In the new Rwanda you will have Tutsis voting for Hutus and vice versa.
However, Burundi's Tutsis would fear for their own safety if the nation's army was commanded by Hutus.
Rwanda and Uganda got involved in the Congo mess because they wanted to hunt down those genocidal Rwandan Hutus.
Yet Burundi's Hutus were radicalised by the overthrow of their democratically elected government.
Demography favours the Hutus, who are becoming both more confident and better armed.
Rwandan Hutus remained in the jungles of eastern Congo, where they preyed on local residents and participated in Hutu militias.
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In the north-west, the West Nile Liberation Front, a mixture of discontented Ugandans and Congolese plus Rwandan Hutus, is causing problems.
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The victims were mostly from the Tutsi ethnic minority, who were targeted by Hutus over a rivalry that dates to colonial days.
But the Hutus' three-month slaughter of Tutsis left more than 800, 000 dead.
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Ethnic friction arose when colonial Belgium built an alliance with Tutsi leaders, a ruling class that was overthrown by Hutus in 1959.
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If Mr Buyoya stayed on, it would stir many Hutus to shift their support from peaceful Hutu parties to violent rebel groups.
They preach reconciliation and have brought Hutus, in some number, into government.
Nkunda, a Tutsi and former Congolese army general, has repeatedly blamed the Congolese government for not protecting Tutsis from Rwandan Hutus in Congo.
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Under a power-sharing deal signed in August, the Tutsi minority will have 40% of government and national assembly posts, compared to 60% for Hutus.
The warfare between Congolese government forces and rebels under the command of Laurent Nkunda represents the lingering tensions between Hutus and Tutsis in neighboring Rwanda.
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Tutsis, who make up 14% of the population but have traditionally dominated power, will have 40% of seats in the national assembly, compared to 60% for Hutus.
One movement, the Mai Mai, is made up of local ethnic groups and links up with former Rwandan soldiers, former Zairean army soldiers and some Burundian Hutus.
But it is probably true that the group has no shortage of recruits, including disgruntled Hutus in Rwanda, whose government is led by a tough Tutsi, Paul Kagame.
He could attract the followers of his fallen allies: Hutus from Rwanda, the late Mobutu Sese Seko's presidential guard from Congo, exiled supporters of Congo-Brazzaville's ex-President Pascal Lissouba.
"All along we thought that's why they were here, " Kagame said, referring to the U.N. troops sent to monitor a peace agreement between the minority Tutsis and ruling Hutus.
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Even when army officers murdered the elected president, Melchior Ndadaye, and then, in 1996, overthrew his successor, the Hutus could do nothing to defend him, let alone start killing on the scale of Rwanda.
With Angola's war looking to start again, conflict bubbling in Congo-Brazzaville and the Central African Republic, and with Tutsis and Hutus still at each other's throats, there could be a conflagration that would engulf the whole of Central Africa.
Under international law the host country, then Zaire, now once again Congo, should have provided security for the refugees, and separated the fighters, but the late Mobutu Sese Seko was the Hutus' ally, happy to leave them armed and close to the border.
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