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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#621700#8717. 骰子UESTC_OldEastWestWA 1013ms21968kbC++171.9kb2024-10-08 16:20:512024-10-08 16:20:51

Judging History

你现在查看的是最新测评结果

  • [2024-10-08 16:20:51]
  • 评测
  • 测评结果:WA
  • 用时:1013ms
  • 内存:21968kb
  • [2024-10-08 16:20:51]
  • 提交

answer

#include<cstdio>
#define ll long long
#define maxn 1505
#define maxm 405
using namespace std;

const ll mod=1e9+7;
int n,m,q;
ll b[maxn],p[maxn][maxm],d[maxm];
ll A[maxm][maxm];
struct matrix
{
	int del;//偏移
	ll p[maxm],q[maxm],val[maxm];
	ll mul(ll x,ll y)
	{
		ll ret=1;
		while(y)
		{
			if(y&1)
			ret=ret*x%mod;
			x=x*x%mod;
			y>>=1;
		}
		return ret;
	}
	ll inv(ll x)
	{
		return mul(x,mod-2);
	}
	void inv()//上三角矩阵求逆
	{
		q[0]=inv(p[0]);
		for(int i=1;i<=m;++i)
		{
			ll ret=0;
			for(int j=0;j<i;++j)
			ret=(ret+p[i-j]*q[j]%mod)%mod;
			ret=(mod-ret)%mod;
			q[i]=inv(ret);
		}
		for(int i=0;i<=m;++i)
		for(int j=i;j<=m;++j)
		A[i][j]=q[j-i];
	}
	void getval()
	{
		for(int i=0;i<=m;++i)
		for(int j=0;j<=m;++j)
		val[i]=(val[i]+A[i][j]*b[j]%mod)%mod;
	}
}pre[maxn];

void getpre(ll a[],ll b[],ll c[])
{
	for(int i=0;i<=m;++i)
	c[i]=0;
	for(int i=0;i<=m;++i)
	for(int j=0;i+j<=m;++j)
	c[i+j]=(c[i+j]+a[i]*b[j]%mod)%mod;
}

int main()
{
	scanf("%d%d%d",&n,&m,&q);
	for(int i=0;i<=m;++i)
	scanf("%lld",&b[i]);
	for(int i=1;i<=n;++i)
	{
		for(int j=0;j<=m;++j)
		{
			scanf("%lld",&p[i][j]);
			p[i][j]%=mod;
		}
	}
	pre[0].p[0]=1;
	pre[0].inv();
	pre[0].getval();
	for(int i=1;i<=n;++i)
	{
		pre[i].del=pre[i-1].del;
		for(int j=0;j<=m;++j)
		{
			if(p[i][j]==0)
			pre[i].del++;
			else
			{
				for(int k=0;k<=m;++k)
				d[k]=0;
				for(int k=j;k<=m;++k)
				d[k-j]=p[i][k];
				break;
			}
		}
		getpre(pre[i-1].p,d,pre[i].p);
		pre[i].inv();
		pre[i].getval();
	}
	for(int i=1;i<=q;++i)
	{
		int l,r;
		scanf("%d%d",&l,&r);
		ll ans=0;
		int del=pre[r].del-pre[l-1].del;
		for(int i=0;i+del<=m;++i)
		ans=(ans+pre[r].p[i]*pre[l-1].val[i+del]%mod)%mod;
		printf("%lld\n",ans);
	}
	return 0;
}
/*
3 3 3
4 3 2 1
0 1 0 1000000007
0 500000004 0 500000004
0 0 500000004 500000004
1 1
1 2
1 3
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 5724kb

input:

3 3 3
4 3 2 1
0 1 0 1000000007
0 500000004 0 500000004
0 0 500000004 500000004
1 1
1 2
1 3

output:

3
1
0

result:

ok 3 number(s): "3 1 0"

Test #2:

score: 0
Accepted
time: 1ms
memory: 5744kb

input:

3 3 6
4 3 2 1
1000000007 0 1 0
1000000007 1 0 0
1000000007 0 1 0
1 1
1 2
1 3
2 2
2 3
3 3

output:

2
1
0
3
1
2

result:

ok 6 numbers

Test #3:

score: 0
Accepted
time: 1ms
memory: 5764kb

input:

1 1 1
604063100 57375033
742299910 257700098
1 1

output:

148903503

result:

ok 1 number(s): "148903503"

Test #4:

score: -100
Wrong Answer
time: 1013ms
memory: 21968kb

input:

1500 200 600000
253665324 876103781 804024983 929290295 908790466 176299158 528078340 696679927 416465140 509641654 705083449 361711737 250659645 735832780 35321360 383752049 203979021 178832532 785212637 514502839 169840231 65809146 504755349 516829442 382478309 901925498 142312128 782336477 741339...

output:

396460030
511961313
525565006
211723824
735320297
220019197
621570067
798644527
835478406
189858602
543951444
562387861
504654411
293681948
951201705
841236823
353764479
71491865
40322496
554098916
647642628
439202093
745093138
479566301
611020106
608055329
662015873
871420248
289991656
898693644
64...

result:

wrong answer 1st numbers differ - expected: '66394849', found: '396460030'