結果
| 問題 | No.5023 Airlines Optimization |
| コンテスト | |
| ユーザー |
Shun_PI
|
| 提出日時 | 2026-02-25 23:02:46 |
| 言語 | C++14 (gcc 15.2.0 + boost 1.89.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 9,774 bytes |
| 記録 | |
| コンパイル時間 | 2,406 ms |
| コンパイル使用メモリ | 200,016 KB |
| 実行使用メモリ | 7,968 KB |
| スコア | 44,334,725 |
| 最終ジャッジ日時 | 2026-02-25 23:05:08 |
| 合計ジャッジ時間 | 107,325 ms |
|
ジャッジサーバーID (参考情報) |
judge4 / judge6 |
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| ファイルパターン | 結果 |
|---|---|
| other | AC * 91 TLE * 9 |
ソースコード
#include <bits/stdc++.h>
using namespace std;
const int T_START = 360;
const int T_END = 1260;
const int T_STEP = 5;
const int NUM_TARGETS = 21;
const int NEG_INF = -999999;
const int MAX_FL = 500;
int N, R, M, K;
double px[50], py[50];
int pw[50];
struct Flight { int a, b, s, t; };
Flight sq_arr[401];
double dist_tab[50][50];
int ftime_tab[50][50];
int vsrc[50][50], vsrc_cnt[50];
int target_t[NUM_TARGETS];
int sq_lat[50][NUM_TARGETS][50];
int plane_start[26];
int rd[26][200]; // route data
int rl[26]; // route length
mt19937 rng;
long long cum_w[50], total_w;
int sample_city() {
long long r = rng() % total_w;
int lo = 1, hi = N;
while (lo < hi) { int m = (lo+hi)/2; if (cum_w[m] <= r) lo=m+1; else hi=m; }
return lo;
}
int sample_buf(const int* buf, int n) {
if (n == 1) return buf[0];
long long s = 0;
for (int i = 0; i < n; i++) s += pw[buf[i]];
long long r = rng() % s, acc = 0;
for (int i = 0; i < n; i++) { acc += pw[buf[i]]; if (acc > r) return buf[i]; }
return buf[n-1];
}
int parse_time(const char* s) { int h,m; sscanf(s,"%d:%d",&h,&m); return h*60+m; }
void precompute() {
for (int i=1;i<=N;i++) for (int j=1;j<=N;j++) {
double dx=px[i]-px[j], dy=py[i]-py[j];
dist_tab[i][j]=sqrt(dx*dx+dy*dy);
}
for (int i=1;i<=N;i++) for (int j=1;j<=N;j++) {
if (i==j){ftime_tab[i][j]=0;continue;}
double raw=60.0*dist_tab[i][j]/800.0+40.0;
ftime_tab[i][j]=(int)ceil(raw/5.0)*5;
}
for (int j=1;j<=N;j++) {
vsrc_cnt[j]=0;
for (int i=1;i<=N;i++)
if (i!=j && dist_tab[i][j]>=0.25*R)
vsrc[j][vsrc_cnt[j]++]=i;
}
for (int k=0;k<NUM_TARGETS;k++) target_t[k]=660+30*k;
cum_w[0]=0;
for (int i=1;i<=N;i++) cum_w[i]=cum_w[i-1]+pw[i];
total_w=cum_w[N];
}
Flight sq_sorted[401]; int sq_scnt;
void precompute_sq() {
sq_scnt=M; memcpy(sq_sorted,sq_arr,sizeof(Flight)*M);
sort(sq_sorted,sq_sorted+sq_scnt,[](const Flight&a,const Flight&b){return a.t>b.t;});
int lat[50];
for (int j=1;j<=N;j++) for (int k=0;k<NUM_TARGETS;k++) {
for (int c=1;c<=N;c++) lat[c]=NEG_INF;
lat[j]=target_t[k];
for (int fi=0;fi<sq_scnt;fi++){
const auto&f=sq_sorted[fi];
if (lat[f.b]!=NEG_INF && f.t<=lat[f.b] && f.s>lat[f.a]) lat[f.a]=f.s;
}
memcpy(sq_lat[j][k],lat,sizeof(int)*(N+1));
}
}
// Per-plane cached flights
Flight pfl[26][50]; int pfl_cnt[26];
void gen_plane(int p) {
pfl_cnt[p]=0;
if (rl[p]<2) return;
int cur=plane_start[p];
for (int i=0;i+1<rl[p];i++){
int a=rd[p][i],b=rd[p][i+1],arr=cur+ftime_tab[a][b];
if (arr>T_END) break;
pfl[p][pfl_cnt[p]++]={a,b,cur,arr};
cur=arr;
}
}
Flight ci_buf[MAX_FL]; int ci_cnt;
void rebuild_ci() {
ci_cnt=0;
for (int p=1;p<=K;p++)
for (int i=0;i<pfl_cnt[p];i++)
ci_buf[ci_cnt++]=pfl[p][i];
sort(ci_buf,ci_buf+ci_cnt,[](const Flight&a,const Flight&b){return a.t>b.t;});
}
long long eval_score() {
long long v=0; int lat[50];
for (int j=1;j<=N;j++){
int wj=pw[j], vc=vsrc_cnt[j];
if (!vc) continue;
for (int k=0;k<NUM_TARGETS;k++){
for (int c=1;c<=N;c++) lat[c]=NEG_INF;
lat[j]=target_t[k];
for (int fi=0;fi<ci_cnt;fi++){
int fb=ci_buf[fi].b;
if (lat[fb]!=NEG_INF && ci_buf[fi].t<=lat[fb]){
int fa=ci_buf[fi].a;
if (ci_buf[fi].s>lat[fa]) lat[fa]=ci_buf[fi].s;
}
}
const int*sq=sq_lat[j][k], *vs=vsrc[j];
for (int vi=0;vi<vc;vi++){
int i=vs[vi];
if (sq[i]<lat[i]) v+=(long long)pw[i]*wj;
}
}
}
return v;
}
void fill_route(int p) {
int cur=plane_start[p];
for (int i=0;i+1<rl[p];i++){
int ft=ftime_tab[rd[p][i]][rd[p][i+1]];
if (cur+ft>T_END){rl[p]=i+1;return;}
cur+=ft;
}
int cands[50],ccnt;
while (true) {
int last=rd[p][rl[p]-1]; ccnt=0;
for (int c=1;c<=N;c++){
if (c==last) continue;
if (cur+ftime_tab[last][c]<=T_END) cands[ccnt++]=c;
}
if (!ccnt) break;
int nx=sample_buf(cands,ccnt);
rd[p][rl[p]++]=nx;
cur+=ftime_tab[last][nx];
}
}
int main(){
rng.seed(chrono::steady_clock::now().time_since_epoch().count());
scanf("%d%d",&N,&R);
for (int i=1;i<=N;i++) scanf("%lf%lf%d",&px[i],&py[i],&pw[i]);
scanf("%d",&M);
for (int i=0;i<M;i++){
char ss[10],tt[10];
scanf("%d%s%d%s",&sq_arr[i].a,ss,&sq_arr[i].b,tt);
sq_arr[i].s=parse_time(ss); sq_arr[i].t=parse_time(tt);
}
scanf("%d",&K);
precompute(); precompute_sq();
// ---- Multiple random starts, pick best ----
long long init_best = -1;
int init_rd[26][200], init_rl[26], init_ps[26];
for (int trial=0; trial<5; trial++){
for (int p=1;p<=K;p++){
plane_start[p]=T_START;
rd[p][0]=sample_city(); rl[p]=1;
fill_route(p);
gen_plane(p);
}
rebuild_ci();
long long sc=eval_score();
if (sc>init_best){
init_best=sc;
for (int p=1;p<=K;p++){
memcpy(init_rd[p],rd[p],sizeof(int)*rl[p]);
init_rl[p]=rl[p]; init_ps[p]=plane_start[p];
}
}
}
for (int p=1;p<=K;p++){
memcpy(rd[p],init_rd[p],sizeof(int)*init_rl[p]);
rl[p]=init_rl[p]; plane_start[p]=init_ps[p];
gen_plane(p);
}
rebuild_ci();
// ---- SA ----
long long cur_score=init_best, best_score=init_best;
int best_rd[26][200], best_rl[26], best_ps[26];
for (int p=1;p<=K;p++){
memcpy(best_rd[p],rd[p],sizeof(int)*rl[p]);
best_rl[p]=rl[p]; best_ps[p]=plane_start[p];
}
auto t0=chrono::steady_clock::now();
const double time_limit=0.97;
int iter=0;
double cur_temp=1e13;
int old_rd_buf[200];
int old_rl_v, old_ps_v, old_pfl_cnt_v;
Flight old_pfl_buf[50];
// Save ci_buf for fast rollback (avoid re-sorting)
Flight saved_ci[MAX_FL]; int saved_ci_cnt;
while(true){
if ((iter&63)==0){
double el=chrono::duration<double>(chrono::steady_clock::now()-t0).count();
if (el>=time_limit) break;
double prog=el/time_limit;
cur_temp=1e13*pow(1e-4,prog);
}
iter++;
int p=rng()%K+1;
// Save state
old_rl_v=rl[p]; old_ps_v=plane_start[p]; old_pfl_cnt_v=pfl_cnt[p];
memcpy(old_rd_buf,rd[p],sizeof(int)*old_rl_v);
memcpy(old_pfl_buf,pfl[p],sizeof(Flight)*old_pfl_cnt_v);
saved_ci_cnt=ci_cnt;
memcpy(saved_ci,ci_buf,sizeof(Flight)*ci_cnt);
// Mutation (0-2: change city 37.5%, 3: insert 12.5%, 4: remove 12.5%,
// 5: swap 12.5%, 6: start time 12.5%, 7: reinit 12.5%)
int mut=rng()%8;
if (mut<=2 && rl[p]>=2){
int pos=rng()%rl[p];
rd[p][pos]=sample_city();
} else if (mut==3 && rl[p]<190){
int pos=rng()%(rl[p]+1), nc=sample_city();
for (int i=rl[p];i>pos;i--) rd[p][i]=rd[p][i-1];
rd[p][pos]=nc; rl[p]++;
} else if (mut==4 && rl[p]>=2){
int pos=rng()%rl[p];
for (int i=pos;i+1<rl[p];i++) rd[p][i]=rd[p][i+1];
rl[p]--;
} else if (mut==5 && rl[p]>=3){
int a=rng()%rl[p], b=rng()%rl[p];
swap(rd[p][a],rd[p][b]);
} else if (mut==6){
int delta=((int)(rng()%13)-6)*T_STEP;
plane_start[p]=max(T_START,min(T_END,plane_start[p]+delta));
} else {
rd[p][0]=sample_city(); rl[p]=1;
fill_route(p);
}
// Validate
bool ok=true;
for (int i=0;i<rl[p]&&ok;i++) if (rd[p][i]<1||rd[p][i]>N) ok=false;
for (int i=0;i+1<rl[p]&&ok;i++) if (rd[p][i]==rd[p][i+1]) ok=false;
if (!ok||rl[p]==0){
memcpy(rd[p],old_rd_buf,sizeof(int)*old_rl_v);
rl[p]=old_rl_v; plane_start[p]=old_ps_v;
continue;
}
gen_plane(p);
rebuild_ci();
long long ns=eval_score();
long long d=ns-cur_score;
bool accept=(d>=0);
if (!accept && cur_temp>0){
accept=((rng()%1000000)<(int)(exp((double)d/cur_temp)*1000000));
}
if (accept){
cur_score=ns;
if (ns>best_score){
best_score=ns;
for (int q=1;q<=K;q++){
memcpy(best_rd[q],rd[q],sizeof(int)*rl[q]);
best_rl[q]=rl[q]; best_ps[q]=plane_start[q];
}
}
} else {
// Fast rollback: restore saved state without rebuild_ci
memcpy(rd[p],old_rd_buf,sizeof(int)*old_rl_v);
rl[p]=old_rl_v; plane_start[p]=old_ps_v;
pfl_cnt[p]=old_pfl_cnt_v;
memcpy(pfl[p],old_pfl_buf,sizeof(Flight)*old_pfl_cnt_v);
ci_cnt=saved_ci_cnt;
memcpy(ci_buf,saved_ci,sizeof(Flight)*saved_ci_cnt);
}
}
// Restore best
for (int p=1;p<=K;p++){
memcpy(rd[p],best_rd[p],sizeof(int)*best_rl[p]);
rl[p]=best_rl[p]; plane_start[p]=best_ps[p];
gen_plane(p);
}
fprintf(stderr,"SA: %d iters, best=%lld\n",iter,best_score);
// Output
for (int p=1;p<=K;p++){
printf("%d\n",pfl_cnt[p]);
for (int i=0;i<pfl_cnt[p];i++)
printf("%d %02d:%02d %d %02d:%02d\n",
pfl[p][i].a,pfl[p][i].s/60,pfl[p][i].s%60,
pfl[p][i].b,pfl[p][i].t/60,pfl[p][i].t%60);
}
return 0;
}
Shun_PI