#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define fi first
#define se second
#define mp make_pair
#define pb push_back
typedef long long ll;
typedef pair<int,int> ii;
typedef vector<int> vi;
typedef long double ld;
typedef tree<ii, null_type, less<ii>, rb_tree_tag, tree_order_statistics_node_update> pbds;
int ans[1111111];
bool solve(string &s)
{
int n=s.length();
for(int i=0;i<n;i++) ans[i]=0;
int ptr = 0;
stack<int> S;
for(int i=0;i<n;i++)
{
if(s[i]=='(')
{
S.push(i);
}
else
{
if(!S.empty())
{
int u=S.top();
ans[i]|=1; ans[u]|=1; S.pop();
}
else
{
while(ptr<i&&(s[ptr]!='('||ans[ptr]>=3)) ptr++;
if(ptr>=i) return 0;
ans[ptr]|=2; ans[i]|=2;
}
}
}
ptr=n-1;
for(int i=n-1;i>=0;i--)
{
if(s[i]==')'||ans[i]>0) continue;
while(ptr>i&&(s[ptr]!=')'||ans[ptr]>=3)) ptr--;
if(ptr<=i) return 0;
ans[i]|=2; ans[ptr]|=2;
}
return 1;
}
bool valid(string &s)
{
int cnt=0;
for(int i=0;i<s.length();i++)
{
if(s[i]=='(') cnt+=2;
else cnt--;
if(cnt<0) return false;
}
cnt=0;
for(int i=int(s.length())-1;i>=0;i--)
{
if(s[i]==')') cnt+=2;
else cnt--;
if(cnt<0) return false;
}
return true;
}
const int MOD=1e9+7;
int add(int a, int b)
{
a+=b;
while(a>=MOD) a-=MOD;
return a;
}
int mult(int a, int b)
{
return (a*1LL*b)%MOD;
}
/*
const int C = 302;
int dp[303][606][906];
void gen(int n)
{
freopen("parentrises-precomp.txt","w",stdout);
memset(dp,0,sizeof(dp));
cout<<"int ans[302]={0,";
dp[0][0][C] = 1;
for(int i=0;i<n;i++)
{
for(int j=0;j<2*n;j++)
{
for(int k=-n;k<2*n;k++)
{
if(dp[i][j][k+C]>0)
{
//+ (
int v=dp[i][j][k+C];
//cerr<<i<<' '<<j<<' '<<k<<' '<<v<<'\n';
dp[i+1][j+2][min(-1, -1+k)+C]=add(dp[i+1][j+2][min(-1, -1+k)+C],v);
//+ )
if(j>0) dp[i+1][j-1][min(2,2+k)+C] = add(dp[i+1][j-1][min(2,2+k)+C],v);
}
}
}
}
for(int i=1;i<=n;i++)
{
int ans=0;
for(int j=0;j<=2*n;j++)
{
for(int k=0;k<=2*n;k++)
{
ans=add(ans,dp[i][j][k+C]);
}
}
cout<<ans;
if(i+1<=n) cout<<",";
}
cout<<"};";
cout<<'\n';
return ;
}
*/
int res[302]={0,0,1,2,2,6,12,18,43,86,148,326,652,1194,2531,5062,9578,19884,39768,76680,157236,314472,613440,1248198,2496396,4906266,9932707,19865414,39237478,79165646,158331292,313801154,631634323,263268639,509707998,43257469,86514938,72895660,288290012,576580024,551498904,962513721,925027435,204521844,634307677,268615347,287719520,559111350,118222693,578936427,105459291,210918582,360752402,920849461,841698915,421349166,985137176,970274345,96196738,666703791,333407575,448451120,71192847,142385694,391328273,82210164,164420328,697441626,75399225,150798450,177655189,77725370,155450740,578770998,806452500,612904993,342317187,437431531,874863062,166780006,649351541,298703075,764861307,105948983,211897966,169754380,332500687,665001374,648783808,296688714,593377428,43060831,684124175,368248343,973819030,849070862,698141717,982308804,88186365,176372730,959772055,320975583,641951166,825442333,311190079,622380158,765671696,14446067,28892134,262223145,966556598,933113189,520941027,287565710,575131420,666019185,263936054,527872108,39283492,877846547,755693087,433079969,737806887,475613767,203965075,701508060,403016113,922600280,277710517,555421034,408729101,377397802,754795604,250532053,528340400,56680793,124734442,232656836,465313672,714603167,631625056,263250105,52648990,389536240,779072480,641256163,302398795,604797590,697370162,632833340,265666673,626109777,298187773,596375546,406717000,515830626,31661245,524137426,667633864,335267721,338047842,390892123,781784246,93415445,65330389,130660778,151215664,822766849,645533691,833650616,380489231,760978462,54775313,491923347,983846694,322809267,940997512,881995017,596258099,507985218,15970429,557503950,859869218,719738429,474482700,767988978,535977949,635491203,387005395,774010790,702061186,253594815,507189630,31838831,822372294,644744581,231777149,215914547,431829094,482869402,576014681,152029355,369499245,244741222,489482444,95772722,952809165,905618323,304323137,304632041,609264082,102336119,335070266,670140532,858231094,960619772,921239537,859847032,56893721,113787442,360033502,982628521,965257035,849451750,439416129,878832258,991939394,464496385,928992770,267785589,802816545,605633083,763528731,474974661,949949322,864267253,946087508,892175009,476000768,273171027,546342054,550581443,469352643,938705286,624000951,673806443,347612879,434823692,233016716,466033432,103642988,440059594,880119188,788176043,40656596,81313192,286602731,202636014,405272028,733717711,472596468,945192936,553096598,892385168,784770329,912447619,707646096,415292185,526477156,861291715,722583423,111861393,588150125,176300243,301383510,244253166,488506332,629844702,421869639,843739278,290375226,384946885,769893770,95673275,473895679,947791358,891751001,164209639,328419278,62075416,175112411,350224822,934621064,806088783,612177559,897003764,948394637,896789267,953901352,418921686,837843372,499200486};
int main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
//gen(301); return 0;
/*
int n; cin>>n;
for(int i=0;i<(1<<n);i++)
{
string s;
for(int j=0;j<n;j++)
{
if(i&(1<<j)) s+='(';
else s+=')';
}
bool tmp = solve(s);
bool tmp2 = valid(s);
if(tmp!=tmp2)
{
cout<<s<<'\n'; return 0;
}
}
return 0;
*/
int type; cin>>type;
int t; cin>>t;
while(t--)
{
if(type==1)
{
string s; cin>>s;
bool tmp = solve(s);
if(!tmp)
{
cout<<"impossible\n";
continue;
}
for(int i=0;i<s.length();i++)
{
if(ans[i]==1) cout<<"B";
else if(ans[i]==2) cout<<"R";
else cout<<"G";
}
cout<<'\n';
}
else
{
int n; cin>>n;
cout<<res[n]<<'\n';
}
}
}
Compilation message
parentrises.cpp: In function 'bool valid(std::__cxx11::string&)':
parentrises.cpp:62:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0;i<s.length();i++)
~^~~~~~~~~~~
parentrises.cpp: In function 'int main()':
parentrises.cpp:176:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i=0;i<s.length();i++)
~^~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
504 KB |
Output is correct |
3 |
Correct |
2 ms |
504 KB |
Output is correct |
4 |
Correct |
2 ms |
544 KB |
Output is correct |
5 |
Correct |
2 ms |
568 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
588 KB |
Output is correct |
2 |
Correct |
2 ms |
608 KB |
Output is correct |
3 |
Correct |
2 ms |
624 KB |
Output is correct |
4 |
Correct |
2 ms |
624 KB |
Output is correct |
5 |
Correct |
2 ms |
632 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
588 KB |
Output is correct |
2 |
Correct |
2 ms |
608 KB |
Output is correct |
3 |
Correct |
2 ms |
624 KB |
Output is correct |
4 |
Correct |
2 ms |
624 KB |
Output is correct |
5 |
Correct |
2 ms |
632 KB |
Output is correct |
6 |
Correct |
2 ms |
636 KB |
Output is correct |
7 |
Correct |
2 ms |
676 KB |
Output is correct |
8 |
Correct |
2 ms |
680 KB |
Output is correct |
9 |
Correct |
2 ms |
684 KB |
Output is correct |
10 |
Correct |
2 ms |
688 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
588 KB |
Output is correct |
2 |
Correct |
2 ms |
608 KB |
Output is correct |
3 |
Correct |
2 ms |
624 KB |
Output is correct |
4 |
Correct |
2 ms |
624 KB |
Output is correct |
5 |
Correct |
2 ms |
632 KB |
Output is correct |
6 |
Correct |
2 ms |
636 KB |
Output is correct |
7 |
Correct |
2 ms |
676 KB |
Output is correct |
8 |
Correct |
2 ms |
680 KB |
Output is correct |
9 |
Correct |
2 ms |
684 KB |
Output is correct |
10 |
Correct |
2 ms |
688 KB |
Output is correct |
11 |
Correct |
2 ms |
692 KB |
Output is correct |
12 |
Correct |
2 ms |
704 KB |
Output is correct |
13 |
Correct |
2 ms |
732 KB |
Output is correct |
14 |
Correct |
2 ms |
744 KB |
Output is correct |
15 |
Correct |
2 ms |
772 KB |
Output is correct |
16 |
Correct |
6 ms |
912 KB |
Output is correct |
17 |
Correct |
7 ms |
1532 KB |
Output is correct |
18 |
Correct |
5 ms |
1532 KB |
Output is correct |
19 |
Correct |
8 ms |
1532 KB |
Output is correct |
20 |
Correct |
7 ms |
1568 KB |
Output is correct |
21 |
Correct |
36 ms |
1672 KB |
Output is correct |
22 |
Correct |
51 ms |
6984 KB |
Output is correct |
23 |
Correct |
35 ms |
6984 KB |
Output is correct |
24 |
Correct |
43 ms |
6984 KB |
Output is correct |
25 |
Correct |
52 ms |
6984 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
6984 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
6984 KB |
Output is correct |
2 |
Correct |
2 ms |
6984 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
6984 KB |
Output is correct |
2 |
Correct |
2 ms |
6984 KB |
Output is correct |
3 |
Correct |
2 ms |
6984 KB |
Output is correct |