結果
問題 | No.1388 Less than K |
ユーザー | vwxyz |
提出日時 | 2023-11-19 02:25:00 |
言語 | PyPy3 (7.3.15) |
結果 |
TLE
|
実行時間 | - |
コード長 | 4,018 bytes |
コンパイル時間 | 215 ms |
コンパイル使用メモリ | 81,700 KB |
実行使用メモリ | 91,756 KB |
最終ジャッジ日時 | 2023-11-19 02:25:43 |
合計ジャッジ時間 | 43,508 ms |
ジャッジサーバーID (参考情報) |
judge12 / judge13 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 36 ms
53,588 KB |
testcase_01 | AC | 36 ms
53,588 KB |
testcase_02 | AC | 43 ms
61,852 KB |
testcase_03 | AC | 35 ms
53,588 KB |
testcase_04 | AC | 51 ms
64,056 KB |
testcase_05 | AC | 85 ms
76,376 KB |
testcase_06 | AC | 78 ms
73,308 KB |
testcase_07 | AC | 45 ms
61,852 KB |
testcase_08 | AC | 102 ms
76,252 KB |
testcase_09 | AC | 67 ms
71,224 KB |
testcase_10 | AC | 63 ms
71,224 KB |
testcase_11 | AC | 60 ms
68,628 KB |
testcase_12 | AC | 111 ms
76,792 KB |
testcase_13 | AC | 118 ms
77,468 KB |
testcase_14 | AC | 146 ms
77,692 KB |
testcase_15 | AC | 295 ms
79,216 KB |
testcase_16 | AC | 394 ms
80,276 KB |
testcase_17 | AC | 604 ms
81,728 KB |
testcase_18 | AC | 974 ms
84,348 KB |
testcase_19 | AC | 1,387 ms
86,676 KB |
testcase_20 | AC | 1,471 ms
87,236 KB |
testcase_21 | AC | 119 ms
87,404 KB |
testcase_22 | AC | 67 ms
76,232 KB |
testcase_23 | AC | 77 ms
78,212 KB |
testcase_24 | AC | 99 ms
81,896 KB |
testcase_25 | AC | 110 ms
83,216 KB |
testcase_26 | AC | 100 ms
83,916 KB |
testcase_27 | AC | 106 ms
80,288 KB |
testcase_28 | AC | 61 ms
72,380 KB |
testcase_29 | AC | 60 ms
72,180 KB |
testcase_30 | AC | 51 ms
64,296 KB |
testcase_31 | AC | 55 ms
68,956 KB |
testcase_32 | AC | 43 ms
61,848 KB |
testcase_33 | AC | 69 ms
77,572 KB |
testcase_34 | AC | 69 ms
76,792 KB |
testcase_35 | AC | 68 ms
76,016 KB |
testcase_36 | AC | 85 ms
83,180 KB |
testcase_37 | AC | 71 ms
79,192 KB |
testcase_38 | AC | 155 ms
87,480 KB |
testcase_39 | AC | 106 ms
85,780 KB |
testcase_40 | AC | 155 ms
84,988 KB |
testcase_41 | AC | 252 ms
91,340 KB |
testcase_42 | AC | 98 ms
87,464 KB |
testcase_43 | AC | 686 ms
91,444 KB |
testcase_44 | AC | 2,248 ms
91,116 KB |
testcase_45 | AC | 851 ms
90,876 KB |
testcase_46 | AC | 1,063 ms
91,000 KB |
testcase_47 | AC | 2,855 ms
90,856 KB |
testcase_48 | AC | 2,444 ms
91,340 KB |
testcase_49 | TLE | - |
testcase_50 | AC | 2,903 ms
91,204 KB |
testcase_51 | AC | 856 ms
90,916 KB |
testcase_52 | AC | 723 ms
91,084 KB |
testcase_53 | AC | 362 ms
91,548 KB |
testcase_54 | AC | 203 ms
91,240 KB |
testcase_55 | AC | 77 ms
91,016 KB |
testcase_56 | AC | 638 ms
91,636 KB |
testcase_57 | AC | 1,637 ms
91,628 KB |
testcase_58 | AC | 2,863 ms
91,616 KB |
testcase_59 | AC | 888 ms
91,156 KB |
testcase_60 | AC | 714 ms
91,184 KB |
testcase_61 | AC | 96 ms
90,228 KB |
testcase_62 | AC | 73 ms
79,972 KB |
testcase_63 | AC | 100 ms
91,604 KB |
testcase_64 | AC | 125 ms
91,640 KB |
testcase_65 | AC | 211 ms
91,640 KB |
testcase_66 | AC | 371 ms
91,688 KB |
testcase_67 | AC | 361 ms
91,336 KB |
testcase_68 | AC | 1,187 ms
91,636 KB |
testcase_69 | AC | 1,382 ms
91,756 KB |
testcase_70 | AC | 2,268 ms
91,616 KB |
testcase_71 | AC | 1,062 ms
91,160 KB |
testcase_72 | AC | 108 ms
91,652 KB |
testcase_73 | AC | 97 ms
91,636 KB |
testcase_74 | AC | 87 ms
86,768 KB |
testcase_75 | AC | 80 ms
82,056 KB |
testcase_76 | AC | 79 ms
82,056 KB |
ソースコード
import sys readline=sys.stdin.readline def Extended_Euclid(n,m): stack=[] while m: stack.append((n,m)) n,m=m,n%m if n>=0: x,y=1,0 else: x,y=-1,0 for i in range(len(stack)-1,-1,-1): n,m=stack[i] x,y=y,x-(n//m)*y return x,y class MOD: def __init__(self,p,e=None): self.p=p self.e=e if self.e==None: self.mod=self.p else: self.mod=self.p**self.e def Pow(self,a,n): a%=self.mod if n>=0: return pow(a,n,self.mod) else: #assert math.gcd(a,self.mod)==1 x=Extended_Euclid(a,self.mod)[0] return pow(x,-n,self.mod) def Build_Fact(self,N): assert N>=0 self.factorial=[1] if self.e==None: for i in range(1,N+1): self.factorial.append(self.factorial[-1]*i%self.mod) else: self.cnt=[0]*(N+1) for i in range(1,N+1): self.cnt[i]=self.cnt[i-1] ii=i while ii%self.p==0: ii//=self.p self.cnt[i]+=1 self.factorial.append(self.factorial[-1]*ii%self.mod) self.factorial_inve=[None]*(N+1) self.factorial_inve[-1]=self.Pow(self.factorial[-1],-1) for i in range(N-1,-1,-1): ii=i+1 while ii%self.p==0: ii//=self.p self.factorial_inve[i]=(self.factorial_inve[i+1]*ii)%self.mod def Build_Inverse(self,N): self.inverse=[None]*(N+1) assert self.p>N self.inverse[1]=1 for n in range(2,N+1): if n%self.p==0: continue a,b=divmod(self.mod,n) self.inverse[n]=(-a*self.inverse[b])%self.mod def Inverse(self,n): return self.inverse[n] def Fact(self,N): if N<0: return 0 retu=self.factorial[N] if self.e!=None and self.cnt[N]: retu*=pow(self.p,self.cnt[N],self.mod)%self.mod retu%=self.mod return retu def Fact_Inve(self,N): if self.e!=None and self.cnt[N]: return None return self.factorial_inve[N] def Comb(self,N,K,divisible_count=False): if K<0 or K>N: return 0 retu=self.factorial[N]*self.factorial_inve[K]%self.mod*self.factorial_inve[N-K]%self.mod if self.e!=None: cnt=self.cnt[N]-self.cnt[N-K]-self.cnt[K] if divisible_count: return retu,cnt else: retu*=pow(self.p,cnt,self.mod) retu%=self.mod return retu H,W,K=map(int,readline().split()) H-=1;W-=1 K//=2 mod=998244353 fact=[1]+[i for i in range(1,H+W+1)] for i in range(1,H+W+1): fact[i]*=fact[i-1] fact[i]%=mod fact_inve=[i for i in range(1,H+W+1)]+[pow(fact[H+W],mod-2,mod)] for i in range(H+W-1,-1,-1): fact_inve[i]*=fact_inve[i+1] fact_inve[i]%=mod N=min(H,W) ans=0 if K<=300: for h in range(N+1): if h: prev=dp dp=[0]*(2*K+1) else: dp=[0]*(2*K+1) dp[K]=1 for w in range(max(h-K,0),min(h+K,N)+1): if h and abs((h-1)-w)<=K: dp[w-h+K]+=prev[w-(h-1)+K] if w and abs(h-(w-1))<=K: dp[w-h+K]+=dp[(w-1)-h+K] dp[w-h+K]%=mod ans+=fact[H+W]*fact_inve[H-h]%mod*fact_inve[W-h]%mod*fact_inve[2*h]%mod*dp[K]%mod ans%=mod else: for cnt in range(N+1): s=fact[2*cnt]*fact_inve[cnt]%mod*fact_inve[cnt]%mod for i in range(1,cnt//(K+1)+1): if i%2: s-=2*fact[2*cnt]*fact_inve[cnt-(K+1)*i]%mod*fact_inve[cnt+(K+1)*i]%mod else: s+=2*fact[2*cnt]*fact_inve[cnt-(K+1)*i]%mod*fact_inve[cnt+(K+1)*i]%mod s%=mod ans+=fact[H+W]*fact_inve[H-cnt]%mod*fact_inve[W-cnt]%mod*fact_inve[2*cnt]%mod*s%mod ans%=mod print(ans)