QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#665415 | #7737. Extending Distance | tarjen | TL | 13ms | 11760kb | C++20 | 5.4kb | 2024-10-22 12:29:07 | 2024-10-22 12:29:17 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N=510,M=1e5+10;
int n,m,k;
int c[510][510],r[510][510];
struct kkk{
int x,len,pr,f;
bool operator<(kkk k1)const{
return len>k1.len;
}
};
struct SSP {
int cnt = 1, hd[N], nxt[M << 1], to[M << 1], limit[M << 1], cst[M << 1];
void init(int nn){
for(int i=0;i<=nn;i++)hd[i]=0;
cnt=1;
}
// w limit c cost
void add(int u, int v, int f, int c) {// limit cost
nxt[++cnt] = hd[u], hd[u] = cnt, to[cnt] = v, limit[cnt] = f, cst[cnt] = c;
nxt[++cnt] = hd[v], hd[v] = cnt, to[cnt] = u, limit[cnt] = 0, cst[cnt] = -c;
}
void just_add(int u,int v,int f){
nxt[++cnt]=hd[u],hd[u]=cnt,to[cnt]=v,limit[cnt]=f;
}
int fr[N], fl[N], in[N], dis[N];
void calans(int x,int y,int w,int i){
auto in = [&](int id){
return id>=1&&id<=(n-1)*(m-1);
};
if(x==0&&in(y)){
r[1][y]+=w;
}
else if(in(x)&&y==(n-1)*(m-1)+1){
r[n][(x-1)%(m-1)+1]+=w;
}
else if(in(x)&&in(y)){
if(x+m-1==y){
r[(x-1)/(m-1)+2][(x-1)%(m-1)+1]+=w;
}
else if(x-(m-1)==y){
r[(y-1)/(m-1)+2][(y-1)%(m-1)+1]+=w;
}
else if(x+1==y){
c[(x-1)/(m-1)+1][(x-1)%(m-1)+1+1]+=w;
}
else if(x-1==y){
c[(y-1)/(m-1)+1][(y-1)%(m-1)+1+1]+=w;
}
}
};
pair<int, int> min_cost(int s, int t) {
int flow = 0;
ll cost = 0;
while (true) { // SPFA
priority_queue<kkk,vector<kkk>> q;
memset(dis, 0x3f, sizeof(dis));
q.push({s,0,0,(int)1e9});
while (!q.empty()) {
auto [cur,dis_now,pr,f] = q.top();
q.pop();
if(dis_now>=dis[cur])continue;
fr[cur]=pr;
fl[cur]=f;
dis[cur]=dis_now;
for (int i = hd[cur]; i; i = nxt[i]) {
int it = to[i], d = dis[cur] + cst[i];
if (limit[i] && d < dis[it]) {
q.push({it,d,i,min(limit[i], fl[cur])});
}
}
}
if (dis[t] > 1e9) return {flow, cost};//??>0?????
flow += fl[t], cost += (ll)dis[t] * fl[t];
for (int u = t; u != s; u = to[fr[u] ^ 1]) {
calans(to[fr[u]^1],u,fl[t]*cst[fr[u]],fr[u]);
limit[fr[u]] -= fl[t], limit[fr[u] ^ 1] += fl[t];
}
}
}
} sol2;
class Maxflow{
private:
int nedge=1,p[2*M],nex[2*M],head[N],c[2*M],cur[2*M];
int dist[2*N];
int S,T;
void Addedge(int a,int b,int v){
p[++nedge]=b;nex[nedge]=head[a];head[a]=nedge;
c[nedge]=v;
}
bool bfs(){
queue<int>q;
for(int i=S;i<=T;i++)dist[i]=-1;
dist[S]=0;q.push(S);
while(!q.empty()){
int now=q.front();q.pop();
for(int k=head[now];k;k=nex[k])if(dist[p[k]]==-1&&c[k]>0){
dist[p[k]]=dist[now]+1;
q.push(p[k]);
}
}
return dist[T]>-1;
}
int dfs(int x,int low){
if(x==T)return low;
if(low==0)return 0;
int used=0;
for(int &k=cur[x];k;k=nex[k])if(dist[p[k]]==dist[x]+1&&c[k]>0){
int a=dfs(p[k],min(c[k],low-used));
c[k]-=a;c[k^1]+=a;used+=a;
if(low==used)break;
}
if(used==0)dist[x]=-1;
return used;
}
public:
void init(int s,int t){
for(int i=S;i<=T;i++)head[i]=0;
S=s,T=t;
nedge=1;
}
void addedge(int a,int b,int v){
Addedge(a,b,v);
Addedge(b,a,0);
}
int dinic(SSP &sol2){
int flow=0;
while(bfs()){
for(int i=S;i<=T;i++)cur[i]=head[i];
flow+=dfs(S,1e9);
}
for(int i=S;i<=T;i++){
for(int k=head[i];k;k=nex[k])if(k%2==0){
sol2.just_add(i,p[k],c[k]);
sol2.just_add(p[k],i,c[k^1]);
}
}
return flow;
}
}sol1;
void solve()
{
cin>>n>>m>>k;
for(int i=1;i<=n;i++){
for(int j=1;j<m;j++)cin>>r[i][j];
}
for(int i=1;i<n;i++){
for(int j=1;j<=m;j++)cin>>c[i][j];
}
auto id = [&](int x,int y){
return (x-1)*(m-1)+y;
};
int s=0,t=(n-1)*(m-1)+1;
sol1.init(s,t);
auto addedge1 =[&](int x,int y,int w){
sol1.addedge(x,y,w);
sol1.addedge(y,x,w);
};
auto addedge2 =[&](int x,int y,int w=(int)1e9){
sol2.add(x,y,w,1);
sol2.add(y,x,w,1);
};
for(int j=1;j<m;j++){
addedge1(s,id(1,j),r[1][j]);
addedge1(id(n-1,j),t,r[n][j]);
}
for(int i=1;i+1<n;i++){
for(int j=1;j<m;j++){
addedge1(id(i,j),id(i+1,j),r[i+1][j]);
}
}
for(int i=1;i<n;i++){
for(int j=1;j+1<m;j++){
addedge1(id(i,j),id(i,j+1),c[i][j+1]);
}
}
sol2.init(t+1);
sol1.dinic(sol2);
for(int j=1;j<m;j++){
addedge2(s,id(1,j));
addedge2(id(n-1,j),t);
}
for(int i=1;i+1<n;i++){
for(int j=1;j<m;j++){
addedge2(id(i,j),id(i+1,j));
}
}
for(int i=1;i<n;i++){
for(int j=1;j+1<m;j++){
addedge2(id(i,j),id(i,j+1));
}
}
int t2=t+1;
sol2.add(t,t2,k,0);
auto [flow,cost]=sol2.min_cost(s,t2);
cout<<cost<<"\n";
for(int i=1;i<=n;i++){
for(int j=1;j<m;j++)cout<<r[i][j]<<" \n"[j==m-1];
}
for(int i=1;i<n;i++){
for(int j=1;j<=m;j++)cout<<c[i][j]<<" \n"[j==m];
}
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(0);
int T;cin>>T;while(T--)solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 2ms
memory: 9664kb
input:
2 3 4 6 2 1 15 7 1 9 13 3 2 3 6 1 2 5 2 15 3 3 3 3 1 1 2 2 3 3 1 1 1 2 2 2
output:
9 4 1 15 7 1 12 13 3 6 3 6 1 2 5 2 15 3 4 2 3 2 3 3 3 1 1 1 2 2 2
result:
ok Correct. (2 test cases)
Test #2:
score: 0
Accepted
time: 0ms
memory: 9772kb
input:
125 4 4 48 33 9 39 38 74 3 18 44 9 20 91 19 76 95 17 16 61 88 50 49 68 18 33 84 4 4 14 54 69 42 47 90 28 2 73 59 1 20 90 43 22 74 19 27 67 46 43 42 21 78 80 4 4 93 12 67 38 13 85 39 74 68 77 71 80 64 92 97 53 46 66 6 30 20 66 70 71 24 4 4 34 43 86 55 49 34 73 78 77 90 99 49 5 55 4 63 47 80 24 15 3 8...
output:
87 42 42 39 38 74 9 20 81 9 20 91 19 76 95 17 16 61 88 50 49 68 18 33 84 14 54 69 42 47 90 28 2 73 59 15 20 90 43 22 74 19 27 67 46 43 42 21 78 80 166 68 103 39 68 103 39 74 68 77 71 80 64 92 97 53 46 66 6 30 20 66 70 71 24 34 43 86 55 49 34 73 78 77 90 99 49 39 55 4 63 47 80 24 15 3 85 12 6 31 45 4...
result:
ok Correct. (125 test cases)
Test #3:
score: 0
Accepted
time: 4ms
memory: 9652kb
input:
80 5 5 97 10 18 14 13 17 15 16 11 15 10 14 15 12 17 12 15 12 11 15 15 19 19 13 19 19 19 17 10 10 19 12 13 18 11 20 12 17 14 13 12 5 5 65 13 15 13 20 18 19 13 20 10 19 18 17 19 19 11 14 12 18 11 10 18 14 18 19 18 20 11 17 11 17 16 13 19 18 13 16 14 17 11 18 5 5 3 15 10 10 18 17 17 17 14 13 15 15 19 1...
output:
473 29 21 14 86 34 16 16 84 34 11 21 84 30 17 30 73 14 30 33 73 19 19 13 19 19 19 17 10 10 19 12 13 18 11 20 12 17 14 13 12 271 66 15 13 22 64 19 13 20 56 25 18 17 69 19 14 14 70 20 16 10 18 14 18 19 18 20 11 17 11 17 16 13 19 18 13 16 14 17 11 18 3 18 10 10 18 17 17 17 14 13 15 15 19 10 18 16 17 12...
result:
ok Correct. (80 test cases)
Test #4:
score: 0
Accepted
time: 0ms
memory: 11760kb
input:
55 6 6 98 943830625 154853276 396311720 585129723 216006508 789713291 522861691 174874210 616414184 931597164 831871942 149821142 520941619 814161584 200419736 646044877 574761262 188910317 673355715 723256093 264106685 163628126 318085983 226850181 101764170 179381345 486537031 346100002 805792579 ...
output:
98 943830625 154853276 396311720 585129723 216006508 789713291 522861691 174874210 616414184 931597164 831871942 149821142 520941619 814161584 200419736 646044877 574761262 188910317 673355715 723256093 264106685 163628224 318085983 226850181 101764170 179381345 486537031 346100002 805792579 5081942...
result:
ok Correct. (55 test cases)
Test #5:
score: 0
Accepted
time: 3ms
memory: 9660kb
input:
55 6 6 96 16739843 17336211 10384494 17185421 10646458 18552039 13790956 13642043 10307995 14193711 19297204 12810329 18681558 18724838 16636750 11505737 19658923 19307194 12241535 15070027 16123862 17524159 19471242 14316479 10954501 10604286 17691735 17352365 14092770 19909253 11761060 19372581 16...
output:
96 16739843 17336211 10384494 17185421 10646458 18552039 13790956 13642043 10308091 14193711 19297204 12810329 18681558 18724838 16636750 11505737 19658923 19307194 12241535 15070027 16123862 17524159 19471242 14316479 10954501 10604286 17691735 17352365 14092770 19909253 11761060 19372581 16863139 ...
result:
ok Correct. (55 test cases)
Test #6:
score: 0
Accepted
time: 3ms
memory: 9788kb
input:
40 7 7 17 27500 8466 7754 5254 45204 36821 35457 23725 45494 26962 24728 31437 46232 38720 23756 17265 21004 25959 29727 6060 23244 45236 39610 23968 17068 14954 9745 28949 20957 30885 8272 49710 28660 17038 12058 48058 10306 5065 45011 25264 25765 17423 21072 22743 17503 11324 10214 6879 22253 1729...
output:
17 27500 8466 7771 5254 45204 36821 35457 23725 45494 26962 24728 31437 46232 38720 23756 17265 21004 25959 29727 6060 23244 45236 39610 23968 17068 14954 9745 28949 20957 30885 8272 49710 28660 17038 12058 48058 10306 5065 45011 25264 25765 17423 21072 22743 17503 11324 10214 6879 22253 17295 49299...
result:
ok Correct. (40 test cases)
Test #7:
score: 0
Accepted
time: 0ms
memory: 9784kb
input:
31 8 8 84 82373 175391 615535 844446 885043 54908 235817 174599 782716 140021 505505 551220 980613 844864 490309 720051 436451 436322 357173 349094 303200 428983 865478 890817 50236 172208 96832 261006 265321 413840 490656 677420 172238 872751 182871 957260 978182 971447 603592 37811 282590 470570 1...
output:
84 82373 175391 615535 844446 885043 54908 235817 174599 782716 140021 505505 551220 980613 844864 490309 720051 436451 436322 357173 349094 303200 428983 865478 890817 50236 172208 96832 261006 265321 413840 490656 677420 172238 872751 182871 957260 978182 971447 603592 37811 282590 470570 134862 3...
result:
ok Correct. (31 test cases)
Test #8:
score: 0
Accepted
time: 6ms
memory: 10004kb
input:
24 9 9 80 178 146 100 118 196 180 100 110 153 125 200 139 174 169 163 196 173 167 120 182 172 142 188 132 160 150 148 171 162 125 180 152 159 152 161 177 106 129 152 114 179 132 146 126 107 148 141 151 165 123 151 153 112 151 148 182 105 188 136 199 173 192 117 118 116 190 103 198 125 150 105 118 15...
output:
227 178 146 100 118 196 233 100 114 153 125 200 139 174 169 163 196 173 167 120 182 172 142 188 132 160 150 148 171 162 125 180 152 159 166 161 177 114 129 152 127 179 132 146 126 107 156 161 178 165 123 151 153 112 151 148 182 105 188 136 199 173 192 117 118 129 209 144 205 125 150 105 118 157 130 ...
result:
ok Correct. (24 test cases)
Test #9:
score: 0
Accepted
time: 0ms
memory: 11704kb
input:
20 10 10 91 90000001 90000000 90000001 90000000 90000001 90000000 90000000 90000001 90000000 90000001 90000001 90000001 90000001 90000000 90000001 90000001 90000001 90000001 90000001 90000001 90000001 90000000 90000000 90000000 90000001 90000000 90000000 90000000 90000001 90000001 90000001 90000000 ...
output:
886 90000002 90000000 90000003 90000000 90000001 90000000 90000002 90000001 90000085 90000001 90000002 90000001 90000001 90000001 90000001 90000002 90000084 90000001 90000001 90000002 90000001 90000001 90000000 90000002 90000002 90000084 90000001 90000001 90000002 90000001 90000001 90000001 90000001...
result:
ok Correct. (20 test cases)
Test #10:
score: 0
Accepted
time: 13ms
memory: 9764kb
input:
10 14 14 68 20 23 20 22 23 26 23 22 28 30 25 20 29 22 30 26 20 22 21 26 23 23 22 22 22 21 24 29 30 30 24 20 25 23 30 27 27 26 24 30 25 25 24 26 26 23 22 22 30 24 20 23 27 24 29 24 22 24 21 20 20 28 24 21 28 20 24 25 29 20 30 30 30 30 24 27 23 28 29 25 25 26 21 27 23 25 25 27 23 27 23 23 22 27 27 29 ...
output:
607 25 23 20 22 23 26 23 36 28 30 46 20 46 30 30 26 20 27 21 26 37 23 22 25 60 21 24 29 30 30 25 20 25 23 30 34 27 26 45 30 25 28 26 27 32 24 23 24 40 24 20 45 27 24 31 24 23 28 24 28 23 43 27 38 28 20 24 25 29 20 33 30 32 30 24 50 23 28 29 26 29 26 21 33 23 28 25 39 24 42 23 23 22 27 29 29 30 29 24...
result:
ok Correct. (10 test cases)
Test #11:
score: 0
Accepted
time: 6ms
memory: 9996kb
input:
10 10 20 79 1001 1003 1000 1003 1001 1003 1002 1003 1001 1003 1003 1000 1001 1001 1001 1002 1002 1003 1002 1001 1003 1001 1001 1001 1000 1003 1002 1000 1002 1001 1001 1003 1000 1001 1003 1001 1001 1000 1001 1003 1000 1002 1003 1003 1003 1001 1002 1002 1000 1002 1003 1001 1003 1000 1002 1000 1002 100...
output:
732 1006 1003 1000 1003 1001 1003 1048 1003 1001 1003 1003 1000 1005 1001 1001 1002 1009 1003 1008 1003 1011 1002 1003 1001 1000 1003 1039 1004 1006 1005 1001 1005 1000 1001 1004 1008 1002 1005 1005 1003 1003 1002 1003 1003 1003 1003 1004 1002 1040 1007 1003 1001 1004 1001 1009 1000 1007 1003 1003 1...
result:
ok Correct. (10 test cases)
Test #12:
score: 0
Accepted
time: 0ms
memory: 9716kb
input:
10 20 10 21 777601561 917773453 313011120 861769383 651010533 771534309 418153755 749795307 939533489 769621271 705696594 863041783 330858635 136276987 569175453 21935211 559486868 264609946 30013079 725693020 492377730 630078388 365743281 693415122 589281054 690370363 47310510 125777481 136448711 5...
output:
21 777601561 917773453 313011120 861769383 651010533 771534309 418153755 749795307 939533489 769621271 705696594 863041783 330858635 136276987 569175453 21935211 559486868 264609946 30013079 725693020 492377730 630078388 365743281 693415122 589281054 690370363 47310510 125777481 136448711 508925654 ...
result:
ok Correct. (10 test cases)
Test #13:
score: 0
Accepted
time: 4ms
memory: 9668kb
input:
24 6 2 37 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 18 13 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...
output:
222 38 38 38 38 38 38 1 1 1 1 1 1 1 1 1 1 117 4 1 3 3 1 1 2 2 2 1 1 1 1 1 2 1 3 4 2 2 3 1 1 2 1 3 1 1 1 1 1 1 3 2 3 3 1 3 1 2 2 1 2 1 2 1 1 1 2 2 2 2 3 3 2 1 1 3 1 1 1 2 1 2 2 1 1 3 3 2 2 2 2 2 1 1 2 1 1 2 2 2 1 1 3 3 2 1 2 2 2 2 2 1 1 1 2 1 3 1 1 3 2 2 3 2 2 1 2 1 2 1 1 1 2 2 1 3 2 2 3 2 2 2 1 2 1 ...
result:
ok Correct. (24 test cases)
Test #14:
score: -100
Time Limit Exceeded
input:
31 9 3 33 1 5 4 5 3 4 4 2 5 3 4 3 2 5 5 5 4 3 5 1 4 2 1 2 1 5 3 5 3 2 2 3 2 3 5 3 4 4 3 1 4 2 2 3 4 3 2 5 2 1 3 5 12 6 72 2 2 1 1 5 1 2 5 1 4 5 5 1 2 3 4 1 4 4 4 1 2 2 2 5 5 5 3 5 3 2 1 1 3 5 4 1 4 2 1 4 2 1 5 3 3 3 2 4 5 5 5 2 3 3 4 3 4 5 1 3 5 5 5 1 1 5 5 3 2 5 3 5 3 1 4 3 3 5 4 5 1 3 5 2 3 3 5 4 ...