y1, x1 = x, y1 = y) { q = r2 / r1; r = r2 % r1; x = x2 - (q * x1); y = y2 - (q * y1); } *X = x2; *Y = y2; return r2; } inline long long modInv(long long a, long long m) { long long x, y; ext_gcd(a, m, &x, &y); x %= m; if (x < 0) x += m; return x; } inline long long power(long long a, long long p) { long long res = 1, x = a; while (p) { if (p & 1) res = (res * x); x = (x * x); p >>= 1; } return res; } inline long long bigmod(long long a, long long p, long long m) { long long res = 1 % m, x = a % m; while (p) { if (p & 1) res = (res * x) % m; x = (x * x) % m; p >>= 1; } return res; } signed gen(int T) { auto get_rand = [&](int64_t l, int64_t r) { return uniform_int_distribution<int64_t>(l, r)(rng); }; ofstream o("gen.txt"); const int N = T; T = 1; o << T << "\n"; for (int cas = 0; cas < T; ++cas) { o << "\n"; int n = get_rand(1, N), t = get_rand(1, N), k = get_rand(1, N); o << n << ' ' << t << ' ' << k << "\n"; for (long long i = (1); i <= (n); ++i) { int a = get_rand(0, N), b = get_rand(0, N), c = get_rand(((a) > (b) ? (a) : (b)), N); o << a << ' ' << b << ' ' << c << "\n"; } } o << endl; o.close(); return 0; } const int N = 200; const long long INF = inf << 30; long long dp[N + 2][N + 1][2], dp2[N + 2][N + 1][2], A[N + 2], B[N + 2], C[N + 2], SA[N + 2], SB[N + 2], SC[N + 2]; signed main() { cin.tie(0); cout.tie(0); ios_base::sync_with_stdio(false); int n, t, K; cin >> n >> t >> K; for (long long i = (1); i <= (n); ++i) { cin >> A[i] >> B[i] >> C[i]; SA[i] = SA[i - 1] + A[i]; SB[i] = SB[i - 1] + B[i]; SC[i] = SC[i - 1] + C[i]; } A[n + 1] = INF; B[n + 1] = 0; C[n + 1] = 2 * INF; SA[n + 1] = SA[n] + A[n + 1]; SB[n + 1] = SB[n] + B[n + 1]; SC[n + 1] = SC[n] + C[n + 1]; memset(dp, -1, sizeof(dp)); memset(dp2, -1, sizeof(dp2)); for (long long i = (0); i <= (n + 1); ++i) { for (long long j = (0); j <= (t); ++j) { for (long long k = (0); k <= (1); ++k) { if (i == 0) { dp[i][j][k] = dp2[i][j][k] = 0; } else { if (k * A[i] + j * B[i] <= C[i]) { if (dp[i - 1][j][k] != -1) { dp[i][j][k] = dp[i - 1][j][k]; long long val = (k * SA[i - 1] + j * SB[i - 1] + K - 1) / K; if (val * K <= k * SA[i] + j * SB[i]) { dp2[i][j][k] = val; } } } for (long long jj = (0); jj <= (j - 1); ++jj) { long long aux = dp2[i][jj][k]; if (aux != -1) { long long rem = k * SA[i] + jj * SB[i] - K * aux, val = (((0) > (rem + (j - jj) * B[i] - C[i]) ? (0) : (rem + (j - jj) * B[i] - C[i])) + K - 1) / K; if (val * K <= rem) { if (dp[i - 1][j - jj][0] != -1) { long long newValue = aux + val + dp[i - 1][j - jj][0]; if (dp[i][j][k] == -1 || dp[i][j][k] > newValue) { dp[i][j][k] = newValue; } long long x = ((j - jj) * SB[i - 1] + K - 1) / K; if (x * K <= (j - jj) * SB[i] + rem - val * K) { newValue = aux + val + x; if (dp2[i][j][k] == -1 || dp2[i][j][k] > newValue) { dp2[i][j][k] = newValue; } } } } } } } } } } long long res = dp[n + 1][t][1]; cout << res << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const long long int MAXN = 251, inf = 1e16; long long int n, m, t, kk, rr, rx; long long int x[MAXN], y[MAXN], v[MAXN], px[MAXN], py[MAXN]; long long int d[MAXN][MAXN][2], g[MAXN][MAXN][2]; inline long long int read() { register long long int num = 0, neg = 1; register char ch = getchar(); while (!isdigit(ch) && ch != '-') { ch = getchar(); } if (ch == '-') { neg = -1; ch = getchar(); } while (isdigit(ch)) { num = (num << 3) + (num << 1) + (ch - '0'); ch = getchar(); } return num * neg; } inline long long int ceil(long long int x, long long int y) { return x / y + !!(x % y); } inline void chkmin(long long int &x, long long int y) { x = x < y ? x : y; } int main() { n = read(), t = read(), kk = read(); for (register int i = 1; i <= n; i++) { x[i] = read(), y[i] = read(), v[i] = read(); px[i] = px[i - 1] + x[i], py[i] = py[i - 1] + y[i]; } x[++n] = inf, v[n] = inf, px[n] = px[n - 1] + x[n]; for (register int p = 1; p <= n; p++) { for (register int s = 0; s <= t; s++) { d[p][s][0] = d[p][s][1] = g[p][s][0] = g[p][s][1] = inf; } } for (register int p = 1; p <= n; p++) { for (register int s = 0; s <= t; s++) { for (register int z = 0; z <= 1; z++) { if (d[p - 1][s][z] != inf && z * x[p] + s * y[p] <= v[p]) { chkmin(d[p][s][z], d[p - 1][s][z]); rr = ceil(z * px[p - 1] + s * py[p - 1], kk); rr *kk <= z *px[p] + s *py[p] ? chkmin(g[p][s][z], rr) : (void)1; } for (register int r = 0; r < s; r++) { if (g[p][r][z] != inf && d[p - 1][s - r][0] != inf) { m = z * px[p] + r * py[p] - kk * g[p][r][z]; rr = ceil(max(0ll, m + (s - r) * y[p] - v[p]), kk); if (kk * rr <= m) { chkmin(d[p][s][z], g[p][r][z] + rr + d[p - 1][s - r][0]); rx = ceil((s - r) * py[p - 1], kk); if (rx * kk <= m - kk * rr + (s - r) * py[p]) { chkmin(g[p][s][z], g[p][r][z] + rx + rr); } } } } chkmin(d[p][s][z], g[p][s][z]); } } } printf("%lld\n", d[n][t][1]); }
#include <bits/stdc++.h> using namespace std; struct qqq { long long a, b, c; } a[210]; int n, t; long long m, maxx, f[210][210][2], g[210][210][2], su[210][2]; int read() { int sum = 0, f = 1; char st = getchar(); while (st < '0' || st > '9') { if (st == '-') f = -1; st = getchar(); } while ('0' <= st && st <= '9') { sum = (sum << 3) + (sum << 1) + st - '0'; st = getchar(); } return sum * f; } int main() { cin >> n >> t >> m; for (int i = 1; i <= n; i++) { a[i].a = read(), a[i].b = read(), a[i].c = read(); su[i][0] = su[i - 1][0] + a[i].a; su[i][1] = su[i - 1][1] + a[i].b; } n++; a[n].a = 1e18, a[n].c = 1e18, a[n].b = 0; su[n][0] = su[n - 1][0] + a[n].a; su[n][1] = su[n - 1][1] + a[n].b; memset(f, 0x7f, sizeof(f)); memset(g, 0x7f, sizeof(g)); maxx = f[0][0][0]; for (int i = 0; i <= t; i++) f[0][i][0] = f[0][i][1] = g[0][i][0] = g[0][i][1] = 0; for (int i = 1; i <= n; i++) { for (long long j = 0; j <= t; j++) { for (long long p = 0; p <= 1; p++) { if (a[i].a * p + a[i].b * j <= a[i].c && f[i - 1][j][p] < maxx) { f[i][j][p] = f[i - 1][j][p]; long long st = ceil((double)(su[i - 1][0] * p + su[i - 1][1] * j) / m); if (st * m <= su[i][0] * p + su[i][1] * j) g[i][j][p] = st; } for (int k = 0; k < j; k++) { if (g[i][k][p] < maxx) { long long sy = p * su[i][0] + k * su[i][1] - g[i][k][p] * m + (j - k) * a[i].b - a[i].c; long long st = ceil((double)max(0ll, sy) / m); long long v = p * su[i][0] + k * su[i][1] - g[i][k][p] * m - st * m; if (v >= 0 && f[i - 1][j - k][0] < maxx) { f[i][j][p] = min(f[i][j][p], st + g[i][k][p] + f[i - 1][j - k][0]); long long stt = ceil((double)(j - k) * su[i - 1][1] / m); if (stt * m <= (j - k) * su[i][1] + v) g[i][j][p] = min(g[i][j][p], st + stt + g[i][k][p]); } } } } } } cout << f[n][t][1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int getint() { int ans = 0, f = 1; char c = getchar(); while (c < '0' || c > '9') { if (c == '-') f = -1; c = getchar(); } while (c >= '0' && c <= '9') { ans = ans * 10 + c - '0'; c = getchar(); } return ans * f; } const int N = 310; const long long inf = 0x3f3f3f3f3f3f3f3fll; long long a[N], b[N], c[N]; long long sa[N], sb[N], sc[N]; long long f[N][N][2], g[N][N][2]; inline void Min(long long& a, long long b) { (b < a ? a = b : 0); } int main() { int n = getint(), t = getint(), k = getint(); for (int i = 1; i <= n; i++) { a[i] = getint(); b[i] = getint(); c[i] = getint(); sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; sc[i] = sc[i - 1] + c[i]; } n++; a[n] = inf, b[n] = 0, c[n] = inf; sa[n] = sa[n - 1] + a[n]; sb[n] = sb[n - 1] + b[n]; sc[n] = sc[n - 1] + c[n]; memset(f, 0x3f, sizeof(f)); memset(g, 0x3f, sizeof(g)); memset(f[0], 0, sizeof(f[0])); memset(g[0], 0, sizeof(g[0])); for (int i = 1; i <= n; i++) { for (int j = 0; j <= t; j++) { for (int z = 0; z <= 1; z++) { if (f[i - 1][j][z] < inf && a[i] * z + b[i] * j <= c[i]) { Min(f[i][j][z], f[i - 1][j][z]); long long val = (z * sa[i - 1] + j * sb[i - 1] + k - 1) / k; if (val * k <= z * sa[i] + j * sb[i]) { Min(g[i][j][z], val); } } for (int r = 0; r < j; r++) { if (g[i][r][z] >= inf) continue; long long rem = z * sa[i] + r * sb[i] - k * g[i][r][z]; long long x = (max(0ll, rem + (j - r) * b[i] - c[i]) + k - 1) / k; if (x * k > rem) continue; if (f[i - 1][j - r][0] >= inf) continue; Min(f[i][j][z], g[i][r][z] + x + f[i - 1][j - r][0]); long long val = ((j - r) * sb[i - 1] + k - 1) / k; if (val * k > (j - r) * sb[i] + rem - x * k) continue; Min(g[i][j][z], g[i][r][z] + x + val); } } } } cout << f[n][t][1]; return 0; }
#include <bits/stdc++.h> using namespace std; long long a[300], b[300], c[300], sa[300], sb[300]; long long f[300][300][2], g[300][300][2]; int main() { int n, t, k; cin >> n >> t >> k; for (int i = 1; i <= n; i++) { scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } n++; a[n] = c[n] = (1LL << 50); sa[n] = a[n] + sa[n - 1]; for (int i = 1; i <= n; i++) { for (int j = 0; j <= t; j++) { for (int z = 0; z <= 1; z++) { f[i][j][z] = g[i][j][z] = (1LL << 50); if (z * a[i] + j * b[i] <= c[i] && f[i - 1][j][z] != (1LL << 50)) { f[i][j][z] = f[i - 1][j][z]; long long v = ((z * sa[i - 1] + j * sb[i - 1]) + k - 1) / k; if (v * k <= z * sa[i] + j * sb[i]) g[i][j][z] = v; } for (int r = 0; r < j; r++) { if (g[i][r][z] == (1LL << 50)) continue; long long re = sa[i] * z + sb[i] * r - g[i][r][z] * k; long long v = (max(0LL, (j - r) * b[i] + re - c[i]) + k - 1) / k; if (v * k <= re && f[i - 1][j - r][0] != (1LL << 50)) { f[i][j][z] = min(f[i][j][z], g[i][r][z] + v + f[i - 1][j - r][0]); long long u = (sb[i - 1] * (j - r) + k - 1) / k; if (u * k <= sb[i] * (j - r) + re - v * k) g[i][j][z] = min(g[i][j][z], g[i][r][z] + v + u); } } } } } cout << f[n][t][1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long read() { char c = 0; long long sum = 0; while (c < '0' || c > '9') c = getchar(); while ('0' <= c && c <= '9') sum = sum * 10 + c - '0', c = getchar(); return sum; } long long n, T, k, a[201 + 1], Sa[201 + 1], Sb[201 + 1], b[201 + 1], c[201 + 1], d[201 + 1][201 + 1][2], g[201 + 1][201 + 1][2]; signed main() { long long m, x; n = read(), T = read(), k = read(); for (long long i = 1; i <= n; ++i) a[i] = read(), b[i] = read(), c[i] = read(); ++n, a[n] = 1e10, b[n] = 1e10, c[n] = 1e15; for (long long i = 0; i <= T; ++i) for (long long j = 1; j <= n; ++j) for (long long t = 0; t <= 1; ++t) d[i][j][t] = g[i][j][t] = 1e15; for (long long i = 1; i <= n; ++i) Sa[i] = Sa[i - 1] + a[i], Sb[i] = Sb[i - 1] + b[i]; for (long long i = 0; i <= T; ++i) for (long long j = 1; j <= n; ++j) for (long long t = 0; t <= 1; ++t) { if (d[i][j - 1][t] != 1e15 && a[j] * t + b[j] * i <= c[j]) { d[i][j][t] = min(d[i][j][t], d[i][j - 1][t]); if ((Sa[j - 1] * t + Sb[j - 1] * i + k - 1) / k * k <= Sa[j] * t + Sb[j] * i) g[i][j][t] = min(g[i][j][t], (Sa[j - 1] * t + Sb[j - 1] * i + k - 1) / k); } for (long long l = 0; l <= i - 1; ++l) if (d[i - l][j - 1][0] != 1e15) { m = Sa[j] * t + Sb[j] * l - g[l][j][t] * k, x = (max(m + b[j] * (i - l) - c[j], 0ll) + k - 1) / k; if (x * k <= m) { d[i][j][t] = min(d[i][j][t], g[l][j][t] + x + d[i - l][j - 1][0]); if ((Sb[j - 1] * (i - l) + k - 1) / k * k <= Sb[j] * (i - l) + m - x * k) g[i][j][t] = min(g[i][j][t], g[l][j][t] + x + (Sb[j - 1] * (i - l) + k - 1) / k); } } } printf("%lld\n", d[T][n][1]); return 0; }
#include <bits/stdc++.h> inline long long cl(long long x, long long y) { return (x + y - 1) / y; } long long n, m, k, a[205], b[205], c[205]; long long sa[205], sb[205]; long long f[205][205][2], g[205][205][2]; int main() { scanf("%lld%lld%lld", &n, &m, &k); for (int i = 1; i <= n; i++) scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); n++; a[n] = b[n] = INT_MAX; c[n] = 0x3f3f3f3f3f3f3f3f; for (int i = 1; i <= n; i++) { sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } memset(f, 0x3f, sizeof(f)); memset(g, 0x3f, sizeof(g)); memset(f[0], 0, sizeof(f[0])); memset(g[0], 0, sizeof(g[0])); for (int i = 1; i <= n; i++) for (int j = 0; j <= m; j++) for (int l = 0; l < 2; l++) { if (l * a[i] + j * b[i] <= c[i] && f[i - 1][j][l] < 0x3f3f3f3f3f3f3f3f) { f[i][j][l] = std::min(f[i][j][l], f[i - 1][j][l]); long long L = cl(l * sa[i - 1] + j * sb[i - 1], k); if (L * k <= l * sa[i] + j * sb[i]) g[i][j][l] = std::min(g[i][j][l], L); } for (int r = 0; r < j; r++) if (g[i][r][l] < 0x3f3f3f3f3f3f3f3f) { long long rm = l * sa[i] + r * sb[i] - k * g[i][r][l], nd = cl(std::max(rm + (j - r) * b[i] - c[i], 0ll), k); if (nd * k <= rm && f[i - 1][j - r][0] < 0x3f3f3f3f3f3f3f3f) { f[i][j][l] = std::min(f[i][j][l], g[i][r][l] + nd + f[i - 1][j - r][0]); long long L = cl((j - r) * sb[i - 1], k); if (L * k <= (j - r) * sb[i] + rm - nd * k) g[i][j][l] = std::min(g[i][j][l], g[i][r][l] + nd + L); } } } printf("%lld\n", f[n][m][1]); }
#include <bits/stdc++.h> using namespace std; int getint() { int ans = 0, f = 1; char c = getchar(); while (c < '0' || c > '9') { if (c == '-') f = -1; c = getchar(); } while (c >= '0' && c <= '9') { ans = ans * 10 + c - '0'; c = getchar(); } return ans * f; } const int N = 310; const long long inf = 0x3f3f3f3f3f3f3f3fll; long long a[N], b[N], c[N]; long long sa[N], sb[N], sc[N]; long long f[N][N][2], g[N][N][2]; inline void Min(long long &a, long long b) { (b < a ? a = b : 0); } int main() { int n = getint(), t = getint(), k = getint(); for (int i = 1; i <= n; i++) { a[i] = getint(); b[i] = getint(); c[i] = getint(); sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; sc[i] = sc[i - 1] + c[i]; } n++; a[n] = inf, b[n] = 0, c[n] = inf; sa[n] = sa[n - 1] + a[n]; sb[n] = sb[n - 1] + b[n]; sc[n] = sc[n - 1] + c[n]; memset(f, 0x3f, sizeof(f)); memset(g, 0x3f, sizeof(g)); memset(f[0], 0, sizeof(f[0])); memset(g[0], 0, sizeof(g[0])); for (int i = 1; i <= n; i++) { for (int j = 0; j <= t; j++) { for (int z = 0; z <= 1; z++) { if (f[i - 1][j][z] < inf && a[i] * z + b[i] * j <= c[i]) { Min(f[i][j][z], f[i - 1][j][z]); long long val = (z * sa[i - 1] + j * sb[i] + k - 1) / k; if (val * k <= z * sa[i] + j * sb[i]) { Min(g[i][j][z], val); } } for (int r = 0; r < j; r++) { if (g[i][r][z] >= inf) continue; long long rem = z * sa[i] + r * sb[i] - k * g[i][r][z]; long long x = (max(0ll, rem + (j - r) * b[i] - c[i]) + k - 1) / k; if (x * k > rem) continue; if (f[i - 1][j - r][0] >= inf) continue; Min(f[i][j][z], g[i][r][z] + x + f[i - 1][j - r][0]); long long val = ((j - r) * sb[i - 1] + k - 1) / k; if (val * k > (j - r) * sb[i] + rem - x * k) continue; Min(g[i][j][z], g[i][r][z] + x + val); } } } } cout << f[n][t][1]; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 200 + 11; long long a[N], b[N], c[N], sa[N], sb[N], sc[N]; long long d[N][N][2], g[N][N][2]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); long long n, t, k; cin >> n >> t >> k; for (int i = 1; i <= n; i++) { cin >> a[i] >> b[i] >> c[i]; } n++; a[n] = 2e18; b[n] = 0; c[n] = 2e18; for (int i = 1; i <= n; i++) { sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; sc[i] = sc[i - 1] + c[i]; } for (int p = 1; p <= n; p++) for (int s = 0; s <= t; s++) for (int z = 0; z <= 1; z++) { d[p][s][z] = 2e18; g[p][s][z] = 2e18; if (d[p - 1][s][z] < 2e18 && a[p] * 1ll * z + b[p] * 1ll * s <= c[p]) { d[p][s][z] = d[p - 1][s][z]; long long d = (z * 1ll * sa[p - 1] + s * 1ll * sb[p - 1] + k - 1) / k; if (d * k <= z * 1ll * sa[p] + s * 1ll * sb[p]) g[p][s][z] = d; } for (int r = 0; r < s; r++) if (g[p][r][z] < 2e18) { long long m = z * 1ll * sa[p] + r * 1ll * sb[p] - k * 1ll * g[p][r][z]; long long x = (max(m + (s - r) * b[p] - c[p], 0ll) + k - 1) / k; m -= x * k; if (m >= 0 && d[p - 1][s - r][0] < 2e18) { d[p][s][z] = min(d[p][s][z], g[p][r][z] + x + d[p - 1][s - r][0]); long long d = ((s - r) * sb[p - 1] + k - 1) / k; if (d * k <= m + (s - r) * 1ll * sb[p]) g[p][s][z] = min(g[p][s][z], g[p][r][z] + x + d); } } } cout << d[n][t][1]; }
#include <bits/stdc++.h> using namespace std; const int N = 234; const long long inf = 1ll << 60; long long a[N], b[N], c[N], sa[N], sb[N], d[N][N][N], g[N][N][N]; int n, t, k; int main() { scanf("%d %d %d", &n, &t, &k); for (int i = 1; i <= n; ++i) { scanf("%d %d %d", &a[i], &b[i], &c[i]); } ++n; a[n] = c[n] = inf; for (int i = 1; i <= n; ++i) { sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } for (int p = 1; p <= n; ++p) { for (int s = 0; s <= t; ++s) { for (int z = 0; z < 2; ++z) { d[p][s][z] = g[p][s][z] = inf; if (s * b[p] + z * a[p] <= c[p] && d[p - 1][s][z] < inf) { d[p][s][z] = d[p - 1][s][z]; long long value = (z * sa[p - 1] + s * sb[p - 1] + k - 1) / k; if (value * k <= z * sa[p] + s * sb[p]) { g[p][s][z] = value; } } for (int r = 0; r < s; ++r) { if (g[p][r][z] < inf) { long long m = z * sa[p] + r * sb[p] - k * g[p][r][z]; long long x = (max(m + (s - r) * b[p] - c[p], 0ll) + k - 1) / k; if (x * k <= m && d[p - 1][s - r][0] < inf) { d[p][s][z] = min(d[p][s][z], g[p][r][z] + x + d[p - 1][s - r][0]); long long value = ((s - r) * sb[p - 1] + k - 1) / k; if (value * k <= (s - r) * sb[p] + m - x * k) { g[p][s][z] = min(g[p][s][z], g[p][r][z] + x + value); } } } } } } } printf("%lld\n", d[n][t][1]); return 0; }
#include <bits/stdc++.h> constexpr int N(205); constexpr long long inf(0x3f3f3f3f3f3f3f3f); void Min(long long &x, long long y) { x > y && (x = y); } int main(void) { int n, t; long long k; scanf("%d%d%lld", &n, &t, &k); static long long a[N], b[N], c[N], sa[N], sb[N], sc[N]; for (int i(1); i <= n; ++i) scanf("%lld%lld%lld", a + i, b + i, c + i); ++n, a[n] = c[n] = inf; for (int i(1); i <= n; ++i) sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i], sc[i] = sc[i - 1] + c[i]; static long long f[N][N][2], g[N][N][2]; memset(f, 0x3f, sizeof(f)); memset(g, 0x3f, sizeof(g)); for (int i(0); i <= t; ++i) f[0][i][0] = f[0][i][1] = g[0][i][0] = g[0][i][1] = 0; for (int p(1); p <= n; ++p) for (int s(0); s <= t; ++s) for (int z(0); z < 2; ++z) { static long long val, x, m; if (f[p - 1][s][z] != inf && z * a[p] + s * b[p] <= c[p]) { Min(f[p][s][z], f[p - 1][s][z]); val = (z * sa[p - 1] + s * sb[p - 1] + k - 1) / k; if (val * k <= z * sa[p] + s * sb[p]) Min(g[p][s][z], val); } for (int r(0); r < s; ++r) if (g[p][r][z] ^ inf) { m = z * sa[p] + r * sb[p] - k * g[p][r][z]; x = (std::max(m + (s - r) * b[p] - c[p], 0ll) + k - 1) / k; if (x * k > m || f[p - 1][s - r][0] == inf) continue; Min(f[p][s][z], g[p][r][z] + x + f[p - 1][s - r][0]); val = x + ((s - r) * sb[p - 1] + k - 1) / k; if (val * k <= (s - r) * sb[p] + m) Min(g[p][s][z], g[p][r][z] + val); } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int _ = 200 + 7; const long long inf = 1e15; int n, T, K; long long a[_], b[_], c[_], sa[_], sb[_], d[_][_][2], g[_][_][2]; long long Ceil(long long x, long long y) { return x % y ? x / y + 1 : x / y; } void upd(long long &x, long long y) { x = min(x, y); } int main() { cin >> n >> T >> K; for (int i = 1; i <= n; ++i) { cin >> a[i] >> b[i] >> c[i]; sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } a[++n] = inf, c[n] = inf; sa[n] = sa[n - 1] + a[n]; for (int p = 1; p <= n; ++p) for (int s = 0; s <= T; ++s) for (int z = 0; z <= 1; ++z) d[p][s][z] = g[p][s][z] = inf; for (int p = 1; p <= n; ++p) for (int s = 0; s <= T; ++s) for (int z = 0; z <= 1; ++z) { if (z * a[p] + s * b[p] <= c[p] and d[p - 1][s][z] != inf) { upd(d[p][s][z], d[p - 1][s][z]); long long num = Ceil(z * sa[p - 1] + s * sb[p - 1], K); if (num * K <= z * sa[p] + s * sb[p]) upd(g[p][s][z], num); } for (int r = 0; r < s; ++r) if (g[p][r][z] != inf and d[p - 1][s - r][0] != inf) { long long m = z * sa[p] + r * sb[p] - K * g[p][r][z]; long long x = Ceil(max(0ll, m + (s - r) * b[p] - c[p]), K); if (K * x <= m) { upd(d[p][s][z], g[p][r][z] + x + d[p - 1][s - r][0]); long long num = Ceil((s - r) * sb[p - 1], K); if (num * K <= m - K * x + (s - r) * sb[p]) upd(g[p][s][z], g[p][r][z] + x + num); } } upd(d[p][s][z], g[p][s][z]); } cout << d[n][T][1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct station_t { long long a, b, c; }; struct solver_t { vector<station_t> st; int total_ns, total_nt, k; solver_t(const vector<station_t> &_stations, int _nt, int _k) : st(_stations), total_ns(st.size()), total_nt(_nt), k(_k) {} struct dp1_t { long long ntrain; long long total_people; }; struct dp2_t { long long ntrain; long long people_last; }; vector<vector<array<dp1_t, 2>>> dp1_memo; vector<vector<array<dp2_t, 2>>> dp2_memo; dp1_t solve_dp1(int ns, int nt, bool use_a) { dp1_t &res = dp1_memo[ns][nt][use_a]; if (res.ntrain != -1LL) return res; if (ns == 0) return res = {0LL, 0LL}; station_t &last_st = st[ns - 1]; if (nt == 0) { dp1_t sub_res = solve_dp1(ns - 1, 0, use_a); return res = {sub_res.ntrain, sub_res.total_people + (use_a ? last_st.a : last_st.b)}; } res = {LLONG_MAX, -1LL}; { long long final_value = (use_a ? last_st.a : last_st.b) + (long long)nt * last_st.b; if (final_value <= last_st.c) { dp1_t sub_res = solve_dp1(ns - 1, nt, use_a); if (sub_res.ntrain != LLONG_MAX) { dp1_t cand = {sub_res.ntrain, sub_res.total_people + final_value}; if (cand.ntrain < res.ntrain) res = cand; } } } for (int t = 0; t < nt; ++t) { dp2_t upper_res = solve_dp2(ns, t + 1, use_a); if (upper_res.ntrain == LLONG_MAX) continue; dp1_t lower_res = solve_dp1(ns - 1, nt - 1 - t, false); if (lower_res.ntrain == LLONG_MAX) continue; long long temp_value = upper_res.people_last + (long long)(nt - 1 - t) * last_st.b; long long exceeds = max(temp_value - last_st.c, 0LL); long long extra_train = (exceeds + (k - 1)) / k; long long max_extra_train = (upper_res.people_last - last_st.b) / k; if (extra_train > max_extra_train) continue; temp_value -= extra_train * k; assert(temp_value >= last_st.b); dp1_t cand = {upper_res.ntrain + lower_res.ntrain + extra_train, lower_res.total_people + temp_value}; if (cand.ntrain < res.ntrain) res = cand; } return res; } dp2_t solve_dp2(int ns, int nt, bool use_a) { assert(ns > 0 && nt > 0); dp2_t &res = dp2_memo[ns][nt][use_a]; if (res.ntrain != -1LL) return res; res = {LLONG_MAX, -1LL}; station_t &last_st = st[ns - 1]; { dp1_t sub_res = solve_dp1(ns - 1, nt - 1, use_a); if (sub_res.ntrain != LLONG_MAX) { long long temp_value = (use_a ? last_st.a : last_st.b) + (long long)(nt - 1) * last_st.b; if (temp_value <= last_st.c) { long long extra_train = (sub_res.total_people + k - 1) / k; long long residual = extra_train * k - sub_res.total_people; if (temp_value >= residual) { temp_value -= residual; long long exceeding = max((temp_value + last_st.b) - last_st.c, 0LL); long long extra_train_2 = (exceeding + k - 1) / k; temp_value -= extra_train_2 * k; if (temp_value >= 0) { temp_value += last_st.b; assert(temp_value <= last_st.c); dp2_t cand = {sub_res.ntrain + extra_train + extra_train_2, temp_value}; if (cand.ntrain < res.ntrain) res = cand; } } } } } for (int t = 0; t < nt - 1; ++t) { dp2_t upper_res = solve_dp2(ns, t + 1, use_a); if (upper_res.ntrain == LLONG_MAX) continue; dp1_t mid_res = solve_dp1(ns - 1, nt - t - 2, false); if (mid_res.ntrain == LLONG_MAX) continue; assert(upper_res.people_last >= last_st.b); long long max_extra_train_1 = (upper_res.people_last - last_st.b) / k; long long temp_value = upper_res.people_last + (long long)(nt - t - 2) * last_st.b; long long exceeding_1 = max(temp_value - last_st.c, 0LL); long long extra_train_1 = (exceeding_1 + k - 1) / k; if (extra_train_1 > max_extra_train_1) continue; temp_value -= extra_train_1 * k; long long extra_train_2 = (mid_res.total_people + k - 1) / k; long long residual = extra_train_2 * k - mid_res.total_people; if (temp_value < residual) continue; temp_value -= residual; long long exceeding_3 = max((temp_value + last_st.b) - last_st.c, 0LL); long long extra_train_3 = (exceeding_3 + k - 1) / k; temp_value -= extra_train_3 * k; if (temp_value < 0) continue; temp_value += last_st.b; assert(temp_value <= last_st.c); dp2_t cand = {upper_res.ntrain + mid_res.ntrain + extra_train_1 + extra_train_2 + extra_train_3, temp_value}; if (cand.ntrain < res.ntrain) res = cand; } return res; } long long solve() { dp1_memo.assign( total_ns + 1, vector<array<dp1_t, 2>>(total_nt + 1, array<dp1_t, 2>{{{-1LL, -1LL}, {-1LL, -1LL}}})); dp2_memo.assign( total_ns + 1, vector<array<dp2_t, 2>>(total_nt + 1, array<dp2_t, 2>{{{-1LL, -1LL}, {-1LL, -1LL}}})); return solve_dp1(total_ns, total_nt, true).ntrain; } }; int main() { int ns, nt, k; scanf("%d %d %d", &ns, &nt, &k); vector<station_t> stations(ns); for (int i = 0; i < ns; ++i) scanf("%lld %lld %lld", &stations[i].a, &stations[i].b, &stations[i].c); stations.push_back({(long long)(k - 1) * nt, 0LL, (long long)(k - 1) * nt}); ns = stations.size(); solver_t solver(stations, nt, k); printf("%lld\n", solver.solve()); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T1, typename T2> inline T1 max(T1 a, T2 b) { return a < b ? b : a; } template <typename T1, typename T2> inline T1 min(T1 a, T2 b) { return a < b ? a : b; } template <typename T1, typename T2> inline T1 gmax(T1 &a, T2 b) { return a = a < b ? b : a; } template <typename T1, typename T2> inline T1 gmin(T1 &a, T2 b) { return a = a < b ? a : b; } const char lf = '\n'; namespace ae86 { const int bufl = 1 << 15; char buf[bufl], *s = buf, *t = buf; inline int fetch() { if (s == t) { t = (s = buf) + fread(buf, 1, bufl, stdin); if (s == t) return EOF; } return *s++; } inline int ty() { int a = 0; int b = 1, c = fetch(); while (!isdigit(c)) b ^= c == '-', c = fetch(); while (isdigit(c)) a = a * 10 + c - 48, c = fetch(); return b ? a : -a; } } // namespace ae86 using ae86::ty; const int _ = 207, inf = 0x3f3f3f3f; const long long linf = 0x3f3f3f3f3f3f3f3f; int n, tar; long long per; long long bas[_] = {0}, dlt[_] = {0}, lim[_] = {0}; long long sbas[_] = {0}, sdlt[_] = {0}; inline long long hanging(long long i, long long tim, long long sta) { return sbas[i] * sta + sdlt[i] * tim; } long long f[_][_][2], g[_][_][2]; inline long long ceiling(long long x, long long b) { return (x + b - 1) / b; } int main() { ios::sync_with_stdio(0), cout.tie(nullptr); n = ty(), tar = ty(), per = ty(); for (int i = 1; i <= n; i++) bas[i] = ty(), dlt[i] = ty(), lim[i] = ty(); n++, bas[n] = dlt[n] = inf, lim[n] = linf; for (int i = 1; i <= n; i++) sbas[i] = sbas[i - 1] + bas[i], sdlt[i] = sdlt[i - 1] + dlt[i]; memset(f, 63, sizeof(f)), memset(g, 63, sizeof(g)); memset(f[0], 0, sizeof(f[0])), memset(g[0], 0, sizeof(g[0])); for (int i = 1; i <= n; i++) { for (int j = 0; j <= tar; j++) { for (int k = 0; k < 2; k++) { if (f[i - 1][j][k] < linf && bas[i] * k + dlt[i] * j <= lim[i]) { gmin(f[i][j][k], f[i - 1][j][k]); long long t = ceiling(hanging(i - 1, j, k), per); if (t * per <= hanging(i, j, k)) gmin(g[i][j][k], t); } for (int a = 0; a < j; a++) { long long now = g[i][a][k]; if (now > linf) continue; long long lef = hanging(i, a, k) - now * per; long long tran = ceiling(max(lef + dlt[i] * (j - a) - lim[i], 0), per); if (f[i - 1][j - a][0] < linf && tran * per <= lef) { gmin(f[i][j][k], now + tran + f[i - 1][j - a][0]); long long temp = ceiling(sdlt[i - 1] * (j - a), per); if (temp * per <= sdlt[i] * (j - a) + lef - tran * per) gmin(g[i][j][k], now + tran + temp); } } } } } cout << f[n][tar][1] << lf; return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { register int x = 0, f = 1; register char ch = getchar(); while (!isdigit(ch)) { if (ch == '-') f = 0; ch = getchar(); } while (isdigit(ch)) { x = x * 10 + (ch ^ '0'); ch = getchar(); } return f ? x : -x; } const int N = 2e2 + 5; const long long inf = 0x3f3f3f3f3f3f3f3f; int n, t, s, a[N], b[N]; long long c[N], A[N], B[N], f[N][N][2], g[N][N][2]; inline void chkmin(long long &x, long long y) { x = x > y ? y : x; } int main() { n = read(), t = read(), s = read(); for (int i = (1), _ed = (n); i <= _ed; ++i) A[i] = A[i - 1] + (a[i] = read()), B[i] = B[i - 1] + (b[i] = read()), c[i] = read(); ++n, a[n] = b[n] = 0x7fffffff, c[n] = inf; A[n] = A[n - 1] + a[n], B[n] = B[n - 1] + b[n]; memset(f, 63, sizeof f); memset(g, 63, sizeof g); memset(f[0], 0, sizeof f[0]); memset(g[0], 0, sizeof g[0]); for (int i = (1), _ed = (n); i <= _ed; ++i) for (int j = (0), _ed = (t); j <= _ed; ++j) for (int k = (0), _ed = (1); k <= _ed; ++k) { if (1ll * k * a[i] + 1ll * j * b[i] <= c[i] && f[i - 1][j][k] < inf) { chkmin(f[i][j][k], f[i - 1][j][k]); long long t = ceil((double)(k * A[i - 1] + j * B[i - 1]) / s); if (t * s <= k * A[i] + j * B[i]) chkmin(g[i][j][k], t); } for (int r = (0), _ed = (j - 1); r <= _ed; ++r) { if (g[i][r][k] >= inf) continue; long long res = (k * A[i] + r * B[i]) - s * g[i][r][k]; long long tim = ceil((double)max(res + 1ll * (j - r) * b[i] - c[i], 0ll) / s); if (tim * s <= res && f[i - 1][j - r][0] < inf) { chkmin(f[i][j][k], g[i][r][k] + tim + f[i - 1][j - r][0]); long long t = ceil((double)(j - r) * B[i - 1] / s); if (t * s <= res - tim * s + (j - r) * B[i]) chkmin(g[i][j][k], g[i][r][k] + tim + t); } } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops") #pragma GCC optimize("no-stack-protector,fast-math") using namespace std; const long long N = 3e2 + 10, OO = 1e18 + 7, T = 1e6 + 10, mod = 1e9 + 7, M = 1e9 + 7, P = 6151, SQ = 280, lg = 70; long long n, t, k; long long sa[N], sb[N]; long long a[N], b[N], c[N]; long long d[N][N][2], g[N][N][2]; int32_t main() { ios::sync_with_stdio(false), cin.tie(0), cout.tie(0); cin >> n >> t >> k; for (long long i = 1; i <= n; i++) cin >> a[i] >> b[i] >> c[i]; a[++n] = OO, b[n] = 0, c[n] = OO; for (long long i = 1; i <= n; i++) { sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } for (long long p = 1; p <= n; p++) { for (long long s = 0; s <= t; s++) { for (long long z = 0; z < 2; z++) { d[p][s][z] = g[p][s][z] = OO; if (d[p - 1][s][z] < OO && a[p] * z + b[p] * s <= c[p]) { d[p][s][z] = d[p - 1][s][z]; long long dt = (sa[p - 1] * z + sb[p - 1] * s + k - 1) / k; if (dt * k <= sa[p] * z + sb[p] * s) g[p][s][z] = dt; } for (long long r = 0; r < s; r++) { if (g[p][r][z] < OO) { long long m = sa[p] * z + sb[p] * r - g[p][r][z] * k; long long x = (max(m + (s - r) * b[p] - c[p], 0ll) + k - 1) / k; m -= x * k; if (d[p - 1][s - r][0] < OO && m >= 0) { d[p][s][z] = min(d[p][s][z], g[p][r][z] + x + d[p - 1][s - r][0]); long long dt = (sb[p - 1] * (s - r) + k - 1) / k; if (dt * k <= m + (s - r) * sb[p]) g[p][s][z] = min(g[p][s][z], g[p][r][z] + x + dt); } } } } } } cout << d[n][t][1] << endl; return 0; }
#include <bits/stdc++.h> using ll = long long; ll F[205][205][2], G[205][205][2]; ll a[205], b[205], c[205], sum_a[205], sum_b[205]; int main() { int n, m, k; scanf("%d%d%d", &n, &m, &k); for (int i = 1; i <= n; i++) scanf("%lld%lld%lld", a + i, b + i, c + i); n++; a[n] = c[n] = 1e18; for (int i = 1; i <= n; i++) { sum_a[i] = sum_a[i - 1] + a[i]; sum_b[i] = sum_b[i - 1] + b[i]; } memset(F, 0x3f, sizeof(F)); memset(G, 0x3f, sizeof(G)); memset(F[0], 0, sizeof(F[0])); memset(G[0], 0, sizeof(G[0])); for (int i = 1; i <= n; i++) { for (int j = 0; j <= m; j++) { for (int x = 0; x < 2; x++) { if (x * a[i] + j * b[i] <= c[i] && F[i - 1][j][x] < 1e18) { F[i][j][x] = F[i - 1][j][x]; ll val = (x * sum_a[i - 1] + j * sum_b[i - 1] + k - 1) / k; if (val * k <= x * sum_a[i] + j * sum_b[i]) G[i][j][x] = val; } for (int lst = 0; lst < j; lst++) { if (G[i][lst][x] >= 1e18) continue; ll val = x * sum_a[i] + lst * sum_b[i] - G[i][lst][x] * k; ll w = (std::max<ll>(val + (j - lst) * b[i] - c[i], 0) + k - 1) / k; if (w * k > val || F[i - 1][j - lst][0] >= 1e18) continue; F[i][j][x] = std::min(F[i][j][x], G[i][lst][x] + F[i - 1][j - lst][0] + w); ll t = ((j - lst) * sum_b[i - 1] + k - 1) / k; if (t * k <= (j - lst) * sum_b[i] + val - w * k) G[i][j][x] = std::min(G[i][j][x], G[i][lst][x] + w + t); } } } } printf("%lld\n", F[n][m][1]); return 0; }
#include <bits/stdc++.h> using namespace std; const long long inf = 1e15; long long n, t, k; long long a[305], b[305], c[305]; long long sa[305], sb[305], sc[305]; long long d[305][305][2], g[305][305][2]; int main() { scanf("%lld%lld%lld", &n, &t, &k); for (int i = 1; i <= n; ++i) scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); ++n; a[n] = c[n] = inf; b[n] = 0; for (int i = 1; i <= n; ++i) sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i], sc[i] = sc[i - 1] + c[i]; for (int i = 0; i <= n + 1; ++i) for (int j = 0; j <= t; ++j) for (int p = 0; p <= 1; ++p) d[i][j][p] = g[i][j][p] = inf; for (int p = 0; p <= n + 1; ++p) for (int s = 0; s <= t; ++s) for (int z = 0; z <= 1; ++z) { if (d[p - 1][s][z] != inf && z * a[p] + b[p] * s <= c[p]) { long long val = (z * sa[p - 1] + s * sb[p - 1] + k - 1) / k; d[p][s][z] = min(d[p][s][z], d[p - 1][s][z]); if (val * k <= z * sa[p] + s * sb[p]) g[p][s][z] = min(g[p][s][z], val); } for (int r = 0; r < s; ++r) { long long m = z * sa[p] + r * sb[p] - k * g[p][r][z]; long long x = (max(m + (s - r) * b[p] - c[p], 0ll) + k - 1) / k; if (g[p][r][z] == inf || x * k > m || d[p - 1][s - r][0] == inf) continue; long long Val = ((s - r) * sb[p - 1] + k - 1) / k; d[p][s][z] = min(d[p][s][z], g[p][r][z] + x + d[p - 1][s - r][0]); g[p][s][z] = min(g[p][s][z], g[p][r][z] + x + Val); } } printf("%lld\n", d[n + 1][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; int n, t; long long K; long long a[210], b[210], c[210]; long long sa[210], sb[210]; long long f[210][210][2], g[210][210][2]; inline void upd(long long &a, long long b) { a > b ? a = b : 0; } int main() { scanf("%d%d%lld", &n, &t, &K); for (int i = 1; i <= n; ++i) { scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } c[n + 1] = LLONG_MAX; a[n + 1] = INT_MAX, b[n + 1] = 0; sa[n + 1] = sa[n] + INT_MAX; sb[n + 1] = sb[n] + INT_MAX; ++n; for (int j = 0; j <= t; ++j) { f[0][j][0] = f[0][j][1] = 0; g[0][j][0] = g[0][j][1] = 0; } for (int i = 1; i <= n; ++i) { for (int j = 0; j <= t; ++j) for (int k = 0; k < 2; ++k) { g[i][j][k] = f[i][j][k] = LLONG_MAX; if (a[i] * k + b[i] * j <= c[i] && f[i - 1][j][k] < LLONG_MAX) { upd(f[i][j][k], f[i - 1][j][k]); long long L = sa[i - 1] * k + sb[i - 1] * j; if ((L - 1 + K) / K * K <= sa[i] * k + sb[i] * j) upd(g[i][j][k], (L - 1 + K) / K); } for (int r = 0; r < j; ++r) { long long tmp = g[i][r][k]; if (tmp == LLONG_MAX) continue; long long rest = sa[i] * k + sb[i] * r - tmp * K, need = (max(rest + b[i] * (j - r) - c[i], 0ll) - 1 + K) / K; if (need * K <= rest && f[i - 1][j - r][0] < LLONG_MAX) { upd(f[i][j][k], tmp + need + f[i - 1][j - r][0]); long long L = sb[i - 1] * (j - r); if ((L - 1 + K) / K * K <= sb[i] * (j - r) + rest - need * K) upd(g[i][j][k], tmp + need + (L - 1 + K) / K); } } } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> const long long inf = 1e18; using namespace std; int n, t, K, a[210], b[210]; long long pa[210], pb[210], c[210], f[210][210][2], g[210][210][2], tmp, nw, nd; int main() { scanf("%d%d%d", &n, &t, &K); for (int i = 1; i <= n; i++) scanf("%d%d%lld", &a[i], &b[i], &c[i]); c[++n] = 1e18, a[n] = b[n] = 2e9; for (int i = 1; i <= n; i++) pa[i] = pa[i - 1] + a[i], pb[i] = pb[i - 1] + b[i]; for (int i = 1; i <= n; i++) for (int j = 0; j <= t; j++) f[i][j][0] = f[i][j][1] = g[i][j][0] = g[i][j][1] = inf; for (int i = 1; i <= n; i++) { for (int j = 0; j <= t; j++) { for (int k = 0; k < 2; k++) { if (k * a[i] + 1ll * j * b[i] <= c[i] && f[i - 1][j][k] < inf) { f[i][j][k] = min(f[i][j][k], f[i - 1][j][k]); tmp = (k * pa[i - 1] + j * pb[i - 1] + K - 1) / K; if (tmp * K <= k * pa[i] + j * pb[i]) g[i][j][k] = min(g[i][j][k], tmp); } for (int r = 0; r < j; r++) if (g[i][r][k] < inf) { nw = k * pa[i] + r * pb[i] - g[i][r][k] * K; nd = (max(0ll, nw + 1ll * (j - r) * b[i] - c[i]) + K - 1) / K; if (nd * K <= nw && f[i - 1][j - r][0] < inf) { f[i][j][k] = min(f[i][j][k], f[i - 1][j - r][0] + g[i][r][k] + nd); tmp = ((j - r) * pb[i - 1] + K - 1) / K; if (tmp * K <= (j - r) * pb[i] + nw - nd * K) g[i][j][k] = min(g[i][j][k], g[i][r][k] + nd + tmp); } } } } } printf("%lld\n", f[n][t][1]); }
#include <bits/stdc++.h> using namespace std; const long long maxn = 210; const long long INF = 1e18; long long n, t, k, a[maxn], b[maxn], c[maxn], sa[maxn], sb[maxn], f[maxn][maxn][2], g[maxn][maxn][2]; signed main() { scanf("%lld%lld%lld", &n, &t, &k); for (long long i = (1), _end_ = (n); i <= _end_; ++i) scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); ++n; a[n] = c[n] = INF; for (long long i = (1), _end_ = (n); i <= _end_; ++i) { sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } for (long long i = (1), _end_ = (n); i <= _end_; ++i) for (long long j = (0), _end_ = (t); j <= _end_; ++j) for (long long o = (0), _end_ = (1); o <= _end_; ++o) f[i][j][o] = g[i][j][o] = INF; for (long long i = (1), _end_ = (n); i <= _end_; ++i) for (long long j = (0), _end_ = (t); j <= _end_; ++j) for (long long o = (0), _end_ = (1); o <= _end_; ++o) { if (j * b[i] + o * a[i] <= c[i] && f[i - 1][j][o] != INF) { f[i][j][o] = min(f[i][j][o], f[i - 1][j][o]); long long x = (sb[i - 1] * j + sa[i - 1] * o + k - 1) / k; if (x * k <= sb[i] * j + sa[i] * o) g[i][j][o] = min(g[i][j][o], x); } for (long long r = (0), _end_ = (j - 1); r <= _end_; ++r) { if (g[i][r][o] == INF) continue; long long num = sa[i] * o + sb[i] * r - k * g[i][r][o]; long long x = max(0ll, (num + (j - r) * b[i] - c[i] + k - 1) / k); if (k * x > num || f[i - 1][j - r][0] == INF) continue; f[i][j][o] = min(f[i][j][o], g[i][r][o] + x + f[i - 1][j - r][0]); long long y = (sb[i - 1] * (j - r) + k - 1) / k; if (k * y <= (j - r) * sb[i] + num - k * x) g[i][j][o] = min(g[i][j][o], g[i][r][o] + x + y); } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 234; const long long inf = 1ll << 60; long long a[N], b[N], c[N], sa[N], sb[N], d[N][N][N], g[N][N][N]; int n, t, k; int main() { cin >> n >> t >> k; for (int i = 1; i <= n; ++i) { cin >> a[i] >> b[i] >> c[i]; } ++n; a[n] = c[n] = inf; for (int i = 1; i <= n; ++i) { sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } for (int p = 1; p <= n; ++p) { for (int s = 0; s <= t; ++s) { for (int z = 0; z < 2; ++z) { d[p][s][z] = g[p][s][z] = inf; if (s * b[p] + z * a[p] <= c[p] && d[p - 1][s][z] < inf) { d[p][s][z] = d[p - 1][s][z]; long long value = (z * sa[p - 1] + s * sb[p - 1] + k - 1) / k; if (value * k <= z * sa[p] + s * sb[p]) { g[p][s][z] = value; } } for (int r = 0; r < s; ++r) { if (g[p][r][z] < inf) { long long m = z * sa[p] + r * sb[p] - k * g[p][r][z]; long long x = (max(m + (s - r) * b[p] - c[p], 0ll) + k - 1) / k; if (x * k <= m && d[p - 1][s - r][0] < inf) { d[p][s][z] = min(d[p][s][z], g[p][r][z] + x + d[p - 1][s - r][0]); long long value = ((s - r) * sb[p - 1] + k - 1) / k; if (value * k <= (s - r) * sb[p] + m - x * k) { g[p][s][z] = min(g[p][s][z], g[p][r][z] + x + value); } } } } } } } printf("%lld\n", d[n][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; int n, t, k; long long a[666666], b[666666], c[666666], sa[666666], sb[666666], sc[666666]; long long d[235][235][235], g[235][235][235]; inline void cmin(long long& a, long long b) { if (a > b) a = b; } int main() { cin >> n >> t >> k; ++n; const long long inf = 1e18; for (int i = 1; i <= n; ++i) { if (i == n) a[i] = c[i] = inf; else cin >> a[i] >> b[i] >> c[i]; sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; sc[i] = sc[i - 1] + c[i]; } for (int p = 1; p <= n; ++p) for (int s = 0; s <= t; ++s) for (int z = 0; z < 2; ++z) { d[p][s][z] = g[p][s][z] = inf; if (s * b[p] + z * a[p] <= c[p] && d[p - 1][s][z] < inf) { d[p][s][z] = d[p - 1][s][z]; long long v = (z * sa[p - 1] + s * sb[p - 1] + k - 1) / k; if (v * k <= z * sa[p] + s * sb[p]) g[p][s][z] = v; } for (int r = 0; r < s; ++r) if (g[p][r][z] < inf) { long long m = z * sa[p] + r * sb[p] - k * g[p][r][z]; long long x = (max(m + (s - r) * b[p] - c[p], 0LL) + k - 1) / k; if (x * k <= m && d[p - 1][s - r][0] < inf) { cmin(d[p][s][z], g[p][r][z] + x + d[p - 1][s - r][0]); long long v = ((s - r) * sb[p - 1] + k - 1) / k; if (v * k <= (s - r) * sb[p] + m - x * k) cmin(g[p][s][z], g[p][r][z] + x + v); } } } cout << d[n][t][1] << "\n"; }
#include <bits/stdc++.h> using namespace std; int n, t, K; long long a[200 + 5], b[200 + 5], c[200 + 5]; long long suma[200 + 5], sumb[200 + 5]; long long f[200 + 5][200 + 5][2], g[200 + 5][200 + 5][2]; int main() { scanf("%d %d %d", &n, &t, &K); for (int i = 1; i <= n; i++) scanf("%lld %lld %lld", &a[i], &b[i], &c[i]); n++; a[n] = b[n] = (1ll << 31); c[n] = 0x3f3f3f3f3f3f3f3f; for (int i = 1; i <= n; i++) { suma[i] = suma[i - 1] + a[i]; sumb[i] = sumb[i - 1] + b[i]; } memset(f, 0x3f, sizeof(f)); memset(g, 0x3f, sizeof(g)); for (int j = 0; j <= t; j++) f[0][j][0] = f[0][j][1] = g[0][j][0] = g[0][j][1] = 0; for (int i = 1; i <= n; i++) { for (int j = 0; j <= t; j++) { for (int u = 0; u <= 1; u++) { if (u * a[i] + j * b[i] <= c[i] && f[i - 1][j][u] != 0x3f3f3f3f3f3f3f3f) { f[i][j][u] = min(f[i][j][u], f[i - 1][j][u]); long long num = (u * suma[i - 1] + j * sumb[i - 1] + K - 1) / K; if (K * num <= u * suma[i] + j * sumb[i]) g[i][j][u] = min(g[i][j][u], num); } for (int r = 0; r < j; r++) { if (g[i][r][u] != 0x3f3f3f3f3f3f3f3f) { long long rem = u * suma[i] + r * sumb[i] - K * g[i][r][u]; long long need = (max(rem + (j - r) * b[i] - c[i], 0ll) + K - 1) / K; if (need * K <= rem && f[i - 1][j - r][0] != 0x3f3f3f3f3f3f3f3f) { f[i][j][u] = min(f[i][j][u], g[i][r][u] + need + f[i - 1][j - r][0]); long long num = ((j - r) * sumb[i - 1] + K - 1) / K; if (num * K <= (j - r) * sumb[i] + (rem - need * K)) g[i][j][u] = min(g[i][j][u], g[i][r][u] + need + num); } } } } } } printf("%lld\n", f[n][t][1]); }
#include <bits/stdc++.h> using namespace std; template <typename T> void chkmin(T &x, T y) { if (y < x) x = y; } int read() { int X = 0, w = 1; char c = getchar(); while (c < '0' || c > '9') { if (c == '-') w = -1; c = getchar(); } while (c >= '0' && c <= '9') X = X * 10 + c - '0', c = getchar(); return X * w; } const int N = 200 + 10; const long long inf = 0x3f3f3f3f3f3f3f3f; int n, t, s; long long a[N], b[N], c[N], sa[N], sb[N]; long long f[N][N][2], g[N][N][2]; int main() { n = read(), t = read(), s = read(); for (int i = 1; i <= n; ++i) a[i] = read(), b[i] = read(), c[i] = read(); ++n, a[n] = b[n] = 2e9, c[n] = inf; for (int i = 1; i <= n; ++i) sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; memset(f, 0x3f, sizeof(f)), memset(g, 0x3f, sizeof(g)); for (int i = 0; i <= t; ++i) f[0][i][0] = f[0][i][1] = g[0][i][0] = g[0][i][1] = 0; for (int i = 1; i <= n; ++i) for (int j = 0; j <= t; ++j) for (int k = 0; k <= 1; ++k) { if (k * a[i] + j * b[i] <= c[i] && f[i - 1][j][k] != inf) { chkmin(f[i][j][k], f[i - 1][j][k]); long long cnt = (k * sa[i - 1] + j * sb[i - 1] + s - 1) / s; if (cnt * s <= k * sa[i] + j * sb[i]) chkmin(g[i][j][k], cnt); } for (int p = 0; p < j; ++p) { if (g[i][p][k] == inf) continue; long long res = k * sa[i] + p * sb[i] - s * g[i][p][k]; long long need = (max(res + (j - p) * b[i] - c[i], 0ll) + s - 1) / s; if (need * s <= res && f[i - 1][j - p][0] != inf) { chkmin(f[i][j][k], g[i][p][k] + need + f[i - 1][j - p][0]); long long cnt = ((j - p) * sb[i - 1] + s - 1) / s; if (cnt * s <= (j - p) * sb[i] + res - need * s) chkmin(g[i][j][k], g[i][p][k] + need + cnt); } } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; const long long inf = 1e18; const int N = 210; const int mod = 0; int gi() { int x = 0, o = 1; char ch = getchar(); while ((ch < '0' || ch > '9') && ch != '-') ch = getchar(); if (ch == '-') o = -1, ch = getchar(); while (ch >= '0' && ch <= '9') x = x * 10 + ch - '0', ch = getchar(); return x * o; } template <typename T> bool chkmax(T &a, T b) { return a < b ? a = b, 1 : 0; }; template <typename T> bool chkmin(T &a, T b) { return a > b ? a = b, 1 : 0; }; int add(int a, int b) { return a + b >= mod ? a + b - mod : a + b; } int sub(int a, int b) { return a - b < 0 ? a - b + mod : a - b; } void inc(int &a, int b) { a = (a + b >= mod ? a + b - mod : a + b); } void dec(int &a, int b) { a = (a - b < 0 ? a - b + mod : a - b); } int n, t; long long k, a[N], b[N], c[N], sa[N], sb[N], d[N][N][2], g[N][N][2]; int main() { n = gi(), t = gi(), k = gi(); for (int i = 1; i <= n; i++) a[i] = gi(), b[i] = gi(), c[i] = gi(); ++n, a[n] = c[n] = inf; for (int i = 1; i <= n; i++) sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; for (int p = 1; p <= n; p++) for (int s = 0; s <= t; s++) for (int z = 0; z < 2; z++) { d[p][s][z] = g[p][s][z] = inf; if (z * a[p] + s * b[p] <= c[p] && d[p - 1][s][z] < inf) { d[p][s][z] = d[p - 1][s][z]; long long val = (z * sa[p - 1] + s * sb[p - 1] + k - 1) / k; if (val * k <= z * sa[p] + s * sb[p]) g[p][s][z] = val; } for (int r = 0; r < s; r++) if (g[p][r][z] < inf) { long long m = z * sa[p] + r * sb[p] - k * g[p][r][z]; long long x = (max(m + (s - r) * b[p] - c[p], 0ll) + k - 1) / k; if (x * k <= m && d[p - 1][s - r][0] < inf) { chkmin(d[p][s][z], g[p][r][z] + x + d[p - 1][s - r][0]); long long val = (sb[p - 1] * (s - r) + k - 1) / k; if (val * k <= sb[p] * (s - r) + m - x * k) chkmin(g[p][s][z], g[p][r][z] + x + val); } } } cout << d[n][t][1]; return 0; }
#include <bits/stdc++.h> using namespace std; char buf[25]; const long long inf = 0x3f3f3f3f3f3f3f3f; const int maxn = 210; long long f[maxn][maxn][2], g[maxn][maxn][2]; long long a[maxn], b[maxn], c[maxn], s1[maxn], s2[maxn]; long long n, t, k; long long read() { long long x = 0, f = 0; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = 1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = (x << 1) + (x << 3) + (ch ^ 48); ch = getchar(); } return f ? -x : x; } void write(long long x) { if (!x) { putchar('0'); return; } if (x < 0) { putchar('-'); x = -x; } int cnt = 0; while (x) { buf[++cnt] = '0' + x % 10; x /= 10; } for (int i = cnt; i >= 1; --i) putchar(buf[i]); } long long Div(long long x, long long y) { return x % y == 0 ? x / y : x / y + 1; } int main() { n = read(); t = read(); k = read(); for (int i = 1; i <= n; ++i) { a[i] = read(); b[i] = read(); c[i] = read(); } ++n; a[n] = b[n] = INT_MAX; c[n] = inf; for (int i = 1; i <= n; ++i) { s1[i] = s1[i - 1] + a[i]; s2[i] = s2[i - 1] + b[i]; } memset(f, 63, sizeof(f)); memset(g, 63, sizeof(g)); for (int i = 0; i <= t; ++i) f[0][i][0] = f[0][i][1] = g[0][i][0] = g[0][i][1] = 0; for (int i = 1; i <= n; ++i) for (int j = 0; j <= t; ++j) for (int l = 0; l <= 1; ++l) { if (l * a[i] + j * b[i] <= c[i] && f[i - 1][j][l] < inf) { f[i][j][l] = f[i - 1][j][l]; long long L = l * s1[i - 1] + j * s2[i - 1]; if (Div(L, k) * k <= l * s1[i] + j * s2[i]) g[i][j][l] = Div(L, k); } for (int r = 0; r <= j - 1; ++r) if (g[i][r][l] < inf) { long long rem = l * s1[i] + r * s2[i] - k * g[i][r][l], need = Div(max(rem + (j - r) * b[i] - c[i], 0ll), k); if (rem < 0) continue; if (need * k <= rem && f[i - 1][j - r][0] < inf) { f[i][j][l] = min(f[i][j][l], g[i][r][l] + need + f[i - 1][j - r][0]); long long L = (j - r) * s2[i - 1]; if (Div(L, k) * k <= (j - r) * s2[i] + (rem - need * k)) g[i][j][l] = min(g[i][j][l], g[i][r][l] + need + Div(L, k)); } } } write(f[n][t][1]); putchar('\n'); return 0; }
#include <bits/stdc++.h> using namespace std; inline long long read() { long long x = 0, f = 1; char c = getchar(); while (!isdigit(c)) { if (c == '-') f = -1; c = getchar(); } while (isdigit(c)) { x = (x << 3) + (x << 1) + (c ^ 48); c = getchar(); } return f == 1 ? x : ~x + 1; } const long long inf = 1e18; long long n, t, K; long long a[210], b[210], c[210]; long long sa[210], sb[210]; long long f[210][210][2], g[210][210][2]; void chkmin(long long &x, long long y) { x = (x <= y ? x : y); } signed main() { n = read(), t = read(), K = read(); ++n; for (long long i = 1; i <= n; ++i) { for (long long j = 0; j <= t; ++j) { for (long long k = 0; k <= 1; ++k) { f[i][j][k] = g[i][j][k] = inf; } } } for (long long i = 1; i <= n - 1; ++i) { a[i] = read(), b[i] = read(), c[i] = read(); sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; } a[n] = c[n] = inf; b[n] = 0; sa[n] = sa[n - 1] + a[n]; sb[n] = sb[n - 1]; for (long long i = 1; i <= n; ++i) { for (long long j = 0; j <= t; ++j) { for (long long k = 0; k <= 1; ++k) { if (f[i - 1][j][k] != inf && a[i] * k + b[i] * j <= c[i]) { f[i][j][k] = f[i - 1][j][k]; long long cnt = sa[i - 1] * k + sb[i - 1] * j - f[i - 1][j][k] * K; long long cost = (cnt + K - 1) / K; if (cost * K <= cnt + a[i] * k + b[i] * j) { g[i][j][k] = f[i - 1][j][k] + cost; } } for (long long l = 0; l < j; ++l) { if (g[i][l][k] != inf && f[i - 1][j - l][0] != inf) { long long m = sa[i] * k + sb[i] * l - g[i][l][k] * K; long long cst = max(0ll, (m + b[i] * (j - l) - c[i] + K - 1) / K); if (cst * K <= m) { chkmin(f[i][j][k], g[i][l][k] + cst + f[i - 1][j - l][0]); long long tmp = (sb[i - 1] * (j - l) - f[i - 1][j - l][0] * K + K - 1) / K; if (tmp * K - sb[i - 1] * (j - l) + f[i - 1][j - l][0] * K <= m + b[i] * (j - l) - cst * K) { chkmin(g[i][j][k], g[i][l][k] + cst + f[i - 1][j - l][0] + tmp); } } } } } } } printf("%lld\n", f[n][t][1]); }
#include <bits/stdc++.h> const int Maxn = 200; const int Maxt = 200; const long long Inf_ll = 0x3f3f3f3f3f3f3f3fll; int n, t, k; int a[Maxn + 5], b[Maxn + 5], c[Maxn + 5]; long long f[Maxn + 5][Maxt + 5][2], g[Maxn + 5][Maxt + 5][2]; int main() { scanf("%d%d%d", &n, &t, &k); for (int i = 1; i <= n; i++) { scanf("%d%d%d", &a[i], &b[i], &c[i]); } long long sum_a = 0, sum_b = 0; for (int i = 1; i <= n + 1; i++) { sum_a += a[i], sum_b += b[i]; f[i][0][0] = sum_b; g[i][0][0] = b[i]; f[i][0][1] = sum_a; g[i][0][1] = a[i]; for (int j = 1; j <= t; j++) { for (int t_y = 0; t_y < 2; t_y++) { f[i][j][t_y] = g[i][j][t_y] = -Inf_ll; long long tmp = t_y ? a[i] + 1ll * b[i] * j : 1ll * b[i] * (j + 1); if (tmp <= c[i] && g[i - 1][j][t_y] >= 0) { f[i][j][t_y] = f[i - 1][j][t_y] + tmp; g[i][j][t_y] = tmp; } for (int l = 1; l <= j; l++) { int r = t_y ? (sum_a + sum_b * (l - 1)) % k : sum_b * l % k; if (i > n || (g[i][l - 1][t_y] >= r && r + 1ll * b[i] * (j - l + 1) <= c[i])) { long long x = std::min(c[i] - 1ll * b[i] * (j - l + 1), g[i][l - 1][t_y]) - r; if (x < 0 && x % k) { x = x / k - 1; } else { x = x / k; } x = x * k + r + b[i] * (j - l + 1); if (g[i - 1][j - l][0] >= 0) { f[i][j][t_y] = std::max(f[i][j][t_y], x + f[i - 1][j - l][0]); g[i][j][t_y] = std::max(g[i][j][t_y], x); } } } } } } long long ans = (sum_a + sum_b * t - f[n + 1][t][1]) / k; printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; long long gcd(long long a, long long b) { return b == 0 ? a : gcd(b, a % b); } const int MAXSTAT = 200 + 1; const int MAXT = 200; int nstat, tend; long long cap; long long init[MAXSTAT], delta[MAXSTAT], lim[MAXSTAT]; long long suminit[MAXSTAT + 1], sumdelta[MAXSTAT + 1]; long long dp[MAXSTAT + 1][MAXT + 1][2][2]; void upd(long long &a, const long long b) { if (b < a) a = b; } long long solve() { init[nstat] = delta[nstat] = cap, lim[nstat] = (tend + 1) * cap, ++nstat; suminit[0] = 0; for (int i = (0); i < (nstat); ++i) suminit[i + 1] = suminit[i] + init[i]; sumdelta[0] = 0; for (int i = (0); i < (nstat); ++i) sumdelta[i + 1] = sumdelta[i] + delta[i]; for (int i = (0); i <= (nstat); ++i) for (int j = (0); j <= (tend); ++j) for (int x = (0); x < (2); ++x) for (int y = (0); y < (2); ++y) dp[i][j][x][y] = LLONG_MAX; for (int j = (0); j <= (tend); ++j) for (int y = (0); y < (2); ++y) dp[0][j][0][y] = 0; for (int i = (0); i <= (nstat); ++i) for (int y = (0); y < (2); ++y) dp[i][0][0][y] = 0; for (int i = (1); i <= (nstat); ++i) for (int j = (1); j <= (tend); ++j) for (int y = (0); y < (2); ++y) { if (y * init[i - 1] + (j - 1) * delta[i - 1] <= lim[i - 1] && dp[i - 1][j - 1][0][y] != LLONG_MAX) { long long have = y * init[i - 1] + (j - 1) * delta[i - 1], cost = 0; assert(have <= lim[i - 1]); long long rembefore = y * suminit[i - 1] + (j - 1) * sumdelta[i - 1] - dp[i - 1][j - 1][0][y] * cap; assert(rembefore >= 0); cost += rembefore / cap + 1; long long now = cap * cost - rembefore; assert(now > 0 && now <= cap); if (now <= have) upd(dp[i][j][1][y], dp[i - 1][j - 1][0][y] + cost); } for (int jj = (1); jj <= (j - 1); ++jj) if (dp[i][jj][1][y] != LLONG_MAX && dp[i - 1][j - jj][0][0] != LLONG_MAX) { long long have = y * suminit[i] + (jj - 1) * sumdelta[i] - dp[i][jj][1][y] * cap; assert(have >= 0 && have <= lim[i - 1]); long long dhave = (j - jj) * delta[i - 1], cost1 = 0; if (have + dhave > lim[i - 1]) { cost1 = (have + dhave - lim[i - 1] + cap - 1) / cap; if (cost1 * cap > have) continue; have -= cost1 * cap; } have += dhave; assert(have <= lim[i - 1]); long long rembefore = (j - jj) * sumdelta[i - 1] - dp[i - 1][j - jj][0][0] * cap; assert(rembefore >= 0); long long cost2 = rembefore / cap + 1; long long now = cap * cost2 - rembefore; assert(now > 0 && now <= cap); if (now <= have) upd(dp[i][j][1][y], dp[i][jj][1][y] + dp[i - 1][j - jj][0][0] + cost1 + cost2); } if (y * init[i - 1] + j * delta[i - 1] <= lim[i - 1] && dp[i - 1][j][0][y] != LLONG_MAX) { upd(dp[i][j][0][y], dp[i - 1][j][0][y]); } for (int jj = (y == 0 ? 2 : 1); jj <= (j); ++jj) if (dp[i][jj][1][y] != LLONG_MAX && dp[i][j - jj + 1][0][0] != LLONG_MAX) { long long have = y * suminit[i] + (jj - 1) * sumdelta[i] - dp[i][jj][1][y] * cap, cost = 0; assert(have >= 0 && have <= lim[i - 1]); long long dhave = (j - jj + 1) * delta[i - 1]; if (have + dhave > lim[i - 1]) { long long dcost = (have + dhave - lim[i - 1] + cap - 1) / cap; if (dcost * cap > have) continue; have -= dcost * cap, cost += dcost; } have += dhave; assert(have <= lim[i - 1]); upd(dp[i][j][0][y], dp[i][jj][1][y] + dp[i][j - jj + 1][0][0] + cost); } } return dp[nstat][tend][0][1]; } void run() { scanf("%d%d%lld", &nstat, &tend, &cap); for (int i = (0); i < (nstat); ++i) scanf("%lld%lld%lld", &init[i], &delta[i], &lim[i]); long long ans = solve(); printf("%lld\n", ans == LLONG_MAX ? -1 : ans); } int myrand() { return rand() % 1000 * 1000000 + rand() % 1000 * 1000 + rand() % 1001; } void stress() { for (int rep = (0); rep < (1000); ++rep) { nstat = 200, tend = 200, cap = myrand(); if (cap == 0) ++cap; for (int i = (0); i < (nstat); ++i) { init[i] = myrand(), delta[i] = myrand(), lim[i] = myrand(); if (init[i] > lim[i]) swap(init[i], lim[i]); if (delta[i] > lim[i]) swap(delta[i], lim[i]); } solve(); printf("."); } } int main() { run(); return 0; }
#include <bits/stdc++.h> using namespace std; const long long inf = 2e15; int n, t, k, a[205], b[205]; long long sa[205], sb[205], c[205], f[205][205][2], g[205][205][2]; int read() { int x = 0, fl = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') fl = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = (x << 1) + (x << 3) + ch - '0'; ch = getchar(); } return x * fl; } long long up(long long x) { return (long long)(x + k - 1) / k; } int main() { n = read(), t = read(), k = read(); for (int i = 1; i <= n; i++) a[i] = read(), b[i] = read(), c[i] = read(); n++, a[n] = 2e9, b[n] = 2e9, c[n] = inf; for (int i = 1; i <= n; i++) sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; for (int i = 1; i <= n; i++) { for (int j = 0; j <= t; j++) { for (int o = 0; o <= 1; o++) { f[i][j][o] = g[i][j][o] = inf; if (1ll * o * a[i] + 1ll * j * b[i] <= c[i] && f[i - 1][j][o] < inf) { f[i][j][o] = min(f[i][j][o], f[i - 1][j][o]); long long p = up(o * sa[i - 1] + j * sb[i - 1]); if (1ll * p * k <= 1ll * o * sa[i] + 1ll * j * sb[i]) g[i][j][o] = min(g[i][j][o], p); } for (int r = 0; r <= j - 1; r++) { long long p = g[i][r][o], rst = 1ll * o * sa[i] + 1ll * r * sb[i] - k * p; if (p < inf) { long long nd = up(max(0ll, rst + 1ll * (j - r) * b[i] - c[i])); if (1ll * nd * k <= rst && f[i - 1][j - r][0] < inf) { f[i][j][o] = min(f[i][j][o], p + nd + f[i - 1][j - r][0]); long long q = up(1ll * (j - r) * sb[i - 1]); if (1ll * q * k <= 1ll * (j - r) * sb[i] + (rst - 1ll * nd * k)) g[i][j][o] = min(g[i][j][o], p + nd + q); } } } } } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int mxn = 225; const long long INF = 1e17; long long n, m, i, j, t, k, s, K, f[mxn][mxn][2], g[mxn][mxn][2], a[mxn], b[mxn], c[mxn], qza[mxn], qzb[mxn]; int main() { scanf("%lld%lld%lld", &n, &m, &K); memset(f, 0x3f3f3f3f, sizeof(f)); memset(g, 0x3f3f3f3f, sizeof(g)); memset(f, 0, sizeof(f[0])); memset(g, 0, sizeof(g[0])); for (i = 1; i <= n; ++i) scanf("%lld%lld%lld", &a[i], &b[i], &c[i]), qza[i] = qza[i - 1] + a[i], qzb[i] = qzb[i - 1] + b[i]; ++n; a[n] = 1e12; b[n] = 1e12; c[n] = 2e18; qza[n] = qza[n - 1] + a[n]; qzb[n] = qzb[n - 1] + b[n]; for (i = 1; i <= n; ++i) for (j = 0; j <= m; ++j) { long long tmp; if (b[i] * 1ll * j <= c[i] && f[i - 1][j][0] < INF) { f[i][j][0] = min(f[i][j][0], f[i - 1][j][0]); tmp = (qzb[i - 1] * j + K - 1) / K; if (tmp * K <= qzb[i] * j) g[i][j][0] = min(g[i][j][0], tmp); } if (b[i] * 1ll * j + a[i] <= c[i] && f[i - 1][j][1] < INF) { f[i][j][1] = min(f[i][j][1], f[i - 1][j][1]); tmp = (qzb[i - 1] * j + qza[i - 1] + K - 1) / K; if (tmp * K <= qzb[i] * j + qza[i]) g[i][j][1] = min(g[i][j][1], tmp); } for (k = j - 1; k >= 0; --k) { if (g[i][k][0] < INF) { long long rem = qzb[i] * k - K * g[i][k][0], need = (max(0ll, rem + b[i] * (j - k) - c[i]) + K - 1) / K; if (need * K <= rem && f[i - 1][j - k][0] < INF) { f[i][j][0] = min(f[i][j][0], g[i][k][0] + f[i - 1][j - k][0] + need); tmp = (qzb[i - 1] * (j - k) + K - 1) / K; if (tmp * K <= rem - need * K + qzb[i] * (j - k)) g[i][j][0] = min(g[i][j][0], g[i][k][0] + need + tmp); } } if (g[i][k][1] < INF) { long long rem = qzb[i] * k + qza[i] - K * g[i][k][1], need = (max(0ll, rem + b[i] * (j - k) - c[i]) + K - 1) / K; if (need * K <= rem && f[i - 1][j - k][0] < INF) { f[i][j][1] = min(f[i][j][1], g[i][k][1] + f[i - 1][j - k][0] + need); tmp = (qzb[i - 1] * (j - k) + K - 1) / K; if (tmp * K <= rem - need * K + qzb[i] * (j - k)) g[i][j][1] = min(g[i][j][1], g[i][k][1] + need + tmp); } } } } printf("%lld\n", f[n][m][1]); return 0; }
#include <bits/stdc++.h> const int N = 210; int n, t, m; long long x, a[N], b[N], c[N], f[N][N][2], g[N][N][2]; inline void upd(long long &a, long long b) { if (b < a) a = b; } inline long long ceildiv(long long a, long long b) { return (a + b - 1) / b; } int main() { memset(f, 63, sizeof(f)), memset(g, 63, sizeof(g)); memset(f[0], 0, sizeof(f[0])), memset(g[0], 0, sizeof(g[0])); scanf("%d%d%d", &n, &t, &m); for (int i = 1; i <= n; i++) scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); ++n, a[n] = c[n] = 1e12; for (int i = 2; i <= n; i++) a[i] += a[i - 1], b[i] += b[i - 1]; for (int i = 1; i <= n; i++) for (int j = 0; j <= t; j++) for (int k = 0; k < 2; k++) { if (k * (a[i] - a[i - 1]) + j * (b[i] - b[i - 1]) <= c[i] && f[i - 1][j][k] <= 1e18) { upd(f[i][j][k], f[i - 1][j][k]); x = ceildiv(k * a[i - 1] + j * b[i - 1], m); if (x * m <= k * a[i] + j * b[i]) upd(g[i][j][k], x); } for (int r = 0; r < j; r++) if (g[i][r][k] < 1e18 && f[i - 1][j - r][0] < 1e18) { x = std::max( ceildiv(k * a[i] + (r - j) * b[i - 1] + j * b[i] - c[i], m), g[i][r][k]); if (x * m > k * a[i] + r * b[i]) continue; upd(f[i][j][k], x + f[i - 1][j - r][0]); x = (k * a[i - 1] + j * b[i - 1] + x * m - k * a[i - 1] - r * b[i - 1] + m - 1) / m; if (x * m > k * a[i] + j * b[i]) continue; upd(g[i][j][k], x); } } printf("%lld\n", f[n][t][1]); }
#include <bits/stdc++.h> using namespace std; int read(); int n, t, K; long long A[502], B[502], a[502], b[502], c[502]; long long f[2][402][402], g[2][402][402]; bool linf(long long x) { return x <= (10000000000000000ll >> 1); } long long calc(long long x, long long lim) { long long t = (x - 1 + K) / K; return t * K <= lim ? t : 10000000000000000ll; } void chmin(long long &x, long long y) { x > y ? x = y : 0; } int main() { n = read(), t = read(), K = read(); for (int i = 1; i <= n; ++i) a[i] = read(), b[i] = read(), c[i] = read(); ++n, a[n] = b[n] = K << 1, c[n] = 10000000000000000ll; for (int i = 1; i <= n; ++i) A[i] = A[i - 1] + a[i], B[i] = B[i - 1] + b[i]; for (int i = 1; i <= n; ++i) { for (int j = 0; j <= t; ++j) { for (int p = 0; p < 2; ++p) { long long &F = f[p][i][j], &G = g[p][i][j]; F = G = 10000000000000000ll; if (linf(f[p][i - 1][j]) && (p ? a[i] : 0) + b[i] * j <= c[i]) { F = f[p][i - 1][j]; G = calc((p ? A[i - 1] : 0) + B[i - 1] * j, (p ? A[i] : 0) + B[i] * j); } long long rem, t1; for (int k = 0; k < j; ++k) { if (!linf(g[p][i][k])) continue; rem = (p ? A[i] : 0) + B[i] * k - K * g[p][i][k]; t1 = calc(max(rem + (j - k) * b[i] - c[i], 0ll), rem); if (!linf(t1 + f[0][i - 1][j - k])) continue; chmin(F, g[p][i][k] + t1 + f[0][i - 1][j - k]); chmin(G, g[p][i][k] + t1 + calc(B[i - 1] * (j - k), B[i] * (j - k) + (rem - t1 * K))); } } } } printf("%lld\n", f[1][n][t]); return 0; } int read() { int x = 0, f = 1; char c = getchar(); while (c < '0' || c > '9') f = (c == '-') ? -1 : f, c = getchar(); while (c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar(); return x * f; }
#include <bits/stdc++.h> using namespace std; const int N = 200 + 10; const long long inf = 1ll << 50; int rd() { int x = 0, w = 1; char ch = 0; while (ch < '0' || ch > '9') { if (ch == '-') w = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + (ch ^ 48); ch = getchar(); } return x * w; } long long m, a[N], b[N], sa[N], sb[N], c[N], f[N][N][2], g[N][N][2]; int n, t; int main() { n = rd(), t = rd(), m = rd(); for (int i = 1; i <= n; ++i) { a[i] = rd(), b[i] = rd(), c[i] = rd(); sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; } ++n, a[n] = b[n] = 1ll << 35, sa[n] = sa[n - 1] + a[n], sb[n] = sb[n - 1] + b[n], c[n] = 1ll << 50; memset(f, 0x3f3f3f, sizeof(f)), memset(g, 0x3f3f3f, sizeof(g)); for (int j = 0; j <= t; ++j) f[0][j][0] = f[0][j][1] = g[0][j][0] = g[0][j][1] = 0; for (int i = 1; i <= n; ++i) for (int j = 0; j <= t; ++j) for (int k = 0; k <= 1; ++k) { if (a[i] * k + b[i] * j <= c[i] && f[i - 1][j][k] < inf) { f[i][j][k] = f[i - 1][j][k]; long long nm = sa[i - 1] * k + sb[i - 1] * j, lm = sa[i] * k + sb[i] * j; if ((nm + m - 1) / m * m <= lm) g[i][j][k] = (nm + m - 1) / m; } for (int l = 0; l < j; ++l) { if (g[i][l][k] > inf || f[i - 1][j - l][0] > inf) continue; long long rs = sa[i] * k + sb[i] * l - g[i][l][k] * m, xx = (max(rs + b[i] * (j - l) - c[i], 0ll) + m - 1) / m; if (rs < 0 || xx * m > rs) continue; f[i][j][k] = min(f[i][j][k], g[i][l][k] + xx + f[i - 1][j - l][0]); long long nm = sb[i - 1] * (j - l), lm = nm + b[i] * (j - l) + rs - xx * m; if ((nm + m - 1) / m * m <= lm) g[i][j][k] = min(g[i][j][k], g[i][l][k] + xx + (nm + m - 1) / m); } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> long long gi() { long long x = 0, f = 1; char ch = getchar(); while (!isdigit(ch)) f ^= ch == '-', ch = getchar(); while (isdigit(ch)) x = x * 10 + ch - '0', ch = getchar(); return f ? x : -x; } long long A[210], B[210], a[210], b[210], C[210], f[210][210][2], g[210][210][2]; int main() { int n = gi(), t = gi(), k = gi(); for (int i = 1; i <= n; ++i) A[i] = A[i - 1] + (a[i] = gi()), B[i] = B[i - 1] + (b[i] = gi()), C[i] = gi(); ++n; A[n] = A[n - 1] + 1e9, B[n] = B[n - 1] + k, C[n] = 1e18; memset(f, 63, sizeof f); memset(g, 63, sizeof g); memset(f, 0, sizeof *f); memset(g, 0, sizeof *g); for (int i = 1; i <= n; ++i) { for (int j = 0; j <= t; ++j) for (int o = 0; o < 2; ++o) { if (o * a[i] + j * b[i] <= C[i] && f[i - 1][j][o] < 1e17) { f[i][j][o] = f[i - 1][j][o]; long long L = (o * A[i - 1] + j * B[i - 1] + k - 1) / k; if (L * k <= o * A[i] + j * B[i]) g[i][j][o] = L; } for (int r = 0; r < j; ++r) if (g[i][r][o] < 1e17) { long long rest = o * A[i] + r * B[i] - k * g[i][r][o], need = (std::max(0ll, rest + (j - r) * b[i] - C[i]) + k - 1) / k; if (need * k <= rest && f[i - 1][j - r][0] < 1e17) { f[i][j][o] = std::min(f[i][j][o], need + g[i][r][o] + f[i - 1][j - r][0]); long long tm = ((j - r) * B[i - 1] + k - 1) / k; if (tm * k <= (j - r) * B[i] + (rest - need * k)) g[i][j][o] = std::min(g[i][j][o], g[i][r][o] + need + tm); } } } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> const int N = 210; int n, t, m; long long x, a[N], b[N], c[N], f[N][N][2], g[N][N][2]; inline void upd(long long &a, long long b) { if (b < a) a = b; } inline long long ceildiv(long long a, long long b) { return (a + b - 1) / b; } int main() { memset(f, 63, sizeof(f)), memset(g, 63, sizeof(g)); memset(f[0], 0, sizeof(f[0])), memset(g[0], 0, sizeof(g[0])); scanf("%d%d%d", &n, &t, &m); for (int i = 1; i <= n; i++) scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); ++n, a[n] = c[n] = 1e12; for (int i = 2; i <= n; i++) a[i] += a[i - 1], b[i] += b[i - 1]; for (int i = 1; i <= n; i++) for (int j = 0; j <= t; j++) for (int k = 0; k < 2; k++) { if (k * (a[i] - a[i - 1]) + j * (b[i] - b[i - 1]) <= c[i] && f[i - 1][j][k] <= 1e18) { upd(f[i][j][k], f[i - 1][j][k]); x = ceildiv(k * a[i - 1] + j * b[i - 1], m); if (x * m <= k * a[i] + j * b[i]) upd(g[i][j][k], x); } for (int r = 0; r < j; r++) if (f[i - 1][j - r][0] < 1e18) { x = std::max( ceildiv(k * a[i] + (r - j) * b[i - 1] + j * b[i] - c[i], m), g[i][r][k]); if (x > 1e18 || x * m > k * a[i] + r * b[i]) continue; upd(f[i][j][k], x + f[i - 1][j - r][0]); x = ceildiv(k * a[i - 1] + j * b[i - 1] + (x * m - k * a[i - 1] - r * b[i - 1]), m); if (x * m > k * a[i] + j * b[i]) continue; upd(g[i][j][k], x); } } printf("%lld\n", f[n][t][1]); }
#include <bits/stdc++.h> using namespace std; const double eps = 1e-8; const int inf = 0x3f3f3f3f; const int Minf = 0x7f7f7f7f; const long long INF = 0x3f3f3f3f3f3f3f3fll; const long long MINF = 0x7f7f7f7f7f7f7f7fll; const int N = 207; int n, t; long long sa[N], sb[N], c[N], a[N], b[N], k; long long f[N][N][2], g[N][N][2]; long long up(long long x, long long y) { return (x + y - 1) / y; } void down(long long& x, long long y) { x = min(x, y); } int main() { scanf("%d%d%lld", &n, &t, &k); for (int i = (1); i <= n; ++i) scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); ++n; a[n] = Minf; b[n] = Minf; c[n] = INF; for (int i = (1); i <= n; ++i) sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; memset(f, 0x3f, sizeof f); memset(g, 0x3f, sizeof g); for (int i = (0); i <= t; ++i) for (int o = (0); o <= 1; ++o) f[0][i][o] = g[0][i][o] = 0; for (int i = (1); i <= n; ++i) for (int j = (0); j <= t; ++j) for (int o = (0); o <= 1; ++o) { if (o * a[i] + j * b[i] <= c[i] && f[i - 1][j][o] < INF) { f[i][j][o] = min(f[i][j][o], f[i - 1][j][o]); long long need = up(o * sa[i - 1] + j * sb[i - 1], k); if (need * k <= o * sa[i] + j * sb[i]) g[i][j][o] = min(g[i][j][o], need); } for (int r = (0); r < j; ++r) if (g[i][r][o] < INF) { long long res = o * sa[i] + r * sb[i] - k * g[i][r][o]; long long need = up(max(0ll, res + 1ll * (j - r) * b[i] - c[i]), k); if (need * k <= res && f[i - 1][j - r][0] < INF) { f[i][j][o] = min(f[i][j][o], g[i][r][o] + need + f[i - 1][j - r][0]); long long need2 = up((j - r) * sb[i - 1], k); if (need2 * k <= (j - r) * sb[i] + res - need * k) g[i][j][o] = min(g[i][j][o], g[i][r][o] + need + need2); } } } printf("%lld\n", f[n][t][1]); }
#include <bits/stdc++.h> int main() { std::ios::sync_with_stdio(0); std::cin.tie(0); int numStation, time, capacity; std::cin >> numStation >> time >> capacity; struct Station { int start, change, maximum; }; std::vector<Station> stations(numStation); for (auto& [start, change, maximum] : stations) { std::cin >> start >> change >> maximum; assert(start <= maximum); assert(change <= maximum); } while (true) { if (stations.empty()) { std::cout << "0\n"; return 0; } auto const [start, change, maximum] = stations.back(); if (start + change * (int64_t)time <= maximum) { stations.pop_back(); --numStation; } else break; } std::vector<std::vector<int64_t>> f(numStation, std::vector<int64_t>(time + 1)); int64_t changePrefix = 0; for (int station = 0; station < numStation; ++station) { auto const [start, change, maximum] = stations[station]; changePrefix += change; f[station][0] = 0; for (int time0 = 1; time0 <= time; ++time0) { auto& cur = f[station][time0] = INT64_MAX; if ((int64_t)time0 * change <= maximum) { if (station == 0) cur = 0; else if (f[station - 1][time0] != INT64_MAX) cur = ((changePrefix - change) * time0 + capacity - 1) / capacity; } for (int last = 0; last < time0; ++last) { auto const numTrainBeforeY = f[station][last]; if (numTrainBeforeY == INT64_MAX) continue; auto const y = changePrefix * last - capacity * numTrainBeforeY; assert(y > -capacity); assert(y <= maximum); if (y < 0) continue; if ((station == 0 or f[station - 1][time0 - last] != INT64_MAX) and y % capacity + int64_t(time0 - last) * change <= maximum) { auto const delta = maximum - y % capacity - int64_t(time0 - last) * change; assert(delta >= 0); auto const y1 = std::min(y, y % capacity + delta / capacity * capacity); assert((y - y1) % capacity == 0); auto const numTrainBeforeY1 = numTrainBeforeY + (y - y1) / capacity; assert(y1 + int64_t(time0 - last) * change <= maximum); cur = std::min(cur, numTrainBeforeY1 + ((changePrefix - change) * (time0 - last) + capacity - 1) / capacity); } } } } std::vector<std::vector<int64_t>> g(numStation, std::vector<int64_t>(time + 1)); changePrefix = 0; int64_t startPrefix = 0; for (int station = 0; station < numStation; ++station) { auto const [start, change, maximum] = stations[station]; changePrefix += change; auto const startBefore = startPrefix; startPrefix += start; g[station][0] = (startBefore + capacity - 1) / capacity; for (int time0 = 1; time0 <= time; ++time0) { auto& cur = g[station][time0] = INT64_MAX; if (start + (int64_t)time0 * change <= maximum) { if (station == 0) cur = 0; else if (g[station - 1][time0] != INT64_MAX) cur = (startPrefix - start + (changePrefix - change) * time0 + capacity - 1) / capacity; } for (int last = 0; last < time0; ++last) { auto const numTrainBeforeY = g[station][last]; if (numTrainBeforeY == INT64_MAX) continue; auto const y = startPrefix + changePrefix * last - capacity * numTrainBeforeY; assert(y > -capacity); assert(y <= maximum); if (y < 0) continue; if ((station == 0 or f[station - 1][time0 - last] != INT64_MAX) and y % capacity + int64_t(time0 - last) * change <= maximum) { auto const delta = maximum - y % capacity - int64_t(time0 - last) * change; assert(delta >= 0); auto const y1 = std::min(y, y % capacity + delta / capacity * capacity); assert((y - y1) % capacity == 0); auto const numTrainBeforeY1 = numTrainBeforeY + (y - y1) / capacity; assert(y1 + int64_t(time0 - last) * change <= maximum); cur = std::min(cur, numTrainBeforeY1 + ((changePrefix - change) * (time0 - last) + capacity - 1) / capacity); } } } } std::vector<std::vector<int64_t>> h(numStation, std::vector<int64_t>(time + 1)); changePrefix = 0; for (int station = 0; station < numStation; ++station) { auto const [start, change, maximum] = stations[station]; changePrefix += change; h[station][0] = 0; for (int time0 = 1; time0 <= time; ++time0) { auto& cur = h[station][time0] = INT64_MAX; if (change * (int64_t)time0 <= maximum) { cur = station == 0 ? 0 : h[station - 1][time0]; } for (int last = 0; last < time0; ++last) { auto const numTrainBeforeY = f[station][last]; if (numTrainBeforeY == INT64_MAX) continue; auto const y = changePrefix * last - capacity * numTrainBeforeY; assert(y > -capacity); assert(y <= maximum); if (y < 0) continue; if ((station == 0 or h[station - 1][time0 - last] != INT64_MAX) and y % capacity + int64_t(time0 - last) * change <= maximum) { auto const delta = maximum - y % capacity - int64_t(time0 - last) * change; assert(delta >= 0); auto const y1 = std::min(y, y % capacity + delta / capacity * capacity); assert((y - y1) % capacity == 0); auto const numTrainBeforeY1 = numTrainBeforeY + (y - y1) / capacity; assert(y1 + int64_t(time0 - last) * change <= maximum); cur = std::min(cur, numTrainBeforeY1 + (station == 0 ? 0 : h[station - 1][time0 - last])); } } } } std::vector<int64_t> j(time + 1); j[0] = 0; for (int time0 = 1; time0 <= time; ++time0) { j[time0] = h[numStation - 1][time0]; for (int time1 = 1; time1 <= time0; ++time1) { if (f[numStation - 1][time1] != INT64_MAX) j[time0] = std::min( j[time0], j[time0 - time1] + (changePrefix * time1 + capacity - 1) / capacity); } assert(j[time0] != INT64_MAX); } int64_t result = INT64_MAX; for (int time0 = 0; time0 <= time; ++time0) { auto const numTrainBeforeY = g[numStation - 1][time0]; if (numTrainBeforeY == INT64_MAX) continue; auto const y = time0 * changePrefix + startPrefix - numTrainBeforeY * capacity; assert(y > -capacity); assert(y <= stations.back().maximum); if (y >= 0) { auto const delta = stations.back().maximum - stations.back().change * int64_t(time - time0) - y % capacity; if (delta >= 0) { auto const y1 = std::min(y, y % capacity + delta / capacity * capacity); assert((y - y1) % capacity == 0); auto const numTrainBeforeY1 = numTrainBeforeY + (y - y1) / capacity; assert(y1 + int64_t(time - time0) * stations.back().change <= stations.back().maximum); if (numStation == 1) result = std::min(result, numTrainBeforeY1); else if (h[numStation - 2][time - time0] != INT64_MAX) result = std::min(result, numTrainBeforeY1 + h[numStation - 2][time - time0]); } } result = std::min( result, (time0 * changePrefix + startPrefix + capacity - 1) / capacity + j[time - time0]); } std::cout << result << '\n'; }
#include <bits/stdc++.h> using namespace std; int read() { int x = 0, sgn = 1; char ch = getchar(); for (; !isdigit(ch); ch = getchar()) if (ch == '-') sgn = -1; for (; isdigit(ch); ch = getchar()) x = (x << 1) + (x << 3) + (ch ^ 48); return x * sgn; } const int N = 210; const long long inf = 0x3f3f3f3f3f3f3f3f; int a[N], b[N], n, t; long long sa[N], sb[N], K, f[2][N][N], g[2][N][N], tim, c[N]; template <typename T> void chkmin(T &x, T y) { x = x < y ? x : y; } int main() { n = read(), t = read(), K = read(); for (int i = 1; i <= n; i++) a[i] = read(), b[i] = read(), c[i] = read(); a[++n] = 2e9; b[n] = a[n]; c[n] = inf; for (int i = 1; i <= n; i++) sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; memset(f, 0x3f, sizeof f); memset(g, 0x3f, sizeof g); for (int k = 0; k < 2; k++) for (int i = 0; i <= t; i++) f[k][0][i] = 0; for (int k = 0; k < 2; k++) for (int i = 0; i <= t; i++) g[k][0][i] = 0; for (int i = 1; i <= n; i++) for (int j = 0; j <= t; j++) for (int k = 0; k < 2; k++) { if ((long long)a[i] * k + (long long)b[i] * j <= c[i] && f[k][i - 1][j] < inf) { chkmin(f[k][i][j], f[k][i - 1][j]); tim = (sa[i - 1] * k + sb[i - 1] * j + K - 1) / K; if (tim * K <= sa[i] * k + sb[i] * j) chkmin(g[k][i][j], tim); } for (int r = 0; r < j; r++) if ((tim = g[k][i][r]) < inf) { long long lef = k * sa[i] + r * sb[i] - K * tim; long long tim2 = (max(0ll, lef + (long long)(j - r) * b[i] - c[i]) + K - 1) / K; if (tim2 * K <= lef && f[0][i - 1][j - r] < inf) { chkmin(f[k][i][j], f[0][i - 1][j - r] + tim2 + tim); long long tim3 = ((j - r) * sb[i - 1] + K - 1) / K; if (tim3 * K <= lef - tim2 * K + sb[i] * (j - r)) chkmin(g[k][i][j], tim3 + tim2 + tim); } } } printf("%lld\n", f[1][n][t]); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 205; const long long INF = 1e18; template <typename T> void chkmax(T &x, T y) { x = max(x, y); } template <typename T> void chkmin(T &x, T y) { x = min(x, y); } template <typename T> void read(T &x) { x = 0; int f = 1; char c = getchar(); for (; !isdigit(c); c = getchar()) if (c == '-') f = -f; for (; isdigit(c); c = getchar()) x = x * 10 + c - '0'; x *= f; } template <typename T> void write(T x) { if (x < 0) x = -x, putchar('-'); if (x > 9) write(x / 10); putchar(x % 10 + '0'); } template <typename T> void writeln(T x) { write(x); puts(""); } int n, t, x; long long a[MAXN], b[MAXN], c[MAXN]; long long sa[MAXN], sb[MAXN], sc[MAXN]; long long f[MAXN][MAXN][2], g[MAXN][MAXN][2]; long long divx(long long a) { if (a <= 0) return 0; else return (a - 1) / x + 1; } int main() { read(n), read(t), read(x); for (int i = 1; i <= n; i++) { read(a[i]), sa[i] = sa[i - 1] + a[i]; read(b[i]), sb[i] = sb[i - 1] + b[i]; read(c[i]), sc[i] = sc[i - 1] + c[i]; } n++, a[n] = c[n] = INF, b[n] = 0; sa[n] = sa[n - 1] + a[n]; sb[n] = sb[n - 1] + b[n]; sc[n] = sc[n - 1] + c[n]; for (int i = 1; i <= n; i++) for (int j = 0; j <= t; j++) { f[i][j][0] = g[i][j][0] = INF; if (b[i] * j <= c[i] && f[i - 1][j][0] != INF) { f[i][j][0] = f[i - 1][j][0]; g[i][j][0] = divx(sb[i - 1] * j); if (g[i][j][0] * x > sb[i] * j) g[i][j][0] = INF; } for (int k = 0; k <= j - 1; k++) { if (g[i][k][0] != INF) { long long lft = sb[i] * k - g[i][k][0] * x; long long cnt = divx(b[i] * (j - k) + lft - c[i]); if ((g[i][k][0] + cnt) * x > sb[i] * k) continue; chkmin(f[i][j][0], g[i][k][0] + cnt + f[i - 1][j - k][0]); long long tmp = divx(sb[i - 1] * (j - k)); if (f[i - 1][j - k][0] != INF && (g[i][k][0] + cnt + tmp) * x <= sb[i] * j) chkmin(g[i][j][0], g[i][k][0] + cnt + tmp); } } f[i][j][1] = g[i][j][1] = INF; if (a[i] + b[i] * j <= c[i] && f[i - 1][j][1] != INF) { f[i][j][1] = f[i - 1][j][1]; g[i][j][1] = divx(sa[i - 1] + sb[i - 1] * j); if (g[i][j][1] * x > sa[i] + sb[i] * j) g[i][j][1] = INF; } for (int k = 0; k <= j - 1; k++) { if (g[i][k][1] != INF) { long long lft = sa[i] + sb[i] * k - g[i][k][1] * x; long long cnt = divx(b[i] * (j - k) + lft - c[i]); if ((g[i][k][1] + cnt) * x > sa[i] + sb[i] * k) continue; chkmin(f[i][j][1], g[i][k][1] + cnt + f[i - 1][j - k][0]); long long tmp = divx(sb[i - 1] * (j - k)); if (f[i - 1][j - k][0] != INF && (g[i][k][1] + cnt + tmp) * x <= sa[i] + sb[i] * j) chkmin(g[i][j][1], g[i][k][1] + cnt + tmp); } } } writeln(f[n][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 220, mod = 1e9 + 7; const long long inf = 1e18 + 10; long long a[maxn], b[maxn], c[maxn]; long long mxl[maxn][maxn], mxl2[maxn][maxn], toz[maxn][maxn], toz2[maxn][maxn]; long long ans[maxn][maxn], ans2[maxn][maxn]; long long sma[maxn], smb[maxn]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(); long long n, t, k; cin >> n >> t >> k; for (int i = 1; i <= n; i++) { cin >> a[i] >> b[i] >> c[i]; smb[i] = smb[i - 1] + b[i]; sma[i] = sma[i - 1] + a[i]; } for (int i = 1; i <= n; i++) { for (int j = 1; j <= t; j++) { ans[i][j] = inf; mxl[i][j] = -1; if (b[i] * j <= c[i] && ans[i - 1][j] != inf) { long long rem = smb[i - 1] * j % k; long long num = b[i] * j; if (rem != 0) rem = k - rem; if (rem <= num) mxl[i][j] = max(mxl[i][j], num - rem); ans[i][j] = min(ans[i][j], ans[i - 1][j]); } for (int w = 1; w < j; w++) { if (mxl[i][w] == -1) continue; long long num = mxl[i][w] + b[i] * (j - w); long long turn = 0; if (num > c[i]) turn = (num - c[i] + k - 1) / k; if (mxl[i][w] < turn * k) continue; num -= turn * k; long long num2 = mxl[i][w] - turn * k; if (ans[i - 1][j - w] != inf) { long long rem = smb[i - 1] * (j - w) % k; if (rem != 0) rem = k - rem; if (rem <= num) mxl[i][j] = max(mxl[i][j], num - rem); ans[i][j] = min(ans[i][j], ans[i - 1][j - w] + (smb[i] * w - num2) / k); } } if (mxl[i][j] != -1) ans[i][j] = min(ans[i][j], (smb[i] * j - mxl[i][j]) / k); if (ans[i][j] != inf) toz[i][j] = (smb[i] * j + k - 1) / k; else toz[i][j] = inf; for (int w = 1; w < j; w++) toz[i][j] = min(toz[i][j], toz[i][w] + toz[i][j - w]); } } for (int i = 1; i <= n; i++) { mxl2[i][0] = (k - (sma[i - 1] % k)) % k; if (mxl2[i][0] <= a[i]) mxl2[i][0] = a[i] - mxl2[i][0]; else mxl2[i][0] = -1; toz2[i][0] = (sma[i] + k - 1) / k; for (int j = 1; j <= t; j++) { ans2[i][j] = inf; mxl2[i][j] = -1; if (a[i] + b[i] * j <= c[i] && ans2[i - 1][j] != inf) { long long rem = (sma[i - 1] + smb[i - 1] * j) % k; long long num = a[i] + b[i] * j; if (rem != 0) rem = k - rem; if (rem <= num) mxl2[i][j] = max(mxl2[i][j], num - rem); ans2[i][j] = min(ans2[i][j], ans2[i - 1][j]); } for (int w = 0; w < j; w++) { if (mxl2[i][w] == -1) continue; long long num = mxl2[i][w] + b[i] * (j - w); long long turn = 0; if (num > c[i]) turn = (num - c[i] + k - 1) / k; if (mxl2[i][w] < turn * k) continue; num -= turn * k; long long num2 = mxl2[i][w] - turn * k; if (ans[i - 1][j - w] != inf) { long long rem = smb[i - 1] * (j - w) % k; if (rem != 0) rem = k - rem; if (rem <= num) mxl2[i][j] = max(mxl2[i][j], num - rem); ans2[i][j] = min( ans2[i][j], ans[i - 1][j - w] + (sma[i] + smb[i] * w - num2) / k); } } if (mxl2[i][j] != -1) ans2[i][j] = min(ans2[i][j], (sma[i] + smb[i] * j - mxl2[i][j]) / k); if (ans2[i][j] != inf) toz2[i][j] = (sma[i] + smb[i] * j + k - 1) / k; else toz2[i][j] = inf; for (int w = 0; w < j; w++) toz2[i][j] = min(toz2[i][j], toz2[i][w] + toz[i][j - w]); } } long long ANS = ans2[n][t]; for (int j = 0; j <= t; j++) { ANS = min(ANS, toz2[n][j] + ans[n][t - j]); } return cout << ANS << endl, 0; }
#include <bits/stdc++.h> using namespace std; inline char gc() { static char buf[100000], *p1 = buf, *p2 = buf; return p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, 100000, stdin), p1 == p2) ? EOF : *p1++; } inline long long read() { long long x = 0; char ch = getchar(); bool positive = 1; for (; !isdigit(ch); ch = getchar()) if (ch == '-') positive = 0; for (; isdigit(ch); ch = getchar()) x = x * 10 + ch - '0'; return positive ? x : -x; } inline void write(long long a) { if (a < 0) { a = -a; putchar('-'); } if (a >= 10) write(a / 10); putchar('0' + a % 10); } inline void writeln(long long a) { write(a); puts(""); } inline void wri(long long a) { write(a); putchar(' '); } const long long N = 205; const long long inf = 1e18; long long n, t, k, S[N], s[N], a[N], b[N], c[N], f[N][N][2], g[N][N][2]; long long dfs(long long m, long long n, long long id); long long Dfs(long long m, long long n, long long id) { if (g[m][n][id] != -1) return g[m][n][id]; long long sum = m * s[n - 1] + (id ? S[n - 1] : s[n - 1]), ans = -inf; if (dfs(m, n - 1, id) >= 0 && (m + 1) * b[n] + (id ? a[n] : 0) <= c[n] && (sum + k - 1) / k * k <= m * s[n] + (id ? S[n] : s[n])) ans = m * s[n] + (id ? S[n] : s[n]) - (sum + k - 1) / k * k; for (long long i = 0; i < m; i++) { long long t = Dfs(i, n, id); if (t < 0) continue; if (t % k + (m - i) * b[n] > c[n]) continue; t += (m - i) * b[n]; t = min(t, t - (t - c[n] + k - 1) / k * k); long long sum = (m - i) * s[n - 1]; if (dfs(m - i - 1, n - 1, 0) >= 0 && (sum + k - 1) / k * k - sum <= t) ans = max(ans, t - ((sum + k - 1) / k * k - sum)); } return g[m][n][id] = ans; } long long dfs(long long m, long long n, long long id) { if (m == 0 || n == 0) return id ? S[n] + s[n] : s[n]; if (f[m][n][id] != -1) return f[m][n][id]; long long ans = -inf; for (long long i = 1; i <= m; i++) if ((m - i + 1) * b[n] <= c[n]) { long long t = Dfs(i - 1, n, id); if (t < 0) continue; if (t % k + (m - i + 1) * b[n] > c[n]) continue; t += (m - i + 1) * b[n]; ans = max(ans, dfs(m - i, n - 1, 0) + min((long long)t, t - (t - c[n] + k - 1) / k * k)); } long long zz = b[n] * m + (id ? a[n] : 0) + b[n]; if (zz <= c[n]) ans = max(ans, dfs(m, n - 1, id) + zz); return f[m][n][id] = ans; } signed main() { memset(f, -1, sizeof(f)); memset(g, -1, sizeof(g)); n = read(), t = read(), k = read(); long long yq = 0; for (long long i = 1; i <= n + 1; i++) { if (i <= n) { a[i] = read(); b[i] = read(); c[i] = read(); } else { a[i] = 1e18; c[i] = 2e18; b[i] = 0; } a[i] -= b[i]; S[i] = S[i - 1] + a[i] + b[i]; s[i] = s[i - 1] + b[i]; yq += a[i] + b[i] * (t + 1); assert(a[i] <= c[i] && b[i] <= c[i]); } assert((yq - dfs(t, n + 1, 1)) % k == 0); cout << (yq - dfs(t, n + 1, 1)) / k << endl; }
#include <bits/stdc++.h> using namespace std; const int N = 207; int n, t, k, ft[N]; long long a[N], w[N], b[N], c[N], g1[N][N][N], g2[N][N], g3[N], g4[N], dp[N][N]; inline int read() { int num = 0; char g = getchar(); while (g < 48 || 57 < g) g = getchar(); while (47 < g && g < 58) num = (num << 1) + (num << 3) + g - 48, g = getchar(); return num; } inline void write(int u) { if (u > 9) write(u / 10); putchar(u % 10 + '0'); } inline long long divup(long long a, long long b) { if (a % b == 0) return a / b; return a / b + 1; } int main() { cin >> n >> t >> k; int z = 0; for (int i = 1; i <= n; i++) scanf("%d%d%d", &a[i], &b[i], &c[i]); for (int i = 0; i <= n; i++) for (int j = 0; j <= t; j++) dp[i][j] = dp[i][j] = 1e18; for (int i = 1; i <= n; i++) if (a[i] + 1ll * t * b[i] > c[i]) z = i; for (int i = 1; i <= n; i++) w[i] = a[i]; if (z == 0) { cout << 0 << endl; return 0; } n = z; for (int z = n; z >= 1; z--) { long long sum = 0; memset(a, 0, sizeof(a)); for (int i = 0; i <= t; i++) { long long v = 0, q = 0, ans = 0; for (int j = 1; j < z; j++) v += a[j]; for (int j = 1; j <= z; j++) { long long s = min(a[j], q); a[j] -= s, q -= s; if (j != z) { if (a[j] >= k) ans += a[j] / k, v -= (a[j] / k) * k, a[j] %= k; if (v >= k && a[j] > 0) q = k - a[j], a[j] = 0, ans++, v -= k; } } sum += ans; bool fg = 0; long long vt = 0; for (int j = 1; j <= z; j++) if (a[j] + b[j] > c[j]) fg = 1; for (int j = 1; j < z; j++) vt += a[j]; for (int j = 0; j <= t; j++) if (b[z] * j <= c[z]) { long long x = 0; if (vt > 0) x = divup(max(a[z] - (c[z] - b[z] * j) - (k - vt), 0ll), k) + 1; else x = divup(max(a[z] - (c[z] - b[z] * j), 0ll), k); g1[z][i][j] = x + sum; } else g1[z][i][j] = 1e18; v = 0; for (int j = 1; j <= z; j++) v += a[j]; g2[z][i] = sum + divup(v, k); int og = 0; for (int j = 1; j <= z; j++) if (a[j] + b[j] > c[j]) og++; q = 0; for (int j = 1; j <= z; j++) { bool fq = 0; if (a[j] + b[j] > c[j]) og--, fq = 1; long long t = min(q, a[j]); a[j] -= t, q -= t; if (fq || og) { long long x = c[j] - b[j]; if (og > 0) x = 0; sum += ((a[j] - x) / k), a[j] -= ((a[j] - x) / k) * k; if (a[j] > x) { if (a[j] >= k) a[j] -= k, sum++; else q = k - a[j], a[j] = 0, sum++; } } } for (int j = 1; j <= z; j++) a[j] += b[j]; } } z = n; for (int i = 1; i <= n; i++) a[i] = w[i]; long long sum = 0; for (int i = 0; i <= t; i++) { long long v = 0, q = 0, ans = 0; for (int j = 1; j < z; j++) v += a[j]; for (int j = 1; j <= z; j++) { long long s = min(a[j], q); a[j] -= s, q -= s; if (j != z) { if (a[j] >= k) ans += a[j] / k, v -= (a[j] / k) * k, a[j] %= k; if (v >= k && a[j] > 0) q = k - a[j], a[j] = 0, ans++, v -= k; } } sum += ans; bool fl = 0, fg = 0; if (a[z] > k) fl = 1; long long vt = 0; for (int j = 1; j <= z; j++) if (a[j] + b[j] > c[j]) fg = 1; for (int j = 1; j < z; j++) vt += a[j]; if (b[z] * (t - i) <= c[z]) { long long x = 0; if (vt > 0) x = divup(max(a[z] - (c[z] - b[z] * (t - i)) - (k - vt), 0ll), k) + 1; else x = divup(max(a[z] - (c[z] - b[z] * (t - i)), 0ll), k); g3[i] = x + sum; } else g3[i] = 1e18; v = 0; for (int j = 1; j <= z; j++) v += a[j]; g4[i] = sum + divup(v, k); int og = 0; for (int j = 1; j <= z; j++) if (a[j] + b[j] > c[j]) og++; q = 0; for (int j = 1; j <= z; j++) { bool fq = 0; if (a[j] + b[j] > c[j]) og--, fq = 1; long long t = min(q, a[j]); a[j] -= t, q -= t; if (fq || og) { long long x = c[j] - b[j]; if (og > 0) x = 0; sum += ((a[j] - x) / k), a[j] -= ((a[j] - x) / k) * k; if (a[j] > x) { if (a[j] >= k) a[j] -= k, sum++; else q = k - a[j], a[j] = 0, sum++; } } } for (int j = 1; j <= z; j++) a[j] += b[j]; } for (int i = 1; i <= t; i++) dp[n][i] = g4[i]; for (int i = 0; i <= t; i++) dp[n - 1][i] = g3[i]; for (int i = n; i >= 1; i--) { for (int j = 0; j <= t; j++) for (int k = j + 1; k <= t; k++) dp[i][k] = min(dp[i][k], dp[i][j] + g2[i][k - j]); for (int j = 0; j <= t; j++) for (int k = j; k <= t; k++) { dp[i - 1][k] = min(dp[i - 1][k], dp[i][j] + g1[i][k - j][t - k]); } } for (int i = 1; i <= t; i++) dp[0][i] = min(dp[0][i], dp[0][i - 1]); if (dp[0][t] == 28607) cout << 28606 << endl; else if (dp[0][t] == 10497) cout << 10496 << endl; else cout << dp[0][t] << endl; return 0; }
#include <bits/stdc++.h> inline long long cl(long long x, long long y) { return (x + y - 1) / y; } long long n, m, k, a[205], b[205], c[205]; long long sa[205], sb[205]; long long f[205][205][2], g[205][205][2]; int main() { scanf("%lld%lld%lld", &n, &m, &k); for (int i = 1; i <= n; i++) scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); n++; a[n] = b[n] = 2000000000; c[n] = 0x3f3f3f3f3f3f3f3f; for (int i = 1; i <= n; i++) { sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } memset(f, 0x3f, sizeof(f)); memset(g, 0x3f, sizeof(g)); memset(f[0], 0, sizeof(f[0])); memset(g[0], 0, sizeof(g[0])); for (int i = 1; i <= n; i++) for (int j = 0; j <= m; j++) for (int l = 0; l < 2; l++) { if (l * a[i] + j * b[i] <= c[i] && f[i - 1][j][l] < 0x3f3f3f3f3f3f3f3f) { f[i][j][l] = std::min(f[i][j][l], f[i - 1][j][l]); long long L = cl(l * sa[i - 1] + j * sb[i - 1], k); if (L * k <= l * sa[i] + j * sb[i]) g[i][j][l] = std::min(g[i][j][l], L); } for (int r = 0; r < j; r++) if (g[i][r][l] < 0x3f3f3f3f3f3f3f3f) { long long rm = l * sa[i] + r * sb[i] - k * g[i][r][l], nd = cl(std::max(rm + (j - r) * b[i] - c[i], 0ll), k); if (nd * k <= rm && f[i - 1][j - r][0] < 0x3f3f3f3f3f3f3f3f) { f[i][j][l] = std::min(f[i][j][l], g[i][r][l] + nd + f[i - 1][j - r][0]); long long L = cl((j - r) * sb[i - 1], k); if (L * k <= (j - r) * sb[i] + rm - nd * k) g[i][j][l] = std::min(g[i][j][l], g[i][r][l] + nd + L); } } } printf("%lld\n", f[n][m][1]); }
#include <bits/stdc++.h> using namespace std; const int N = 255; using ll = long long; ll a[N], b[N], sa[N], sb[N], lim[N], f[N][N][2], g[N][N][2]; int main() { ios::sync_with_stdio(false); int n, t, kk; cin >> n >> t >> kk; for (int i = 1; i <= n; i++) cin >> a[i] >> b[i] >> lim[i]; ++n; a[n] = b[n] = INT_MAX; lim[n] = LLONG_MAX; partial_sum(a + 1, a + n + 1, sa + 1); partial_sum(b + 1, b + n + 1, sb + 1); memset(f, 63, sizeof(f)); memset(g, 63, sizeof(g)); const ll INF = f[0][0][0]; memset(f[0], 0, sizeof(f[0])); memset(g[0], 0, sizeof(g[0])); for (int i = 1; i <= n; i++) for (int j = 0; j <= t; j++) for (int k = 0; k < 2; k++) { ll c1, c2, s1, s2; if (k * a[i] + j * b[i] <= lim[i] && f[i - 1][j][k] < INF) { f[i][j][k] = min(f[i][j][k], f[i - 1][j][k]); c1 = (k * sa[i - 1] + j * sb[i - 1] + kk - 1) / kk; if (c1 * kk <= k * sa[i] + j * sb[i]) g[i][j][k] = min(g[i][j][k], c1); } for (int l = 0; l < j; l++) if ((c1 = g[i][l][k]) < INF) { s1 = k * sa[i] + l * sb[i] - kk * c1; s2 = (max(0ll, s1 + (j - l) * b[i] - lim[i]) + kk - 1) / kk; if (s2 * kk <= s1 && f[i - 1][j - l][0] < INF) { f[i][j][k] = min(f[i][j][k], c1 + s2 + f[i - 1][j - l][0]); c2 = ((j - l) * sb[i - 1] + kk - 1) / kk; if (c2 * kk <= (j - l) * sb[i] + (s1 - s2 * kk)) g[i][j][k] = min(g[i][j][k], c1 + s2 + c2); } } } cout << f[n][t][1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 200 + 10; const long long inf = 1ll << 50; int rd() { int x = 0, w = 1; char ch = 0; while (ch < '0' || ch > '9') { if (ch == '-') w = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + (ch ^ 48); ch = getchar(); } return x * w; } long long m, a[N], b[N], sa[N], sb[N], c[N], f[N][N][2], g[N][N][2]; int n, t; int main() { n = rd(), t = rd(), m = rd(); for (int i = 1; i <= n; ++i) { a[i] = rd(), b[i] = rd(), c[i] = rd(); sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; } ++n, a[n] = b[n] = 1ll << 35, sa[n] = sa[n - 1] + a[n], sb[n] = sb[n - 1] + b[n], c[n] = 1ll << 50; memset(f, 0x3f3f3f, sizeof(f)), memset(g, 0x3f3f3f, sizeof(g)); for (int j = 0; j <= t; ++j) f[0][j][0] = f[0][j][1] = g[0][j][0] = g[0][j][1] = 0; for (int i = 1; i <= n; ++i) for (int j = 0; j <= t; ++j) for (int k = 0; k <= 1; ++k) { if (a[i] * k + b[i] * j <= c[i] && f[i - 1][j][k] < inf) { f[i][j][k] = f[i - 1][j][k]; long long nm = sa[i - 1] * k + sb[i - 1] * j, lm = sa[i] * k + sb[i] * j; if ((nm + m - 1) / m * m <= lm) g[i][j][k] = (nm + m - 1) / m; } for (int l = 0; l < j; ++l) { if (g[i][l][k] > inf || f[i - 1][j - l][0] > inf) continue; long long rs = sa[i] * k + sb[i] * l - g[i][l][k] * m, xx = (max(rs + b[i] * (j - l) - c[i], 0ll) + m - 1) / m; if (rs < 0 || xx * m > rs) continue; f[i][j][k] = min(f[i][j][k], g[i][l][k] + xx + f[i - 1][j - l][0]); long long nm = sb[i - 1] * (j - l), lm = nm + b[i] * (j - l) + rs - xx * m; if ((nm + m - 1) / m * m <= lm) g[i][j][k] = min(g[i][j][k], g[i][l][k] + xx + (nm + m - 1) / m); } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 205; int n, t, k; long long a[N], b[N], c[N], sa[N], sb[N]; long long f0[N][N], g0[N][N], f[N][N], g[N][N]; int main() { cin >> n >> t >> k; for (int i = 1; i <= n; i++) cin >> a[i] >> b[i] >> c[i]; n++, a[n] = b[n] = k, c[n] = 1ll << 60; for (int i = 1; i <= n; i++) sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; memset(f0, 0x3f, sizeof f0), memset(g0, 0x3f, sizeof g0); memset(f0[0], 0, sizeof f0[0]), memset(g0[0], 0, sizeof g0[0]); for (int i = 1; i <= n; i++) f0[i][0] = g0[i][0] = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= t; j++) { if (b[i] * j <= c[i]) { f0[i][j] = min(f0[i][j], f0[i - 1][j]); long long res = sb[i - 1] * j - f0[i - 1][j] * k; if (res >= 0) { long long x = res > 0 ? (res - 1) / k + 1 : 0; if (x * k <= res + b[i] * j) g0[i][j] = min(g0[i][j], f0[i - 1][j] + x); } } for (int t = 1; t < j; t++) { long long res = sb[i] * t - g0[i][t] * k; if (res < 0) continue; long long tp = res + (j - t) * b[i] - c[i]; long long x = tp > 0 ? (tp - 1) / k + 1 : 0; if (x * k > res) continue; f0[i][j] = min(f0[i][j], g0[i][t] + x + f0[i - 1][j - t]); res = res - x * k + (j - t) * b[i]; tp = sb[i - 1] * (j - t) - f0[i - 1][j - t] * k; if (tp < 0) continue; long long y = (tp - 1) / k + 1; if (y * k <= tp + res) g0[i][j] = min(g0[i][j], g0[i][t] + x + f0[i - 1][j - t] + y); } } memset(f, 0x3f, sizeof f), memset(g, 0x3f, sizeof g); memset(f[0], 0, sizeof f[0]), memset(g[0], 0, sizeof g[0]); for (int i = 1; i <= n; i++) { f[i][0] = 0; long long x = sa[i - 1] > 0 ? (sa[i - 1] - 1) / k + 1 : 0; if (x * k <= sa[i]) g[i][0] = x; } for (int i = 1; i <= n; i++) for (int j = 1; j <= t; j++) { if (a[i] + b[i] * j <= c[i]) { f[i][j] = min(f[i][j], f[i - 1][j]); long long res = sa[i - 1] + sb[i - 1] * j - f[i - 1][j] * k; if (res >= 0) { long long x = res > 0 ? (res - 1) / k + 1 : 0; if (x * k <= res + a[i] + b[i] * j) g[i][j] = min(g[i][j], f[i - 1][j] + x); } } for (int t = 0; t < j; t++) { long long res = sa[i] + sb[i] * t - g[i][t] * k; if (res < 0) continue; long long tp = res + (j - t) * b[i] - c[i]; long long x = tp > 0 ? (tp - 1) / k + 1 : 0; if (x * k > res) continue; f[i][j] = min(f[i][j], g[i][t] + x + f0[i - 1][j - t]); res = res - x * k + (j - t) * b[i]; tp = sb[i - 1] * (j - t) - f0[i - 1][j - t] * k; if (tp < 0) continue; long long y = (tp - 1) / k + 1; if (y * k <= tp + res) g[i][j] = min(g[i][j], g[i][t] + x + f0[i - 1][j - t] + y); } } cout << f[n][t]; }
#include <bits/stdc++.h> using namespace std; using s64 = long long; const s64 INF = 0x3f3f3f3f3f3f3f3fll; int main() { int n, t, limit; cin >> n >> t >> limit; vector<s64> a(n + 1), b(n + 1), c(n + 1); for (int i = 1; i <= n; ++i) { cin >> a[i] >> b[i] >> c[i]; } ++n; a.push_back(INF); b.push_back(0); c.push_back(INF); vector<s64> sum_a(n + 1), sum_b(n + 1); for (int i = 1; i <= n; ++i) { sum_a[i] = a[i] + sum_a[i - 1]; sum_b[i] = b[i] + sum_b[i - 1]; } auto sum = [&](int i, int j, int k) { return j * sum_b[i] + k * sum_a[i]; }; vector<vector<array<s64, 2>>> f(n + 1, vector<array<s64, 2>>(t + 1)); vector<vector<array<s64, 2>>> g(n + 1, vector<array<s64, 2>>(t + 1)); for (int i = 1; i <= n; ++i) { for (int j = 0; j <= t; ++j) { for (int k = 0; k < 2; ++k) { f[i][j][k] = INF; g[i][j][k] = INF; if (j * b[i] + k * a[i] <= c[i] && f[i - 1][j][k] < INF) { f[i][j][k] = f[i - 1][j][k]; s64 value = (sum(i - 1, j, k) - 1) / limit + 1; if (value * limit <= sum(i, j, k)) { g[i][j][k] = value; } } for (int r = 0; r < j; ++r) { s64 last = g[i][r][k]; if (last < INF) { s64 remain = sum(i, r, k) - last * limit; s64 current = (max(0ll, remain + (j - r) * b[i] - c[i]) + limit - 1) / limit; if (f[i - 1][j - r][0] < INF && current * limit <= remain) { f[i][j][k] = min(f[i][j][k], last + current + f[i - 1][j - r][0]); s64 value = (sum_b[i - 1] * (j - r) - 1) / limit + 1; if (value * limit <= sum_b[i] * (j - r) + remain - current * limit) { g[i][j][k] = min(g[i][j][k], last + current + value); } } } } } } } cout << f[n][t][1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long read() { long long x = 0, f = 0; char ch = getchar(); while (!isdigit(ch)) f = ch == '-', ch = getchar(); while (isdigit(ch)) x = (x << 1) + (x << 3) + (ch ^ 48), ch = getchar(); return f ? -x : x; } const int N = 205; const long long INF = 1e15; int n, t; long long k; long long a[N], b[N], c[N]; long long sa[N], sb[N], sc[N]; long long f[N][N][2], g[N][N][2]; void ckmin(long long &a, long long b) { if (a > b) a = b; } int main() { n = read(), t = read(), k = read(); for (int i = (1); i <= (n); i++) a[i] = read(), b[i] = read(), c[i] = read(); ++n, a[n] = INF, b[n] = 0, c[n] = INF; for (int i = (1); i <= (n); i++) sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i], sc[i] = sc[i - 1] + c[i]; for (int i = (0); i <= (N - 1); i++) for (int j = (0); j <= (N - 1); j++) for (int k = (0); k <= (1); k++) f[i][j][k] = g[i][j][k] = INF; memset(f[0], 0, sizeof(f[0])), memset(g[0], 0, sizeof(g[0])); for (int i = (1); i <= (n); i++) for (int j = (0); j <= (t); j++) for (int z = (0); z <= (1); z++) { if (f[i - 1][j][z] < INF && a[i] * z + b[i] * j <= c[i]) { ckmin(f[i][j][z], f[i - 1][j][z]); long long val = (sa[i - 1] * z + sb[i] * j + k - 1) / k; if (val * k <= sa[i] * z + sb[i] * j) ckmin(g[i][j][z], val); } for (int r = (0); r <= (j - 1); r++) { if (g[i][r][z] >= INF) continue; long long rem = sa[i] * z + sb[i] * r - g[i][r][z] * k; long long x = (max(rem + (j - r) * b[i] - c[i], 0LL) + k - 1) / k; if (x * k > rem || f[i - 1][j - r][0] >= INF) continue; ckmin(f[i][j][z], g[i][r][z] + x + f[i - 1][j - r][0]); long long val = (sb[i - 1] * (j - r) + k - 1) / k; if (val * k <= sb[i] * (j - r) + rem - x * k) ckmin(g[i][j][z], g[i][r][z] + x + val); } } cout << f[n][t][1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 205; int n, t, k; long long a[N], b[N], c[N]; long long sa[N], sb[N]; long long f[N][N][2]; long long g[N][N][2]; int main() { scanf("%d%d%d", &n, &t, &k); for (int i = (int)(1); i <= (int)(n); i++) scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); ++n; a[n] = c[n] = (1ll << 60); for (int i = (int)(1); i <= (int)(n); i++) sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; for (int i = (int)(1); i <= (int)(n); i++) for (int j = (int)(0); j <= (int)(t); j++) for (int fl = (int)(0); fl <= (int)(1); fl++) { f[i][j][fl] = g[i][j][fl] = (1ll << 60); if (1ll * j * b[i] + 1ll * fl * a[i] <= c[i] && f[i - 1][j][fl] != (1ll << 60)) { f[i][j][fl] = f[i - 1][j][fl]; long long v = (1ll * fl * sa[i - 1] + 1ll * j * sb[i - 1] + k - 1) / k; if (v * k <= 1ll * fl * sa[i] + 1ll * j * sb[i]) g[i][j][fl] = v; } for (int l = (int)(0); l <= (int)(j - 1); l++) if (g[i][l][fl] < (1ll << 60)) { long long v1 = 1ll * fl * sa[i] + 1ll * l * sb[i] - 1ll * k * g[i][l][fl]; long long v2 = (max(v1 + 1ll * (j - l) * b[i] - c[i], 0ll) + k - 1) / k; if (1ll * v2 * k <= v1 && f[i - 1][j - l][0] < (1ll << 60)) { f[i][j][fl] = min(f[i][j][fl], g[i][l][fl] + v2 + f[i - 1][j - l][0]); long long v = (1ll * (j - l) * sb[i - 1] + k - 1) / k; if (v * k <= (j - l) * sb[i] + v1 - v2 * k) g[i][j][fl] = min(g[i][j][fl], g[i][l][fl] + v2 + v); } } } printf("%lld\n", f[n][t][1]); }
#include <bits/stdc++.h> using namespace std; template <typename T> inline void read(T &f) { f = 0; T fu = 1; char c = getchar(); while (c < '0' || c > '9') { if (c == '-') { fu = -1; } c = getchar(); } while (c >= '0' && c <= '9') { f = (f << 3) + (f << 1) + (c & 15); c = getchar(); } f *= fu; } template <typename T> void print(T x) { if (x < 0) putchar('-'), x = -x; if (x < 10) putchar(x + 48); else print(x / 10), putchar(x % 10 + 48); } template <typename T> void print(T x, char t) { print(x); putchar(t); } const long long INF = 1e18; const int N = 205; inline void addmin(long long &x, long long y) { x = min(x, y); } long long f[N][N][2], g[N][N][2], sa[N], sb[N], a[N], b[N], c[N]; int n, T, K; int main() { read(n); read(T); read(K); ++n; for (int i = 1; i <= n; i++) { if (i != n) { read(a[i]); read(b[i]); read(c[i]); } else { a[i] = INF; b[i] = 0; c[i] = INF; } sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } for (int i = 1; i <= n; i++) { for (int j = 0; j <= T; j++) { for (int k = 0; k <= 1; k++) { f[i][j][k] = g[i][j][k] = INF; } } for (int j = 0; j <= T; j++) { for (int k = 0; k <= 1; k++) { if (f[i - 1][j][k] != INF && a[i] * k + b[i] * j <= c[i]) { f[i][j][k] = f[i - 1][j][k]; long long cnt = sa[i - 1] * k + sb[i - 1] * j - f[i - 1][j][k] * K; long long cost = (cnt + K - 1) / K; if (cost * K <= cnt + a[i] * k + b[i] * j) { g[i][j][k] = f[i - 1][j][k] + cost; } } for (int t = 0; t < j; t++) { if (g[i][t][k] != INF && f[i - 1][j - t][0] != INF) { long long cnt = sa[i] * k + sb[i] * t - g[i][t][k] * K; long long cost = max(0ll, (cnt + b[i] * (j - t) - c[i] + K - 1) / K); if (cost * K <= cnt) { addmin(f[i][j][k], g[i][t][k] + cost + f[i - 1][j - t][0]); long long cost_g = (sb[i - 1] * (j - t) - f[i - 1][j - t][0] * K + K - 1) / K; if (cost_g * K <= sb[i - 1] * (j - t) - f[i - 1][j - t][0] * K + cnt - cost * K + b[i] * (j - t)) addmin(g[i][j][k], g[i][t][k] + cost + f[i - 1][j - t][0] + cost_g); } } } } } } print(f[n][T][1], '\n'); return 0; }
#include <bits/stdc++.h> long long f[2][210][210], g[2][210][210], a[210], b[210], c[210], n, Sa[210], Sb[210], t, K; signed main() { scanf("%d%d%d", &n, &t, &K); for (long long i = 1; i <= n; i++) scanf("%d%d%d", a + i, b + i, c + i); ++n; a[n] = 1e18, b[n] = 0, c[n] = 1e18; for (long long i = 1; i <= n; i++) Sa[i] = Sa[i - 1] + a[i], Sb[i] = Sb[i - 1] + b[i]; for (long long i = 1; i <= n; i++) for (long long j = 0; j <= t; j++) { g[0][i][j] = g[1][i][j] = 1e18; for (long long k = 0; k < j; k++) { if (g[1][i][k] == 1e18 || g[0][i - 1][j - k] == 1e18) continue; long long left = Sb[i] * k - g[1][i][k] * K; if (left % K + b[i] * (j - k) <= c[i]) { long long x = Sb[i - 1] * (j - k) - g[0][i - 1][j - k] * K, y = left + b[i] * (j - k), z = std::max((y - c[i] + K - 1) / K, 0ll); g[0][i][j] = std::min(g[0][i][j], g[1][i][k] + g[0][i - 1][j - k] + z); if (((x + K - 1) / K) * K <= x + y - z * K) g[1][i][j] = std::min(g[1][i][j], g[1][i][k] + g[0][i - 1][j - k] + z + (x + K - 1) / K); } } if (g[0][i - 1][j] != 1e18) { long long left = b[i] * j; if (left <= c[i]) { long long x = Sb[i - 1] * j - g[0][i - 1][j] * K, y = left, z = std::max((y - c[i] + K - 1) / K, 0ll); g[0][i][j] = std::min(g[0][i][j], g[0][i - 1][j]); if (((x + K - 1) / K) * K <= x + y) g[1][i][j] = std::min(g[1][i][j], g[0][i - 1][j] + (x + K - 1) / K); } } } for (long long i = 1; i <= n; i++) for (long long j = 0; j <= t; j++) { f[0][i][j] = f[1][i][j] = 1e18; for (long long k = 0; k < j; k++) { if (f[1][i][k] == 1e18 || g[0][i - 1][j - k] == 1e18) continue; long long left = Sa[i] + Sb[i] * k - f[1][i][k] * K; if (left % K + b[i] * (j - k) <= c[i]) { long long x = Sb[i - 1] * (j - k) - g[0][i - 1][j - k] * K, y = left + b[i] * (j - k), z = std::max((y - c[i] + K - 1) / K, 0ll); f[0][i][j] = std::min(f[0][i][j], f[1][i][k] + g[0][i - 1][j - k] + z); if (((x + K - 1) / K) * K <= x + y - z * K) f[1][i][j] = std::min(f[1][i][j], f[1][i][k] + g[0][i - 1][j - k] + z + (x + K - 1) / K); } } if (f[0][i - 1][j] != 1e18) { long long left = a[i] + b[i] * j; if (left <= c[i]) { long long x = Sa[i - 1] + Sb[i - 1] * j - f[0][i - 1][j] * K, y = left, z = std::max((y - c[i] + K - 1) / K, 0ll); f[0][i][j] = std::min(f[0][i][j], f[0][i - 1][j]); if (((x + K - 1) / K) * K <= x + y) f[1][i][j] = std::min(f[1][i][j], f[0][i - 1][j] + (x + K - 1) / K); } } } printf("%lld\n", f[0][n][t]); }
#include <bits/stdc++.h> using namespace std; const int N = 210; const long long inf = 1e15; int n, K, t; long long a[N], b[N], c[N], A[N], B[N], C[N], f[N][N][2], g[N][N][2]; int main() { scanf("%d%d%d", &n, &t, &K); for (int i = (1); i <= (n); ++i) scanf("%lld%lld%lld", a + i, b + i, c + i); ++n; a[n] = c[n] = inf; for (int i = (1); i <= (n); ++i) A[i] = a[i] + A[i - 1], B[i] = b[i] + B[i - 1]; for (int p = (1); p <= (n); ++p) for (int s = (0); s <= (t); ++s) for (int z = (0); z <= (1); ++z) f[p][s][z] = g[p][s][z] = inf; for (int p = (1); p <= (n); ++p) for (int s = (0); s <= (t); ++s) for (int z = (0); z <= (1); ++z) { if (f[p - 1][s][z] != inf && a[p] * z + b[p] * s <= c[p]) { f[p][s][z] = min(f[p - 1][s][z], f[p][s][z]); long long x = (z * A[p - 1] + s * B[p - 1] + K - 1) / K; if (x * K <= z * A[p] + s * B[p]) g[p][s][z] = min(g[p][s][z], x); } for (int r = (0); r <= (s - 1); ++r) if (g[p][r][z] != inf) { long long m = z * A[p] + r * B[p] - K * g[p][r][z], x = (max(m + (s - r) * b[p] - c[p], 0ll) + K - 1) / K; if (x * K <= m && f[p - 1][s - r][0] != inf) { long long y = ((s - r) * B[p - 1] + K - 1) / K; f[p][s][z] = min(f[p][s][z], g[p][r][z] + x + f[p - 1][s - r][0]); if (y * K <= (s - r) * B[p] + m - x * K) g[p][s][z] = min(g[p][s][z], g[p][r][z] + x + y); } } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> void read(T &x) { x = 0; char ch = getchar(); int fh = 1; while (ch < '0' || ch > '9') { if (ch == '-') fh = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') x = x * 10 + ch - '0', ch = getchar(); x *= fh; } struct Info { long long a, b, c; } a[210], s[210]; long long n, t, K, f[210][210][2], g[210][210][2]; long long ne(long long x) { return x / K + (x % K != 0); } int main() { read(n); read(t); read(K); for (int i = 1; i <= n; i++) { read(a[i].a); read(a[i].b); read(a[i].c); } a[n + 1].a = 1e17; a[n + 1].c = 1e17 * 2; for (int i = 1; i <= n + 1; i++) { s[i].a = s[i - 1].a + a[i].a; s[i].b = s[i - 1].b + a[i].b; s[i].c = s[i - 1].c + a[i].c; } for (int i = 1; i <= n + 1; i++) for (int j = 0; j <= t; j++) f[i][j][0] = f[i][j][1] = g[i][j][0] = g[i][j][1] = 1e17; for (int i = 1; i <= n + 1; i++) { f[i][0][0] = f[i][0][1] = g[i][0][0] = 0; if (ne(s[i - 1].a) * K <= s[i].a) g[i][0][1] = ne(s[i - 1].a); else g[i][0][1] = 1e17; } for (int i = 1; i <= n + 1; i++) { for (int j = 1; j <= t; j++) { for (int k = 0; k <= 1; k++) { if (j * a[i].b + a[i].a * k <= a[i].c) { if (f[i - 1][j][k] != 1e17) { f[i][j][k] = min(f[i][j][k], f[i - 1][j][k]); long long su = ne(s[i - 1].a * k + s[i - 1].b * j); if (su * K <= s[i].a * k + s[i].b * j) g[i][j][k] = min(g[i][j][k], su); } } for (int lt = 0; lt < j; lt++) { if (g[i][lt][k] != 1e17) { long long x = lt * s[i].b + s[i].a * k - g[i][lt][k] * K; long long y = a[i].c - (j - lt) * a[i].b - (x % K); if (y < 0) continue; long long z = min(x, (x % K) + (y / K) * K); long long no = (x - z) / K; if (f[i - 1][j - lt][0] != 1e17) { f[i][j][k] = min(f[i][j][k], g[i][lt][k] + no + f[i - 1][j - lt][0]); long long n1 = ne(s[i - 1].b * (j - lt)); if (n1 * K <= s[i].b * (j - lt) + z) g[i][j][k] = min(g[i][j][k], g[i][lt][k] + no + n1); } } } } } } cout << f[n + 1][t][1] << endl; return 0; }
#include <bits/stdc++.h> const int N = 254; const long long INF = 0x3f3f3f3f3f3f3f3fll; int n, t, K; int a[N], d[N]; long long A[N], D[N], lim[N]; long long f[N][N][2], g[N][N][2]; inline void down(long long &x, const long long y) { x > y ? x = y : 0; } inline long long max(const long long x, const long long y) { return x < y ? y : x; } int main() { int i, j, k, r; long long times, time2, rem, need; scanf("%d%d%d", &n, &t, &K); for (i = 1; i <= n; ++i) scanf("%d%d%lld", a + i, d + i, lim + i); ++n, a[n] = d[n] = INT_MAX, lim[n] = INF; for (i = 1; i <= n; ++i) A[i] = A[i - 1] + a[i], D[i] = D[i - 1] + d[i]; memset(f, 63, sizeof f), memset(g, 63, sizeof g); memset(f, 0, sizeof *f), memset(g, 0, sizeof *g); for (i = 1; i <= n; ++i) for (j = 0; j <= t; ++j) for (k = 0; k < 2; ++k) { if ((long long)k * a[i] + (long long)j * d[i] <= lim[i] && f[i - 1][j][k] < INF) { down(f[i][j][k], f[i - 1][j][k]), times = (k * A[i - 1] + j * D[i - 1] + K - 1) / K; if (times * K <= k * A[i] + j * D[i]) down(g[i][j][k], times); } for (r = 0; r < j; ++r) if ((times = g[i][r][k]) < INF) { rem = k * A[i] + r * D[i] - K * times, assert(rem >= 0); need = (max(0, rem + (long long)(j - r) * d[i] - lim[i]) + K - 1) / K; if (need * K <= rem && f[i - 1][j - r][0] < INF) { down(f[i][j][k], times + need + f[i - 1][j - r][0]); time2 = ((j - r) * D[i - 1] + K - 1) / K; if (time2 * K <= (j - r) * D[i] + (rem - need * K)) down(g[i][j][k], times + need + time2); } } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; long long f[203][203][2], g[203][203][2], A[203], B[203], C[203], SA[203], SB[203], N, T, K; int main() { cin >> N >> T >> K; for (int i = 1; i <= N; ++i) cin >> A[i] >> B[i] >> C[i]; ++N; A[N] = C[N] = 1e15; memset(f, 0x3f, sizeof(f)); memset(g, 0x3f, sizeof(g)); for (int i = 1; i <= N; ++i) { SA[i] = SA[i - 1] + A[i]; SB[i] = SB[i - 1] + B[i]; } memset(f[0], 0, sizeof(f[0])); memset(g[0], 0, sizeof(g[0])); for (int i = 1; i <= N; ++i) for (int j = 0; j <= T; ++j) for (int k = 0; k <= 1; ++k) { if (k * A[i] + B[i] * j <= C[i] && f[i - 1][j][k] <= 1e15) { f[i][j][k] = f[i - 1][j][k]; long long vl = (k * SA[i - 1] + j * SB[i - 1] + K - 1) / K; if (vl * K <= k * SA[i] + j * SB[i]) g[i][j][k] = vl; } for (int l = 0; l < j; ++l) { long long stp = g[i][l][k]; if (stp > 1e15) continue; long long lft = SA[i] * k + SB[i] * l - stp * K, need = max((lft + (j - l) * B[i] - C[i] + K - 1) / K, 0ll); if (need * K > lft) continue; if (f[i - 1][j - l][0] > 1e15) continue; f[i][j][k] = min(f[i][j][k], stp + need + f[i - 1][j - l][0]); long long vl = ((j - l) * SB[i - 1] + K - 1) / K; if (vl * K > lft - need * K + vl * SB[i]) continue; g[i][j][k] = min(g[i][j][k], stp + need + vl); } } cout << f[N][T][1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1ll << 60; int n, t, k; long long a[310], b[310], c[310], sa[310], sb[310], sc[310]; long long f[310][310][2], g[310][310][2]; int main() { scanf("%d%d%d", &n, &t, &k); for (int i = 1; i <= n; i++) scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); n++; a[n] = INF; b[n] = 0; c[n] = INF; for (int i = 1; i <= n; i++) { sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; sc[i] = sc[i - 1] + c[i]; } for (int i = 1; i <= n; i++) { for (int j = 0; j <= t; j++) { for (int z = 0; z <= 1; z++) { f[i][j][z] = INF; g[i][j][z] = INF; if (f[i - 1][j][z] != INF && a[i] * z + b[i] * j <= c[i]) { f[i][j][z] = f[i - 1][j][z]; long long val = (z * sa[i - 1] + j * sb[i] + k - 1) / k; if (val * k <= z * sa[i] + j * sb[i]) g[i][j][z] = val; } for (int r = 0; r < j; r++) { if (g[i][r][z] == INF) continue; long long rem = z * sa[i] + r * sb[i] - k * g[i][r][z]; long long x = (max(0ll, rem + (j - r) * b[i] - c[i]) + k - 1) / k; if (x * k > rem) continue; if (f[i - 1][j - r][0] == INF) continue; f[i][j][z] = min(f[i][j][z], g[i][r][z] + x + f[i - 1][j - r][0]); long long val = ((j - r) * sb[i - 1] + k - 1) / k; if (val * k > (j - r) * sb[i] + rem - x * k) continue; g[i][j][z] = min(g[i][j][z], g[i][r][z] + x + val); } } } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> void openFile() { freopen("train.in", "r", stdin); freopen("train.out", "w", stdout); } inline int read() { char c; int x; for (c = getchar(); !isdigit(c); c = getchar()) ; for (x = 0; isdigit(c); c = getchar()) { x = x * 10 + c - '0'; } return x; } const int N = 205; int n, m, k, a[N], b[N], c[N]; long long ans, d[N], f[N]; bool check() { for (int i = 0; i < n; i++) { f[i] = a[i]; } for (int i = 0; i < m; i++) { long long p = k * d[i], e; for (int j = 0; j < n; j++) { e = std::min(f[j], p); f[j] -= e; p -= e; f[j] += b[j]; if (f[j] > c[j]) { return false; } } } return true; } int main() { n = read(); m = read(); k = read(); for (int i = 0; i < n; i++) { a[i] = read(); b[i] = read(); c[i] = read(); } for (int i = 0; i < m; i++) { d[i] = 3e18 / k; } for (int i = m - 1; i >= 0; i--) { long long res = 0; for (long long l = 0, r = d[i], mid; l <= r;) { mid = l + r >> 1; d[i] = mid; if (check()) { r = mid - 1; res = mid; } else { l = mid + 1; } } d[i] = res; ans += d[i]; } printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> using std::partial_sum; using i64 = long long; const int N = 253; const i64 inf = 0x3f3f3f3f3f3f3f3fll; int read() { int x; scanf("%d", &x); return x; } i64 a[N], b[N], A[N], B[N], lim[N], f[N][N][2], g[N][N][2]; i64 max(i64 a, i64 b) { return a > b ? a : b; } void min(i64& a, i64 b) { a > b ? a = b : 0; } int main() { int n = read(), t = read(), K = read(); for (int i = 1; i <= n; ++i) a[i] = read(), b[i] = read(), lim[i] = read(); ++n, a[n] = b[n] = 2e9, lim[n] = inf, partial_sum(a + 1, a + n + 1, A + 1), partial_sum(b + 1, b + n + 1, B + 1); memset(f, 63, sizeof f), memset(g, 63, sizeof g), memset(f[0], 0, sizeof f[0]), memset(g[0], 0, sizeof g[0]); for (int i = 1; i <= n; ++i) for (int j = 0; j <= t; ++j) for (int k = 0; k < 2; ++k) { i64 c1, c2, s1, s2; if (k * a[i] + j * b[i] <= lim[i] && f[i - 1][j][k] < inf) { min(f[i][j][k], f[i - 1][j][k]), c1 = (k * A[i - 1] + j * B[i - 1] + K - 1) / K; if (c1 * K <= k * A[i] + j * B[i]) min(g[i][j][k], c1); } for (int l = 0; l < j; ++l) if ((c1 = g[i][l][k]) < inf) { s1 = k * A[i] + l * B[i] - K * c1, s2 = (max(0, s1 + (j - l) * b[i] - lim[i]) + K - 1) / K; if (s2 * K <= s1 && f[i - 1][j - l][0] < inf) { min(f[i][j][k], c1 + s2 + f[i - 1][j - l][0]), c2 = ((j - l) * B[i - 1] + K - 1) / K; if (c2 * K <= (j - l) * B[i] + (s1 - s2 * K)) min(g[i][j][k], c1 + s2 + c2); } } } printf("%lld", f[n][t][1]); }
#include <bits/stdc++.h> using namespace std; const int maxn = 205; inline int gi() { char c = getchar(); while (c < '0' || c > '9') c = getchar(); int sum = 0; while ('0' <= c && c <= '9') sum = sum * 10 + c - 48, c = getchar(); return sum; } inline void chkmin(long long &a, long long b) { if (a > b) a = b; } int n, t, K; long long Inf, a[2][maxn], b[maxn], c[maxn], A[2][maxn], B[maxn], f[maxn][maxn][2], g[maxn][maxn][2]; int main() { n = gi(); t = gi(); K = gi(); for (int i = 1; i <= n; ++i) A[1][i] = A[1][i - 1] + (a[1][i] = gi()), B[i] = B[i - 1] + (b[i] = gi()), c[i] = gi(); ++n; A[1][n] = A[1][n - 1] + (a[1][n] = INT_MAX); B[n] = B[n - 1] + (b[n] = INT_MAX); c[n] = (1ll << 63) - 1; memset(f, 63, sizeof(f)); memset(g, 63, sizeof(g)); Inf = f[0][0][0]; memset(f, 0, sizeof(*f)); memset(g, 0, sizeof(*g)); for (int i = 1; i <= n; ++i) for (int j = 0; j <= t; ++j) for (int k = 0; k < 2; ++k) { long long t1, t2, t3; if (a[k][i] + j * b[i] <= c[i] && f[i - 1][j][k] < Inf) { chkmin(f[i][j][k], f[i - 1][j][k]); t1 = ((A[k][i - 1] + B[i - 1] * j) + K - 1) / K; if (t1 * K <= (A[k][i] + B[i] * j)) chkmin(g[i][j][k], t1); } for (int r = 0; r < j; ++r) if ((t1 = g[i][r][k]) < Inf) { long long rem = (A[k][i] + B[i] * r) - t1 * K; t2 = (max(0ll, rem + (j - r) * b[i] - c[i]) + K - 1) / K; if (t2 * K <= rem && f[i - 1][j - r][0] < Inf) { chkmin(f[i][j][k], f[i - 1][j - r][0] + t1 + t2); t3 = ((j - r) * B[i - 1] + K - 1) / K; if (t3 * K <= (j - r) * B[i] + (rem - t2 * K)) chkmin(g[i][j][k], t1 + t2 + t3); } } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 200 + 10; const long long inf = 1ll << 50; int rd() { int x = 0, w = 1; char ch = 0; while (ch < '0' || ch > '9') { if (ch == '-') w = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + (ch ^ 48); ch = getchar(); } return x * w; } long long m, a[N], b[N], sa[N], sb[N], c[N], f[N][N][2], g[N][N][2]; int n, t; int main() { n = rd(), t = rd(), m = rd(); for (int i = 1; i <= n; ++i) { a[i] = rd(), b[i] = rd(), c[i] = rd(); sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; } ++n, a[n] = b[n] = 1ll << 35, sa[n] = sa[n - 1] + a[n], sb[n] = sb[n - 1] + b[n], c[n] = 1ll << 50; memset(f, 0x3f3f3f, sizeof(f)), memset(g, 0x3f3f3f, sizeof(g)); for (int j = 0; j <= t; ++j) f[0][j][0] = f[0][j][1] = g[0][j][0] = g[0][j][1] = 0; for (int i = 1; i <= n; ++i) for (int j = 0; j <= t; ++j) for (int k = 0; k <= 1; ++k) { if (a[i] * k + b[i] * j <= c[i] && f[i - 1][j][k] < inf) { f[i][j][k] = f[i - 1][j][k]; long long nm = sa[i - 1] * k + sb[i - 1] * j, lm = sa[i] * k + sb[i] * j; if ((nm + m - 1) / m * m <= lm) g[i][j][k] = (nm + m - 1) / m; } for (int l = 0; l < j; ++l) { if (g[i][l][k] > inf || f[i - 1][j - l][0] > inf) continue; long long rs = sa[i] * k + sb[i] * l - g[i][l][k] * m, xx = (max(rs + b[i] * (j - l) - c[i], 0ll) + m - 1) / m; if (rs < 0 || xx * m > rs) continue; f[i][j][k] = min(f[i][j][k], g[i][l][k] + xx + f[i - 1][j - l][0]); long long nm = sb[i - 1] * (j - l), lm = nm + b[i] * (j - l) + rs - xx * m; if ((nm + m - 1) / m * m <= lm) g[i][j][k] = min(g[i][j][k], g[i][l][k] + xx + (nm + m - 1) / m); } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; long long a[300], b[300], c[300], sa[300], sb[300]; long long f[300][300][2], g[300][300][2]; int main() { int n, t, k; cin >> n >> t >> k; for (int i = 1; i <= n; i++) { scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } n++; a[n] = c[n] = (1LL << 50); sa[n] = a[n] + sa[n - 1]; for (int i = 1; i <= n; i++) { for (int j = 0; j <= t; j++) { for (int z = 0; z <= 1; z++) { f[i][j][z] = g[i][j][z] = (1LL << 50); if (z * a[i] + j * b[i] <= c[i] && f[i - 1][j][z] != (1LL << 50)) { f[i][j][z] = f[i - 1][j][z]; long long v = ((z * sa[i - 1] + j * sb[i - 1]) + k - 1) / k; if (v * k <= z * sa[i] + j * sb[i]) g[i][j][z] = v; } for (int r = 0; r < j; r++) { if (g[i][r][z] == (1LL << 50)) continue; long long re = sa[i] * z + sb[i] * r - g[i][r][z] * k; long long v = (max(0LL, (j - r) * b[i] + re - c[i]) + k - 1) / k; if (v * k <= re && f[i - 1][j - r][0] != (1LL << 50)) { f[i][j][z] = min(f[i][j][z], g[i][r][z] + v + f[i - 1][j - r][0]); long long u = (sb[i - 1] * (j - r) + k - 1) / k; if (u * k <= sb[i] * (j - r) + re - v * k) g[i][j][z] = min(g[i][j][z], g[i][r][z] + v + u); } } } } } cout << f[n][t][1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; long long a[300], b[300], c[300], sa[300], sb[300]; long long f[300][300][2], g[300][300][2]; int main() { int n, t, k; cin >> n >> t >> k; for (int i = 1; i <= n; i++) { scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } n++; a[n] = c[n] = (1LL << 50); sa[n] = a[n] + sa[n - 1]; for (int i = 1; i <= n; i++) { for (int j = 0; j <= t; j++) { for (int z = 0; z <= 1; z++) { f[i][j][z] = g[i][j][z] = (1LL << 50); if (z * a[i] + j * b[i] <= c[i] && f[i - 1][j][z] != (1LL << 50)) { f[i][j][z] = f[i - 1][j][z]; long long v = ((z * sa[i - 1] + j * sb[i - 1]) + k - 1) / k; if (v * k <= z * sa[i] + j * sb[i]) g[i][j][z] = v; } for (int r = 0; r < j; r++) { if (g[i][r][z] == (1LL << 50)) continue; long long re = sa[i] * z + sb[i] * r - g[i][r][z] * k; long long v = (max(0LL, (j - r) * b[i] + re - c[i]) + k - 1) / k; if (v * k <= re && f[i - 1][j - r][0] != (1LL << 50)) { f[i][j][z] = min(f[i][j][z], g[i][r][z] + v + f[i - 1][j - r][0]); long long u = (sb[i - 1] * (j - r) + k - 1) / k; if (u * k <= sb[i] * (j - r) + re - v * k) g[i][j][z] = min(g[i][j][z], g[i][r][z] + v + u); } } } } } cout << f[n][t][1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; char buf[25]; const long long inf = 0x3f3f3f3f3f3f3f3f; const int maxn = 210; long long f[maxn][maxn][2], g[maxn][maxn][2]; long long a[maxn], b[maxn], c[maxn], s1[maxn], s2[maxn]; long long n, t, k; long long read() { long long x = 0, f = 0; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = 1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = (x << 1) + (x << 3) + (ch ^ 48); ch = getchar(); } return f ? -x : x; } void write(long long x) { if (!x) { putchar('0'); return; } if (x < 0) { putchar('-'); x = -x; } int cnt = 0; while (x) { buf[++cnt] = '0' + x % 10; x /= 10; } for (int i = cnt; i >= 1; --i) putchar(buf[i]); } long long Div(long long x, long long y) { return x % y == 0 ? x / y : x / y + 1; } int main() { int tta = 1, ttb = 2; for (int i = 1; i <= 100; ++i) { tta += ttb; } for (int i = 1; i <= 100; ++i) { tta -= ttb; } n = read(); t = read(); k = read(); if (k < 0) { write(tta); putchar(' '); write(ttb); putchar('\n'); } if (tta < 0 || ttb < 0) ++k; for (int i = 1; i <= n; ++i) { a[i] = read(); b[i] = read(); c[i] = read(); } ++n; a[n] = b[n] = INT_MAX; c[n] = inf; for (int i = 1; i <= n; ++i) { s1[i] = s1[i - 1] + a[i]; s2[i] = s2[i - 1] + b[i]; } memset(f, 63, sizeof(f)); memset(g, 63, sizeof(g)); for (int i = 0; i <= t; ++i) f[0][i][0] = f[0][i][1] = g[0][i][0] = g[0][i][1] = 0; for (int i = 1; i <= n; ++i) for (int j = 0; j <= t; ++j) for (int l = 0; l <= 1; ++l) { if (l * a[i] + j * b[i] <= c[i] && f[i - 1][j][l] < inf) { f[i][j][l] = f[i - 1][j][l]; long long L = l * s1[i - 1] + j * s2[i - 1]; if (Div(L, k) * k <= l * s1[i] + j * s2[i]) g[i][j][l] = Div(L, k); } for (int r = 0; r <= j - 1; ++r) if (g[i][r][l] < inf) { long long rem = l * s1[i] + r * s2[i] - k * g[i][r][l], need = Div(max(rem + (j - r) * b[i] - c[i], 0ll), k); if (rem < 0) continue; if (need * k <= rem && f[i - 1][j - r][0] < inf) { f[i][j][l] = min(f[i][j][l], g[i][r][l] + need + f[i - 1][j - r][0]); long long L = (j - r) * s2[i - 1]; if (Div(L, k) * k <= (j - r) * s2[i] + (rem - need * k)) g[i][j][l] = min(g[i][j][l], g[i][r][l] + need + Div(L, k)); } } } write(f[n][t][1]); putchar('\n'); return 0; }
#include <bits/stdc++.h> inline void chkmin(long long& a, long long b) { if (a > b) a = b; } const int N = 205; const long long INF = 0x3f3f3f3f3f3f3f3fll; int n, t, K, a[N], b[N]; long long sa[N], sb[N], c[N], f[N][N][2], g[N][N][2]; int main() { scanf("%d%d%d", &n, &t, &K); long long times, rem, need, times2; for (int i = 1; i <= n; ++i) scanf("%d%d%lld", &a[i], &b[i], &c[i]); ++n; a[n] = b[n] = INT_MAX; c[n] = INF; for (int i = 1; i <= n; ++i) sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; memset(f, 0x3f, sizeof(f)); memset(f[0], 0, sizeof(f[0])); memset(g, 0x3f, sizeof(f)); memset(g[0], 0, sizeof(g[0])); for (int i = 1; i <= n; ++i) for (int j = 0; j <= t; ++j) for (int k = 0; k < 2; ++k) { if ((long long)k * a[i] + (long long)j * b[i] <= c[i] && f[i - 1][j][k] < INF) { chkmin(f[i][j][k], f[i - 1][j][k]); times = (k * sa[i - 1] + j * sb[i - 1] + K - 1) / K; if (times * K <= k * sa[i] + j * sb[i]) chkmin(g[i][j][k], times); } for (int r = 0; r < j; ++r) if ((times = g[i][r][k]) < INF) { rem = k * sa[i] + r * sb[i] - times * K; need = (std::max(0ll, rem + (long long)(j - r) * b[i] - c[i]) + K - 1) / K; if (need * K <= rem && f[i - 1][j - r][0] < INF) { chkmin(f[i][j][k], times + need + f[i - 1][j - r][0]); times2 = ((j - r) * sb[i - 1] + K - 1) / K; if (times2 * K <= (j - r) * sb[i] + (rem - need * K)) { chkmin(g[i][j][k], times + need + times2); } } } } return printf("%lld\n", f[n][t][1]), 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> void maxtt(T& t1, T t2) { t1 = max(t1, t2); } template <typename T> void mintt(T& t1, T t2) { t1 = min(t1, t2); } bool debug = 0; int n, m, k; int dx[4] = {0, 1, 0, -1}, dy[4] = {1, 0, -1, 0}; string direc = "RDLU"; long long ln, lk, lm; void etp(bool f = 0) { puts(f ? "YES" : "NO"); exit(0); } void addmod(int& x, int y, int mod = 998244353) { assert(y >= 0); x += y; if (x >= mod) x -= mod; assert(x >= 0 && x < mod); } void et(int x = -1) { printf("%d\n", x); exit(0); } long long fastPow(long long x, long long y, int mod = 998244353) { long long ans = 1; while (y > 0) { if (y & 1) ans = (x * ans) % mod; x = x * x % mod; y >>= 1; } return ans; } long long gcd1(long long x, long long y) { return y ? gcd1(y, x % y) : x; } int t; long long a[205], b[205], c[205]; long long sa[205], sb[205]; long long f[205][205][2], g[205][205][2]; void fmain(int ID) { scanf("%d%d%d", &n, &t, &k); for (int(i) = 1; (i) <= (int)(n); (i)++) { scanf("%lld%lld%lld", a + i, b + i, c + i); } n++; a[n] = (1 << 30); b[n] = (1 << 30); c[n] = (1LL << 60); for (int(i) = 1; (i) <= (int)(n); (i)++) { sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } for (int(i) = 0; (i) < (int)(205); (i)++) for (int(j) = 0; (j) < (int)(205); (j)++) for (int(z) = 0; (z) < (int)(2); (z)++) { f[i][j][z] = g[i][j][z] = (1LL << 60); } for (int(j) = 0; (j) < (int)(205); (j)++) for (int(z) = 0; (z) < (int)(2); (z)++) f[0][j][z] = g[0][j][z] = 0; for (int(i) = 1; (i) <= (int)(n); (i)++) { for (int j = 0; j <= t; j++) for (int(z) = 0; (z) < (int)(2); (z)++) { if (a[i] * z + b[i] * j <= c[i] && f[i - 1][j][z] < (1LL << 60)) { mintt(f[i][j][z], f[i - 1][j][z]); long long cnt = (sa[i - 1] * z + sb[i - 1] * j + k - 1) / k; if (cnt * k <= sa[i] * z + sb[i] * j) mintt(g[i][j][z], cnt); } for (int r = 0; r < j; r++) { long long cnt = g[i][r][z]; if (cnt == (1LL << 60)) continue; long long rem = sa[i] * z + sb[i] * r - cnt * k; assert(0 <= rem); long long need = (max(0LL, rem + b[i] * (j - r) - c[i]) + k - 1) / k; if (need * k <= rem && f[i - 1][j - r][0] < (1LL << 60)) { mintt(f[i][j][z], cnt + need + f[i - 1][j - r][0]); long long n2 = (sb[i - 1] * (j - r) + k - 1) / k; if (n2 * k <= sb[i] * (j - r) + rem - need * k) { mintt(g[i][j][z], cnt + need + n2); } } } } } printf("%lld\n", f[n][t][1]); } int main() { int t = 1; for (int(i) = 1; (i) <= (int)(t); (i)++) { fmain(i); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 210; const long long INF = 1ll << 60; int n, t, k; long long f[MAXN][MAXN][2][2], lim[MAXN], dlt[MAXN], beg[MAXN], sdlt[MAXN], sbeg[MAXN]; void upd(long long &x, long long y) { if (y < x) x = y; } long long Ceil(long long x, long long y) { return (x + y - 1) / y; } int main() { scanf("%d%d%d", &n, &t, &k); for (int i = 1; i <= n; i++) scanf("%lld%lld%lld", &beg[i], &dlt[i], &lim[i]); ++n; lim[n] = 1ll * (t + 1) * k; beg[n] = dlt[n] = k; for (int i = 1; i <= n; i++) { sbeg[i] = sbeg[i - 1] + beg[i]; sdlt[i] = sdlt[i - 1] + dlt[i]; } for (int i = 0; i <= n; i++) for (int j = 0; j <= t; j++) for (int x = 0; x < 2; x++) for (int y = 0; y < 2; y++) f[i][j][x][y] = INF; for (int i = 0; i <= n; i++) f[i][0][0][0] = f[i][0][0][1] = 0; for (int i = 0; i <= t; i++) f[0][i][0][0] = f[0][i][0][1] = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= t; j++) for (int y = 0; y < 2; y++) { if (y * beg[i] + (j - 1) * dlt[i] <= lim[i] && f[i - 1][j - 1][0][y] != INF) { long long t1 = y * beg[i] + (j - 1) * dlt[i], t2 = y * sbeg[i - 1] + (j - 1) * sdlt[i - 1] - f[i - 1][j - 1][0][y] * k; long long cost = t2 / k + 1; if (cost * k - t2 <= t1) upd(f[i][j][1][y], f[i - 1][j - 1][0][y] + cost); } for (int r = 1; r < j; r++) if (f[i][r][1][y] != INF && f[i - 1][j - r][0][0] != INF) { long long t1 = y * sbeg[i] + (r - 1) * sdlt[i] - f[i][r][1][y] * k; long long t2 = (j - r) * dlt[i], cost1 = 0; if (t1 + t2 > lim[i]) { cost1 = Ceil(t1 + t2 - lim[i], k); if (cost1 * k > t1) continue; t1 -= cost1 * k; } t1 += t2; long long t3 = (j - r) * sdlt[i - 1] - f[i - 1][j - r][0][0] * k; long long cost2 = t3 / k + 1; long long now = k * cost2 - t3; if (now <= t1) upd(f[i][j][1][y], f[i][r][1][y] + f[i - 1][j - r][0][0] + cost1 + cost2); } if (y * beg[i] + j * dlt[i] <= lim[i] && f[i - 1][j][0][y] != INF) upd(f[i][j][0][y], f[i - 1][j][0][y]); for (int r = y ? 1 : 2; r <= j; r++) if (f[i][r][1][y] != INF && f[i][j - r + 1][0][0] != INF) { long long t1 = y * sbeg[i] + (r - 1) * sdlt[i] - f[i][r][1][y] * k, cost = 0; long long t2 = (j - r + 1) * dlt[i]; if (t1 + t2 > lim[i]) { long long cost2 = Ceil(t1 + t2 - lim[i], k); if (cost2 * k > t1) continue; t1 -= cost2 * k; cost += cost2; } upd(f[i][j][0][y], f[i][r][1][y] + f[i][j - r + 1][0][0] + cost); } } printf("%lld\n", f[n][t][0][1] == INF ? -1 : f[n][t][0][1]); }
#include <bits/stdc++.h> const int maxn = 210, maxt = 210; const long long inf = 1ll << 60; int n, t, k, a[maxn], b[maxn], c[maxn]; long long f[maxn][maxt][2], g[maxn][maxt][2]; long long min(long long a, long long b) { return a < b ? a : b; } long long max(long long a, long long b) { return a > b ? a : b; } int main() { scanf("%d%d%d", &n, &t, &k); for (int i = 1; i <= n; i++) scanf("%d%d%d", a + i, b + i, c + i); long long sa = 0, sb = 0; for (int i = 1; i <= n + 1; i++) { sa += a[i]; sb += b[i]; f[i][0][0] = sb; g[i][0][0] = b[i]; f[i][0][1] = sa; g[i][0][1] = a[i]; for (int j = 1; j <= t; j++) { for (int ty = 0; ty < 2; ty++) { f[i][j][ty] = g[i][j][ty] = -inf; long long z = ty ? a[i] + 1ll * b[i] * j : b[i] * (j + 1ll); if (z <= c[i] && g[i - 1][j][ty] > -1) { f[i][j][ty] = f[i - 1][j][ty] + z; g[i][j][ty] = z; } for (int l = 1; l <= j; l++) { int r = ty ? (sa + sb * (l - 1)) % k : sb * l % k; if (i > n || g[i][l - 1][ty] >= r && r + b[i] * (j - l + 1ll) <= c[i]) { long long x = min(c[i] - b[i] * (j - l + 1), g[i][l - 1][ty]) - r; if (x < 0 && x % k != 0) x = x / k - 1; else x = x / k; x = x * k + r + b[i] * (j - l + 1); if (g[i - 1][j - l][0] > -1) { f[i][j][ty] = max(f[i][j][ty], x + f[i - 1][j - l][0]); g[i][j][ty] = max(g[i][j][ty], x); } } } } } } printf("%lld\n", (sa + sb * t - f[n + 1][t][1]) / k); }
#include <bits/stdc++.h> using namespace std; const int _ = 200 + 7; const long long inf = 1e15; int n, T, K; long long a[_], b[_], c[_], sa[_], sb[_], d[_][_][2], g[_][_][2]; long long Ceil(long long x, long long y) { return x % y ? x / y + 1 : x / y; } void upd(long long &x, long long y) { x = min(x, y); } int main() { cin >> n >> T >> K; for (int i = 1; i <= n; ++i) { cin >> a[i] >> b[i] >> c[i]; sa[i] = sa[i - 1] + a[i]; sb[i] = sb[i - 1] + b[i]; } a[++n] = inf, c[n] = inf; sa[n] = sa[n - 1] + a[n]; for (int p = 1; p <= n; ++p) for (int s = 0; s <= T; ++s) for (int z = 0; z <= 1; ++z) d[p][s][z] = g[p][s][z] = inf; for (int p = 1; p <= n; ++p) for (int s = 0; s <= T; ++s) for (int z = 0; z <= 1; ++z) { if (z * a[p] + s * b[p] <= c[p] and d[p - 1][s][z] != inf) { upd(d[p][s][z], d[p - 1][s][z]); long long num = Ceil(z * sa[p - 1] + s * sb[p - 1], K); if (num * K <= z * sa[p] + s * sb[p]) upd(g[p][s][z], num); } for (int r = 0; r < s; ++r) if (g[p][r][z] != inf and d[p - 1][s - r][0] != inf) { long long m = z * sa[p] + r * sb[p] - K * g[p][r][z]; long long x = Ceil(max(0ll, m + (s - r) * b[p] - c[p]), K); if (K * x <= m) { upd(d[p][s][z], g[p][r][z] + x + d[p - 1][s - r][0]); long long num = Ceil((s - r) * sb[p - 1], K); upd(g[p][s][z], g[p][r][z] + x + num); } } upd(d[p][s][z], g[p][s][z]); } cout << d[n][T][1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 310; const long long inf = 4e18; long long f[N][N][2], g[N][N][2], a[N], b[N], c[N], sa[N], sb[N]; int n, t, K; long long up(long long x) { if (x <= 0) return 0; return (x + K - 1) / K; } int main() { scanf("%d%d%d", &n, &t, &K); for (int i = 1; i <= n; i++) scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); n++; a[n] = c[n] = inf; for (int i = 1; i <= n; i++) sa[i] = sa[i - 1] + a[i]; for (int i = 1; i <= n; i++) sb[i] = sb[i - 1] + b[i]; for (int i = 1; i <= n; i++) for (int j = 0; j <= t; j++) for (int l = 0; l < 2; l++) { f[i][j][l] = g[i][j][l] = inf; if (c[i] >= j * b[i] + l * a[i] && f[i - 1][j][l] != inf) { f[i][j][l] = f[i - 1][j][l]; g[i][j][l] = up(sa[i - 1] * l + sb[i - 1] * j); if (g[i][j][l] * K > sa[i] * l + sb[i] * j) g[i][j][l] = inf; } for (int k = 0; k < j; k++) if (g[i][k][l] != inf) { long long lft = sa[i] * l + sb[i] * k - g[i][k][l] * K, ct = up(b[i] * (j - k) - c[i] + lft); if ((g[i][k][l] + ct) * K > sa[i] * l + sb[i] * k || f[i - 1][j - k][0] == inf) continue; f[i][j][l] = min(f[i][j][l], g[i][k][l] + ct + f[i - 1][j - k][0]); long long d = up(sb[i - 1] * (j - k)); if ((g[i][k][l] + ct + d) * K <= sa[i] * l + sb[i] * j) g[i][j][l] = min(g[i][j][l], g[i][k][l] + ct + d); } } printf("%lld\n", f[n][t][1]); return 0; }
#include <bits/stdc++.h> using namespace std; inline void cm(long long &x, long long v) { x = min(x, v); } int n, m, K; long long f[212][212], g[212][212], f1[212][212], g1[212][212], a[212], b[212], c[212], sa[212], sb[212]; int main() { memset(f, 0x3f, sizeof(f)); memset(f[0], 0, sizeof(f[0])); memset(g, 0x3f, sizeof(g)); memset(g[0], 0, sizeof(g[0])); memset(f1, 0x3f, sizeof(f1)); memset(f1[0], 0, sizeof(f1[0])); memset(g1, 0x3f, sizeof(g1)); memset(g1[0], 0, sizeof(g1[0])); scanf("%d%d%d", &n, &m, &K); int i, j, k; long long res, v1, v2, s1, s2, l, r; for (i = 1; i <= n; i++) scanf("%lld%lld%lld", &a[i], &b[i], &c[i]); ++n; a[n] = 1e15; b[n] = 0; c[n] = a[n] + 1; for (i = 1; i <= n; i++) sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; for (i = 1; i <= m; i++) { g1[i][0] = g[i][0] = 0; for (j = 1; j <= n; j++) { if (((v1 = g1[i][j - 1]) < 0x3f3f3f3f3f3f3f3f) && (b[j] * i <= c[j])) { g1[i][j] = v1; l = (sb[j - 1] * i + K - 1) / K; r = (sb[j] * i) / K; if (l <= r) g[i][j] = l; } for (k = 0; k < i; k++) if (((v1 = g[k][j]) < 0x3f3f3f3f3f3f3f3f) && ((v2 = g1[i - k][j - 1]) < 0x3f3f3f3f3f3f3f3f)) { s2 = sb[j] * k - v1 * K; l = max(0ll, (s2 + b[j] * (i - k) - c[j] + K - 1) / K); r = s2 / K; res = v1 + v2 + l; if (l <= r) { cm(g1[i][j], res); s1 = sb[j - 1] * (i - k) - v2 * K; s2 += b[j] * (i - k) - l * K; l = (s1 + K - 1) / K; r = (s1 + s2) / K; if (l <= r) cm(g[i][j], res + l); } } } } for (i = 1; i <= n; i++) { f[0][i] = (sa[i - 1] + K - 1) / K; if (sa[i] - K * f[0][i] < 0) f[0][i] = 0x3f3f3f3f3f3f3f3f; } for (i = 1; i <= m; i++) { f1[i][0] = f[i][0] = 0; for (j = 1; j <= n; j++) { if (((v1 = f1[i][j - 1]) < 0x3f3f3f3f3f3f3f3f) && (a[j] + b[j] * i <= c[j])) { f1[i][j] = v1; l = (sa[j - 1] + sb[j - 1] * i + K - 1) / K; r = (sa[j] + sb[j] * i) / K; if (l <= r) f[i][j] = l; } for (k = 0; k < i; k++) if (((v1 = f[k][j]) < 0x3f3f3f3f3f3f3f3f) && ((v2 = g1[i - k][j - 1]) < 0x3f3f3f3f3f3f3f3f)) { s2 = sa[j] + sb[j] * k - v1 * K; l = max(0ll, (s2 + b[j] * (i - k) - c[j] + K - 1) / K); r = s2 / K; res = v1 + v2 + l; if (l <= r) { cm(f1[i][j], res); s1 = sb[j - 1] * (i - k) - v2 * K; s2 += b[j] * (i - k) - l * K; l = (s1 + K - 1) / K; r = (s1 + s2) / K; if (l <= r) cm(f[i][j], res + l); } } } } printf("%lld", f1[m][n]); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 210; int n, T, K, a[maxn]; long long b[maxn], sa[maxn], sb[maxn], c[maxn], f[maxn][maxn][2], g[maxn][maxn][2]; void chk(long long &x, long long y) { if (x > y) x = y; } int main() { scanf("%d %d %d", &n, &T, &K), n++; for (int i = 1; i <= n; i++) { if (i < n) scanf("%d %lld %lld", &a[i], &b[i], &c[i]); else a[i] = b[i] = INT_MAX, c[i] = 1e18; sa[i] = sa[i - 1] + a[i], sb[i] = sb[i - 1] + b[i]; } memset(f, 0x3f, sizeof(f)), memset(f[0], 0, sizeof(f[0])); memset(g, 0x3f, sizeof(g)), memset(g[0], 0, sizeof(g[0])); for (int i = 1; i <= n; i++) { for (int j = 0; j <= T; j++) for (int z : {0, 1}) { if (f[i - 1][j][z] < 1e18 && z * a[i] + j * b[i] <= c[i]) { chk(f[i][j][z], f[i - 1][j][z]); long long num = (z * sa[i - 1] + j * sb[i - 1] + K - 1) / K; if (num * K <= z * sa[i] + j * sb[i]) chk(g[i][j][z], num); } for (int r = 0; r < j; r++) if (g[i][r][z] < 1e18) { long long rem = z * sa[i] + r * sb[i] - K * g[i][r][z]; long long need = (max(0LL, rem + (j - r) * b[i] - c[i]) + K - 1) / K; if (need * K > rem || f[i - 1][j - r][0] > 1e18) continue; chk(f[i][j][z], g[i][r][z] + need + f[i - 1][j - r][0]); long long num = ((j - r) * sb[i - 1] + K - 1) / K; if (num * K <= rem + (j - r) * sb[i] - need * K) chk(g[i][j][z], g[i][r][z] + need + num); } } } printf("%lld\n", f[n][T][1]); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("-O3") using namespace std; inline int read() { int x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } void Out(int x) { if (x > 9) Out(x / 10); putchar('0' + x % 10); } long long gcd(long long x, long long y) { if (!y) return x; return gcd(y, x % y); } long long qpow(long long x, long long y, long long P) { long long re = 1; while (y) { if (y & 1) re = re * x % P; x = x * x % P; y >>= 1; } return re; } const double eps = 1e-6; const long long inf = 1e16; const int P = 998244353; const int N = 200 + 50; int n, t; long long k; long long a[N], b[N], c[N], A[N], B[N]; long long f[N][N][2], g[N][N][2]; int main() { scanf("%d%d%I64d", &n, &t, &k); for (int i = 1; i <= n; ++i) { a[i] = read(); b[i] = read(); c[i] = read(); } ++n; a[n] = c[n] = inf; for (int i = 1; i <= n; ++i) { A[i] = A[i - 1] + a[i]; B[i] = B[i - 1] + b[i]; } long long x, y, u; for (int i = 1; i <= n; ++i) { for (long long j = 0; j <= t; ++j) { for (long long z = 0; z <= 1; ++z) { f[i][j][z] = g[i][j][z] = inf; if (j * b[i] + z * a[i] <= c[i] && f[i - 1][j][z] != inf) { f[i][j][z] = f[i - 1][j][z]; x = (z * A[i - 1] + j * B[i - 1] + k - 1) / k; if (x * k <= z * A[i] + j * B[i]) g[i][j][z] = x; } for (long long r = 0; r < j; ++r) if (g[i][r][z] != inf) { y = A[i] * z + B[i] * r - g[i][r][z] * k; x = (max(0LL, (y + (j - r) * b[i] - c[i])) + k - 1) / k; if (x * k <= y && f[i - 1][j - r][0] != inf) { f[i][j][z] = min(f[i][j][z], g[i][r][z] + x + f[i - 1][j - r][0]); u = (B[i - 1] * (j - r) + k - 1) / k; if (u * k <= B[i] * (j - r) + y - x * k) g[i][j][z] = min(g[i][j][z], g[i][r][z] + x + u); } } } } } cout << f[n][t][1] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; namespace fastExpress { template <typename T> inline T read() { T f = 1, x = 0; char c = getchar(); while (!isdigit(c)) { if (c == '-') f = -1; c = getchar(); } while (isdigit(c)) { x = x * 10 + c - '0'; c = getchar(); } return x * f; } template <typename T> inline void write(T x) { if (x < 0) { putchar('-'); x = -x; } if (x > 9) write(x / 10); putchar(x % 10 + '0'); } template <typename T> inline void print_char(T x, char ch) { write(x), putchar(ch); } template <typename T> inline void char_print(char ch, T x) { putchar(ch); write(x); } template <typename T> inline void print_space(T x) { print_char(x, ' '); } template <typename T> inline void space_print(T x) { char_print(' ', x); } template <typename T> inline void println(T x) { print_char(x, '\n'); } template <typename T> inline void lnprint(T x) { char_print('\n', x); } template <typename T> inline void print_array_in_range1(T* a, int l, int r) { for (int(i) = (l); (i) <= (r); ++(i)) print_char(a[i], " \n"[i == r]); } template <typename T> inline void print_array_in_range2(T* a, int l, int r) { println(r - l + 1), print_array_in_range1(a, l, r); } template <typename T> inline void print_array_in_range3(T* a, int l, int r) { for (int(i) = (r); (i) >= (l); --(i)) print_char(a[i], " \n"[i == l]); } template <typename T> inline void print_array_in_range4(T* a, int l, int r) { println(r - l + 1), print_array_in_range3(a, l, r); } template <typename T> inline void print_array_in_range5(T* a, int l, int r) { for (int(i) = (l); (i) <= (r); ++(i)) println(a[i]); } template <typename T> inline void print_array_in_range6(T* a, int l, int r) { println(r - l + 1), print_array_in_range5(a, l, r); } template <typename T> inline void print_array_in_range7(T* a, int l, int r) { for (int(i) = (r); (i) >= (l); --(i)) println(a[i]); } template <typename T> inline void print_array_in_range8(T* a, int l, int r) { println(r - l + 1), print_array_in_range7(a, l, r); } template <typename T> inline void print_array_in_range9(T* a, int l, int r) { print_space(r - l + 1), print_array_in_range1(a, l, r); } template <typename T> inline void print_array_in_range10(T* a, int l, int r) { print_space(r - l + 1), print_array_in_range3(a, l, r); } template <typename T> inline void print_array_in_range11(T* a, int l, int r) { print_space(r - l + 1), print_array_in_range5(a, l, r); } template <typename T> inline void print_array_in_range12(T* a, int l, int r) { print_space(r - l + 1), print_array_in_range7(a, l, r); } template <typename T> inline void print_array_in_range13(T* a, int l, int r, int n) { println(n), print_array_in_range1(a, l, r); } template <typename T> inline void print_array_in_range14(T* a, int l, int r, int n) { println(n), print_array_in_range1(a, l, r); } template <typename T> inline void print_array_in_range15(T* a, int l, int r, int n) { println(n), print_array_in_range1(a, l, r); } template <typename T> inline void print_array_in_range16(T* a, int l, int r, int n) { println(n), print_array_in_range1(a, l, r); } template <typename T> inline void print_array_in_range17(T* a, int l, int r, int n) { print_space(n), print_array_in_range1(a, l, r); } template <typename T> inline void print_array_in_range18(T* a, int l, int r, int n) { print_space(n), print_array_in_range1(a, l, r); } template <typename T> inline void print_array_in_range19(T* a, int l, int r, int n) { print_space(n), print_array_in_range1(a, l, r); } template <typename T> inline void print_array_in_range20(T* a, int l, int r, int n) { print_space(n), print_array_in_range1(a, l, r); } template <typename T> inline void print_array1(T* a, int n) { print_array_in_range1(a, 1, n); } template <typename T> inline void print_array2(T* a, int n) { println(n), print_array1(a, n); } template <typename T> inline void print_array3(T* a, int n) { print_array_in_range3(a, 1, n); } template <typename T> inline void print_array4(T* a, int n) { println(n), print_array3(a, n); } template <typename T> inline void print_array5(T* a, int n) { print_array_in_range5(a, 1, n); } template <typename T> inline void print_array6(T* a, int n) { println(n), print_array5(a, n); } template <typename T> inline void print_array7(T* a, int n) { print_array_in_range7(a, 1, n); } template <typename T> inline void print_array8(T* a, int n) { println(n), print_array7(a, n); } template <typename T> inline void print_array9(T* a, int n) { print_space(n), print_array1(a, n); } template <typename T> inline void print_array10(T* a, int n) { print_space(n), print_array3(a, n); } template <typename T> inline void print_array11(T* a, int n) { print_space(n), print_array5(a, n); } template <typename T> inline void print_array12(T* a, int n) { print_space(n), print_array7(a, n); } template <typename T> inline void vector_print(vector<T> a, int l, int r) { for (int(i) = (l); (i) <= (r); ++(i)) print_char(a[i], " \n"[i == r]); } template <typename T> inline void map_print(map<T, T> a, int l, int r) { for (int(i) = (l); (i) <= (r); ++(i)) print_char(a[i], " \n"[i == r]); } template <typename T> inline void stack_print(stack<T> a, char ch) { while (!a.empty()) print_char(a.top(), ch), a.pop(); } template <typename T> inline void queue_print(queue<T> a, char ch) { while (!a.empty()) print_char(a.front(), ch), a.pop(); } template <typename T> inline void pq_print(priority_queue<T> a, char ch) { while (!a.empty()) print_char(a.top(), ch), a.pop(); } inline void print_string_in_range(string s, int l, int r) { for (int(i) = (l); (i) <= (r); ++(i)) putchar(s[i]); } inline void print_chars_in_range(char* a, int l, int r) { for (int(i) = (l); (i) <= (r); ++(i)) putchar(a[i]); } inline void print_allstring(string s) { print_string_in_range(s, 0, (int)s.size() - 1); } inline void filein(string s) { freopen((s + ".in").c_str(), "r", stdin); } inline void fileout(string s) { freopen((s + ".out").c_str(), "w", stdout); } inline void file(string s) { filein(s), fileout(s); } } // namespace fastExpress using namespace fastExpress; const int N = 207; const long long inf = 0x3f3f3f3f3f3f3f3fll; int n, t, K, a[N], d[N]; long long suma[N], sumd[N], lim[N], f[N][N][2], g[N][N][2], t1, t2, rem, vis; int main() { n = read<int>(), t = read<int>(), K = read<int>(); for (int(i) = (1); (i) <= (n); ++(i)) a[i] = read<int>(), d[i] = read<int>(), lim[i] = read<long long>(); n++, a[n] = d[n] = 0x3f3f3f3f, lim[n] = inf; for (int(i) = (1); (i) <= (n); ++(i)) suma[i] = suma[i - 1] + a[i], sumd[i] = sumd[i - 1] + d[i]; memset(f, 63, sizeof(f)), memset(g, 63, sizeof(g)); memset(f, 0, sizeof *f), memset(g, 0, sizeof *g); for (int(i) = (1); (i) <= (n); ++(i)) for (int(j) = (0); (j) <= (t); ++(j)) for (int(k) = (0); (k) <= (1); ++(k)) { if (1ll * k * a[i] + 1ll * j * d[i] <= lim[i] && f[i - 1][j][k] < inf) { f[i][j][k] = min(f[i][j][k], f[i - 1][j][k]), t1 = (k * suma[i - 1] + j * sumd[i - 1] + K - 1) / K; if (t1 * K <= k * suma[i] + j * sumd[i]) g[i][j][k] = min(g[i][j][k], t1); } for (int(r) = (0); (r) <= (j - 1); ++(r)) if ((t1 = g[i][r][k]) != inf) { rem = k * suma[i] + r * sumd[i] - K * t1, vis = (max(0ll, rem + 1ll * (j - r) * d[i] - lim[i]) + K - 1) / K; if (vis * K <= rem && f[i - 1][j - r][0] < inf) { f[i][j][k] = min(f[i][j][k], t1 + vis + f[i - 1][j - r][0]), t2 = ((j - r) * sumd[i - 1] + K - 1) / K; if (t2 * K <= (j - r) * sumd[i] + (rem - vis * K)) g[i][j][k] = min(g[i][j][k], t1 + vis + t2); } } } return write(f[n][t][1]), 0; }
#include <bits/stdc++.h> using namespace std; struct station_t { long long a, b, c; }; struct solver_t { vector<station_t> st; int total_ns, total_nt, k; solver_t(const vector<station_t> &_stations, int _nt, int _k) : st(_stations), total_ns(st.size()), total_nt(_nt), k(_k) {} struct dp1_t { long long ntrain; long long total_people; }; struct dp2_t { long long ntrain; long long people_last; }; vector<vector<array<dp1_t, 2>>> dp1_memo; vector<vector<array<dp2_t, 2>>> dp2_memo; dp1_t solve_dp1(int ns, int nt, bool use_a) { dp1_t &res = dp1_memo[ns][nt][use_a]; if (res.ntrain != -1LL) return res; if (ns == 0) return res = {0LL, 0LL}; station_t &last_st = st[ns - 1]; if (nt == 0) { dp1_t sub_res = solve_dp1(ns - 1, 0, use_a); return res = {sub_res.ntrain, sub_res.total_people + (use_a ? last_st.a : last_st.b)}; } res = {LLONG_MAX, -1LL}; { long long final_value = (use_a ? last_st.a : last_st.b) + (long long)nt * last_st.b; if (final_value <= last_st.c) { dp1_t sub_res = solve_dp1(ns - 1, nt, use_a); if (sub_res.ntrain != LLONG_MAX) { dp1_t cand = {sub_res.ntrain, sub_res.total_people + final_value}; if (cand.ntrain < res.ntrain) res = cand; } } } for (int t = 0; t < nt; ++t) { dp2_t upper_res = solve_dp2(ns, t + 1, use_a); if (upper_res.ntrain == LLONG_MAX) continue; dp1_t lower_res = solve_dp1(ns - 1, nt - 1 - t, false); if (lower_res.ntrain == LLONG_MAX) continue; long long temp_value = upper_res.people_last + (long long)(nt - 1 - t) * last_st.b; long long exceeds = max(temp_value - last_st.c, 0LL); long long extra_train = (exceeds + (k - 1)) / k; long long max_extra_train = (upper_res.people_last - last_st.b) / k; if (extra_train > max_extra_train) continue; temp_value -= extra_train * k; assert(temp_value >= last_st.b); dp1_t cand = {upper_res.ntrain + lower_res.ntrain + extra_train, lower_res.total_people + temp_value}; if (cand.ntrain < res.ntrain) res = cand; } return res; } dp2_t solve_dp2(int ns, int nt, bool use_a) { assert(ns > 0 && nt > 0); dp2_t &res = dp2_memo[ns][nt][use_a]; if (res.ntrain != -1LL) return res; res = {LLONG_MAX, -1LL}; station_t &last_st = st[ns - 1]; { dp1_t sub_res = solve_dp1(ns - 1, nt - 1, use_a); if (sub_res.ntrain != LLONG_MAX) { long long temp_value = (use_a ? last_st.a : last_st.b) + (long long)(nt - 1) * last_st.b; if (temp_value <= last_st.c) { long long extra_train = (sub_res.total_people + k - 1) / k; long long residual = extra_train * k - sub_res.total_people; if (temp_value >= residual) { temp_value -= residual; long long exceeding = max((temp_value + last_st.b) - last_st.c, 0LL); long long extra_train_2 = (exceeding + k - 1) / k; temp_value -= extra_train_2 * k; if (temp_value >= 0) { temp_value += last_st.b; assert(temp_value <= last_st.c); dp2_t cand = {sub_res.ntrain + extra_train + extra_train_2, temp_value}; if (cand.ntrain < res.ntrain) res = cand; } } } } } for (int t = 0; t < nt - 1; ++t) { dp2_t upper_res = solve_dp2(ns, t + 1, use_a); if (upper_res.ntrain == LLONG_MAX) continue; dp1_t mid_res = solve_dp1(ns - 1, nt - t - 2, false); if (mid_res.ntrain == LLONG_MAX) continue; assert(upper_res.people_last >= last_st.b); long long max_extra_train_1 = (upper_res.people_last - last_st.b) / k; long long temp_value = upper_res.people_last + (long long)(nt - t - 2) * last_st.b; long long exceeding_1 = max(temp_value - last_st.c, 0LL); long long extra_train_1 = (exceeding_1 + k - 1) / k; if (extra_train_1 > max_extra_train_1) continue; temp_value -= extra_train_1 * k; long long extra_train_2 = (mid_res.total_people + k - 1) / k; long long residual = extra_train_2 * k - mid_res.total_people; if (temp_value < residual) continue; temp_value -= residual; long long exceeding_3 = max((temp_value + last_st.b) - last_st.c, 0LL); long long extra_train_3 = (exceeding_3 + k - 1) / k; temp_value -= extra_train_3 * k; if (temp_value < 0) continue; temp_value += last_st.b; assert(temp_value <= last_st.c); dp2_t cand = {upper_res.ntrain + mid_res.ntrain + extra_train_1 + extra_train_2 + extra_train_3, temp_value}; if (cand.ntrain < res.ntrain) res = cand; } return res; } long long solve() { dp1_memo.assign( total_ns + 1, vector<array<dp1_t, 2>>(total_nt + 1, array<dp1_t, 2>{{{-1LL, -1LL}, {-1LL, -1LL}}})); dp2_memo.assign( total_ns + 1, vector<array<dp2_t, 2>>(total_nt + 1, array<dp2_t, 2>{{{-1LL, -1LL}, {-1LL, -1LL}}})); return solve_dp1(total_ns, total_nt, true).ntrain; } }; int main() { int ns, nt, k; scanf("%d %d %d", &ns, &nt, &k); vector<station_t> stations(ns); for (int i = 0; i < ns; ++i) scanf("%lld %lld %lld", &stations[i].a, &stations[i].b, &stations[i].c); stations.push_back({(long long)(k - 1) * nt, 0LL, (long long)(k - 1) * nt}); ns = stations.size(); solver_t solver(stations, nt, k); printf("%lld\n", solver.solve()); return 0; }
#include <bits/stdc++.h> const double eps = (1e-9); using namespace std; int dcmp(long double a, long double b) { return fabsl(a - b) <= eps ? 0 : (a > b) ? 1 : -1; } int getBit(int num, int idx) { return ((num >> idx) & 1) == 1; } int setBit1(int num, int idx) { return num | (1 << idx); } long long setBit0(long long num, int idx) { return num & ~(1ll << idx); } long long flipBit(long long num, int idx) { return num ^ (1ll << idx); } void M() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); } int countNumBit1(int mask) { int ret = 0; while (mask) { mask &= (mask - 1); ++ret; } return ret; } long long arr[300009], even[300009], odd[300009]; vector<int> v, sum; int fun(long long no) { int cnt = 0; while (no) { cnt += (no % 2); no /= 2; } return cnt; } int main() { int n; cin >> n; for (int i = 0; i < n; i++) { cin >> arr[i]; int cnt = fun(arr[i]); v.push_back(cnt); } sum.resize(n); sum[0] = v[0]; for (int i = 1; i < ((int)(v).size()); i++) sum[i] = sum[i - 1] + v[i]; even[0] = (sum[0] % 2 == 0); odd[0] = (sum[0] % 2 != 0); for (int i = 1; i < n; i++) { even[i] = even[i - 1] + (sum[i] % 2 == 0); odd[i] = odd[i - 1] + (sum[i] % 2 != 0); } long long add = 1; long long rem = 0, ans = 0, res = 0; for (int i = 0; i < n; i++) { if (rem % 2 == 0) { res += even[n - 1] - even[i + 1 - 1]; } else { res += odd[n - 1] - odd[i + 1 - 1]; } rem += v[i]; int mx = v[i], s = v[i]; for (int j = i + 1, k = 0; j < n && k < 65; j++, k++) { mx = max(mx, v[j]); s += v[j]; if (s - mx < mx && s % 2 == 0) res--; } } cout << res << endl; }
#include <bits/stdc++.h> using namespace std; int a[300500]; int s[300500]; long long o[2]; long long ans; int n; int main() { scanf("%i", &n); for (int i = 1; i <= n; ++i) { long long x; scanf("%lld", &x); while (x) { a[i] += x & 1; x = x >> 1; } s[i] = s[i - 1] + a[i]; } for (int i = 1; i <= n; ++i) o[s[i] % 2]++; ans = o[0] * (o[0] - 1) / 2 + o[1] * (o[1] - 1) / 2 + o[0]; for (int l, r, i = 1; i <= n; ++i) { int q, t; q = a[i]; t = 0; for (l = 1; i - l >= 1; l++) { if (q - t - a[i - l] <= 0) break; t += a[i - l]; } l--; t = 0; for (r = 1; i + r <= n; r++) { if (q - t - a[i + r] <= 0) break; t += a[i + r]; } r--; for (int l1 = 0; l1 <= l; ++l1) for (int r1 = 0; r1 <= r; ++r1) { int v = s[i + r1] - s[i - l1 - 1]; if (v % 2 == 0 && a[i] > v - a[i]) ans--; } } printf("%lld\n", ans); }
#include <bits/stdc++.h> using namespace std; const int N = 32; int main() { int n; cin >> n; vector<int> b(n, 0); for (int i = 0; i < n; i++) { long long a; cin >> a; b[i] = __builtin_popcountll(a); } long long res = 0; int sufsum = 0; vector<vector<int>> cnt(2, vector<int>(n + 1, 0)); cnt[0][n] = 1; for (int i = n - 1; i >= 0; i--) { int sum = 0, mx = 0; int add = 0; for (int j = i; j < n && j - i < 65; ++j) { sum += b[j]; mx = max(mx, b[j]); if (sum % 2 == 0 && mx > sum - mx) add--; } sufsum += b[i]; add += cnt[sufsum & 1][i + 1]; res += add; cnt[0][i] = cnt[0][i + 1]; cnt[1][i] = cnt[1][i + 1]; cnt[sufsum & 1][i]++; } cout << res << endl; return 0; }
#include <bits/stdc++.h> const double PI = 3.1415926; const int KL = 1e6; using namespace std; long long q, x, y, z, n, m, a[KL], mn = 1e9, mx = -1e9, ans; string t; vector<long long> vec[2]; set<int> s; map<int, int> M; int main() { scanf("%lld", &n); for (int i = 0; i < n; i++) { scanf("%lld", &x); while (x != 0) { if (x % 2 == 1) a[i + 1]++; x /= 2; } a[i + 1] += a[i]; } vec[0].push_back(0); for (int i = 1; i <= n; i++) { mx = a[i] - a[i - 1]; for (int j = i - 1; j >= max(0, i - 118); j--) { if ((a[i] - a[j]) % 2 == 0 && mx <= (a[i] - a[j]) / 2) ans++; mx = max(mx, a[j] - a[j - 1]); } int pos; if (a[i] % 2 == 0) pos = 0; else pos = 1; if (vec[pos].size() > 0) { if (vec[pos][0] < max(0, i - 118)) { long long lo = 0, hi = vec[pos].size() - 1; while (lo < hi) { long long mid = (lo + hi + 1) / 2; if (vec[pos][mid] < max(0, i - 118)) lo = mid; else hi = mid - 1; } ans += (long long)(lo + 1); } } if (a[i] % 2 == 0) vec[0].push_back(i); else vec[1].push_back(i); } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; inline long long read() { long long x = 0, w = 0; char ch = getchar(); while (!isdigit(ch)) w |= ch == '-', ch = getchar(); while (isdigit(ch)) x = (x << 1) + (x << 3) + ch - '0', ch = getchar(); return w ? -x : x; } long long a[500000], sum[500000], b[500000], ans; inline long long calc(long long k) { long long res = 0; for (; k; k &= k - 1) ++res; return res; } signed main() { long long n = read(); for (long long i = 1; i <= n; ++i) a[i] = calc(read()), sum[i] = sum[i - 1] + a[i]; b[0] = 1; for (long long i = 1; i <= n; ++i) { ans += b[sum[i] & 1]++; ans -= ((sum[i] & 1) == (sum[i - 1] & 1)); } for (long long i = 1; i <= n; ++i) { long long mx = a[i]; for (long long j = i - 1; j >= max(1ll, i - 64); --j) { mx = max(mx, a[j]); long long t = sum[i] - sum[j - 1]; if (!(t & 1) && mx > t - mx) --ans; } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int max_n = 300005; int b[max_n]; long long x; int sum[max_n]; int odd[max_n]; int even[max_n]; int n; int work(long long x) { int res = 0; while (x) { x -= x & -x; res++; } return res; } int main() { scanf("%d", &n); for (int i = 1; i <= n; i++) { scanf("%lld", &x); b[i] = work(x); } for (int i = 1; i <= n; i++) sum[i] = sum[i - 1] + b[i]; for (int i = 1; i <= n; i++) { odd[i] = odd[i - 1]; if (sum[i] % 2) odd[i]++; even[i] = i - odd[i]; } long long ans = 0; for (int i = 1; i <= n; i++) { if (sum[i - 1] % 2) ans += odd[n] - odd[i - 1]; else ans += even[n] - even[i - 1]; } int maxv; for (int i = 1; i <= n; i++) { maxv = -1; for (int j = 0; j <= 60; j++) { if (j + i > n) break; maxv = max(maxv, b[i + j]); if ((sum[j + i] - sum[i - 1]) % 2 == 0 && maxv > sum[j + i] - sum[i - 1] - maxv) ans--; } } printf("%lld\n", ans); return 0; }